Quiz 1 - Trig Unit

  • CCSS.Math.Content.HSG-SRT.C.8
  • CCSS.Math.Content.HSF-TF.A.1
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| By Carolyn Kiser
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Carolyn Kiser
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Quizzes Created: 4 | Total Attempts: 1,864
| Attempts: 339 | Questions: 12
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1) (give your answer to 3 decimal places)

Explanation

make sure that your calculator is in the correct mode.

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About This Quiz
Quiz 1 - Trig Unit - Quiz

Quiz 1 - Trig Unit assesses understanding of basic trigonometric principles in right triangles and trigonometric functions. It covers calculations of side lengths and angles, enhancing skills in practical geometry and preparing learners for advanced mathematical applications.

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2) Simplify the following radical.

Explanation

not-available-via-ai

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3) The trig ratio a/c is represented by

Explanation

The trig ratio a/c represents the cosine of angle β.

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4) Evaluate x if cos x =0.156(round to the neearest degree)

Explanation

The answer is 81° because when the cosine of an angle is 0.156, we can use the inverse cosine function to find the angle. The inverse cosine of 0.156 is approximately 81° when rounded to the nearest degree.

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5) Evaluate x if

tan x = 2.45

(answer correct to 1 decimal place)

Explanation

Make sure that your calculator is in the correct mode!

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6) In triangle ABC angle B=90, AB=6 and BC=8.  Find AC.

Explanation

In a right triangle, the side opposite the right angle (hypotenuse) is always the longest side. Using the Pythagorean theorem, we can find the length of the hypotenuse (AC) by taking the square root of the sum of the squares of the other two sides (AB and BC). In this case, AB squared is 36 and BC squared is 64. The sum of these is 100, and the square root of 100 is 10. Therefore, AC is 10.

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7) Find the missing value to the nearest degree. Tan x = 57

Explanation

not-available-via-ai

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8)

Explanation

not-available-via-ai

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9) What is the length of the hypotenuse of a right triangle with legs of 6 centimeters and 10 centimeters?

Explanation

In your calculator you go to y equals and type in 136/x. Then, press 2nd, graph. 4 is the only perfect square that can divide into 136. so you would have square root of 4 times square root of 34. 34 has no perfect square factors so it is stuck underneath the square root. The square root of 4 is 2. Thus 2 on the square root of 34

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10) In triangle ABC angle B=90, AB=15 and AC=17.  Find BC.

Explanation

In a right triangle, the side opposite the right angle is called the hypotenuse. In this case, AC is the hypotenuse. According to the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides, we can calculate BC. Using the formula, BC^2 = AC^2 - AB^2, we substitute the given values to find BC^2 = 17^2 - 15^2. Simplifying, BC^2 = 289 - 225, which gives BC^2 = 64. Taking the square root of both sides, we find BC = 8.

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11) Which equation would best help solve for x?

Explanation

The equation cos 25 = x/48 would best help solve for x because it represents the cosine of angle 25 being equal to x divided by 48. By rearranging the equation, we can find the value of x.

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12) Evaluate x if

sin x = 2/3

(correct to the neearest degree)

Explanation

Make sure that your calculator is in the coreect mode

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(give your answer to 3 decimal places)
Simplify the following radical.
The trig ratio a/c is represented by
Evaluate x if cos x =0.156(round to the neearest degree)
Evaluate x if tan x = 2.45(answer correct to 1 decimal place)
In triangle ABC angle B=90, AB=6 and BC=8.  Find AC.
Find the missing value to the nearest degree. Tan x = 57
What is the length of the hypotenuse of a right triangle with legs of...
In triangle ABC angle B=90, AB=15 and AC=17.  Find BC.
Which equation would best help solve for x?
Evaluate x if sin x = 2/3(correct to the neearest degree)
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