# X002 Identify Trigonometric Ratio

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| By Anthony Nunan
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Anthony Nunan
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Find the appropriate ratio that will find the missing value on the triangles below.

• 1.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The Sine Ratio is used when the angle given is the 'excluded' angle. That means, the hypotenuse and the other marked side don't form the angle you are given.

Rate this question:

• 2.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The Sine Ratio is used when the angle given is the 'excluded' angle. That means, the hypotenuse and the other marked side don't form the angle you are given.

Rate this question:

• 3.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The Sine Ratio is used when the angle given is the 'excluded' angle. That means, the hypotenuse and the other marked side don't form the angle you are given.

Rate this question:

• 4.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The Sine Ratio is used when the angle given is the 'excluded' angle. That means, the hypotenuse and the other marked side don't form the angle you are given.

Rate this question:

• 5.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The Sine Ratio is used when the angle given is the 'excluded' angle. That means, the hypotenuse and the other marked side don't form the angle you are given.

Rate this question:

• 6.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The Sine Ratio is used when the angle given is the 'excluded' angle. That means, the hypotenuse and the other marked side don't form the angle you are given.

Rate this question:

• 7.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The Sine Ratio is used when the angle given is the 'excluded' angle. That means, the hypotenuse and the other marked side don't form the angle you are given.

Rate this question:

• 8.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The Sine Ratio is used when the angle given is the 'excluded' angle. That means, the hypotenuse and the other marked side don't form the angle you are given.

Rate this question:

• 9.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The Sine Ratio is used when the angle given is the 'excluded' angle. That means, the hypotenuse and the other marked side don't form the angle you are given.

Rate this question:

• 10.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The Sine Ratio is used when the angle given is the 'excluded' angle. That means, the hypotenuse and the other marked side don't form the angle you are given.

Rate this question:

• 11.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The Cosine (or Cos for short) Ratio is used when the angle given is the 'included' angle. That means the angle is in between the hypotenuse and the other marked side.

Rate this question:

• 12.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The Cosine (or Cos for short) Ratio is used when the angle given is the 'included' angle. That means the angle is in between the hypotenuse and the other marked side.

Rate this question:

• 13.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The Cosine (or Cos for short) Ratio is used when the angle given is the 'included' angle. That means the angle is in between the hypotenuse and the other marked side.

Rate this question:

• 14.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The Cosine (or Cos for short) Ratio is used when the angle given is the 'included' angle. That means the angle is in between the hypotenuse and the other marked side.

Rate this question:

• 15.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The Cosine (or Cos for short) Ratio is used when the angle given is the 'included' angle. That means the angle is in between the hypotenuse and the other marked side.

Rate this question:

• 16.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The Cosine (or Cos for short) Ratio is used when the angle given is the 'included' angle. That means the angle is in between the hypotenuse and the other marked side.

Rate this question:

• 17.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The Cosine (or Cos for short) Ratio is used when the angle given is the 'included' angle. That means the angle is in between the hypotenuse and the other marked side.

Rate this question:

• 18.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The Cosine (or Cos for short) Ratio is used when the angle given is the 'included' angle. That means the angle is in between the hypotenuse and the other marked side.

Rate this question:

• 19.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The Cosine (or Cos for short) Ratio is used when the angle given is the 'included' angle. That means the angle is in between the hypotenuse and the other marked side.

Rate this question:

• 20.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The Cosine (or Cos for short) Ratio is used when the angle given is the 'included' angle. That means the angle is in between the hypotenuse and the other marked side.

Rate this question:

• 21.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

C. Tangent
Explanation
The Tangent(or Tan for short) Ratio is used when you are given two sides, and neither of them is the hypotenuse. It is usually the easiest to identify.

Rate this question:

• 22.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

C. Tangent
Explanation
The Tangent(or Tan for short) Ratio is used when you are given two sides, and neither of them is the hypotenuse. It is usually the easiest to identify.

Rate this question:

• 23.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

C. Tangent
Explanation
The Tangent(or Tan for short) Ratio is used when you are given two sides, and neither of them is the hypotenuse. It is usually the easiest to identify.

Rate this question:

• 24.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

C. Tangent
Explanation
The Tangent(or Tan for short) Ratio is used when you are given two sides, and neither of them is the hypotenuse. It is usually the easiest to identify.

Rate this question:

• 25.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

C. Tangent
Explanation
The Tangent(or Tan for short) Ratio is used when you are given two sides, and neither of them is the hypotenuse. It is usually the easiest to identify.

Rate this question:

• 26.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

C. Tangent
Explanation
The Tangent(or Tan for short) Ratio is used when you are given two sides, and neither of them is the hypotenuse. It is usually the easiest to identify.

Rate this question:

• 27.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

C. Tangent
Explanation
The Tangent(or Tan for short) Ratio is used when you are given two sides, and neither of them is the hypotenuse. It is usually the easiest to identify.

Rate this question:

• 28.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

C. Tangent
Explanation
The Tangent(or Tan for short) Ratio is used when you are given two sides, and neither of them is the hypotenuse. It is usually the easiest to identify.

Rate this question:

• 29.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

C. Tangent
Explanation
The Tangent(or Tan for short) Ratio is used when you are given two sides, and neither of them is the hypotenuse. It is usually the easiest to identify.

Rate this question:

• 30.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

C. Tangent
Explanation
The Tangent(or Tan for short) Ratio is used when you are given two sides, and neither of them is the hypotenuse. It is usually the easiest to identify.

Rate this question:

• 31.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The sine ratio should be used to solve the given triangle. Sine is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. By using the sine ratio, the lengths of the sides of the triangle can be determined.

Rate this question:

• 32.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The sine ratio should be used to solve the above triangle. The sine ratio is used to find the ratio of the length of the side opposite an angle to the length of the hypotenuse. By using the sine ratio, we can determine the length of the side opposite the given angle in the triangle.

Rate this question:

• 33.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The sine ratio should be used to solve the given triangle. The sine ratio relates the length of the side opposite an angle to the length of the hypotenuse. By using the sine ratio, we can determine the length of the side opposite the given angle and solve the triangle.

Rate this question:

• 34.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The sine ratio should be used to solve the given triangle. The sine ratio relates the length of the side opposite an angle to the length of the hypotenuse. By using the sine ratio, you can determine the length of the side opposite the given angle in relation to the length of the hypotenuse.

Rate this question:

• 35.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The sine ratio should be used to solve the triangle. The sine ratio relates the length of the side opposite an angle to the length of the hypotenuse. By using the sine ratio, we can determine the length of the missing side or the measure of an unknown angle in the triangle.

Rate this question:

• 36.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The sine ratio should be used to solve the triangle because the sine of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. By using the sine ratio, we can determine the length of the side opposite the given angle and then solve the triangle.

Rate this question:

• 37.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The sine ratio should be used to solve the given triangle. The sine ratio relates the length of the side opposite an angle to the length of the hypotenuse. By using the sine ratio, one can find the length of the side opposite the given angle in the triangle.

Rate this question:

• 38.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The sine ratio should be used to solve the given triangle. The sine ratio is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. By using the sine ratio, we can determine the lengths of the sides of the triangle based on the given angle.

Rate this question:

• 39.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
The sine ratio should be used to solve the given triangle. The sine ratio is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. By using the sine ratio, we can determine the lengths of the sides of the triangle and find missing angles.

Rate this question:

• 40.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

A. Sine
Explanation
To solve the given triangle, the sine ratio should be used. The sine ratio is defined as the ratio of the length of the side opposite the given angle to the length of the hypotenuse. By using the sine ratio, the missing side or angle in the triangle can be determined.

Rate this question:

• 41.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The cosine ratio should be used to solve the given triangle. The cosine ratio is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. It is commonly used to find the length of a side or the measure of an angle in a right triangle when the lengths of the other sides are known. Therefore, using the cosine ratio would be the appropriate choice for solving the triangle.

Rate this question:

• 42.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The cosine ratio should be used to solve the given triangle. The cosine ratio is used to find the length of the adjacent side of a right triangle when the angle and the length of the hypotenuse are known. Since the question does not provide any specific information about the triangle, it can be assumed that the cosine ratio is the most appropriate choice as it can be used to solve a wide range of triangle problems involving angles and side lengths.

Rate this question:

• 43.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The cosine ratio should be used to solve the triangle because it relates the adjacent side to the hypotenuse in a right triangle. By using the cosine ratio, we can determine the length of the side adjacent to the given angle.

Rate this question:

• 44.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
To solve the given triangle, the cosine ratio should be used. The cosine ratio is used to find the length of the adjacent side of a right triangle when the angle and the length of the hypotenuse are known. Since the question does not provide any specific information about the triangle or the angle, it can be assumed that the cosine ratio would be the most appropriate choice among the given options.

Rate this question:

• 45.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The cosine ratio should be used to solve the given triangle. The cosine ratio is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. It is commonly used to find the length of a side or the measure of an angle in a triangle when the lengths of the other two sides are known. In this case, using the cosine ratio would be the most appropriate method to solve the triangle.

Rate this question:

• 46.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The cosine ratio should be used to solve the given triangle. The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is commonly used to find the length of a side or the measure of an angle in a triangle when the lengths of the other sides are known. Therefore, the cosine ratio is the appropriate choice for solving this triangle.

Rate this question:

• 47.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The cosine ratio should be used to solve the given triangle. The cosine ratio relates the length of the adjacent side to the length of the hypotenuse in a right triangle. By using the cosine ratio, we can determine the value of one of the angles in the triangle, given the lengths of the two sides.

Rate this question:

• 48.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The cosine ratio should be used to solve the given triangle. The cosine ratio is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. It is used to find the length of one side of a right triangle when the lengths of the other two sides are known. Since the question does not provide any specific information about the triangle, it is assumed to be a right triangle where the cosine ratio can be applied. Therefore, the cosine ratio is the appropriate ratio to use in this case.

Rate this question:

• 49.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The cosine ratio should be used to solve the given triangle. The cosine ratio is used to find the length of a side of a triangle when the adjacent side and the angle between them are known. Since the question does not provide any additional information about the triangle, it can be assumed that the adjacent side and the angle are given, making the cosine ratio the appropriate choice for solving the triangle.

Rate this question:

• 50.

### Which ratio should you use to solve the above triangle?

• A.

Sine

• B.

Cosine

• C.

Tangent

• D.

Sine, Cosine & Tangent could all work

• E.

None of these will solve this triangle

B. Cosine
Explanation
The cosine ratio should be used to solve the given triangle.

Rate this question:

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• Current Version
• Mar 14, 2023
Quiz Edited by
ProProfs Editorial Team
• Jul 09, 2015
Quiz Created by
Anthony Nunan