Trigonometric Ratio Of Special Angles

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| By Sherrelle Francisco

Sherrelle Francisco

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Quizzes Created: 1 | Total Attempts: 788

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What is the sin 45^o?

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Explore the trigonometric ratios of special angles in this focused quiz. Master your understanding of sine and tangent values for angles like 30\u00b0, 45\u00b0, and 60\u00b0, essential for excelling in mathematics.

Trigonometric Ratio Of Special Angles - Quiz

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2.

What is sin 60^o?

Explanation
The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. In a 30-60-90 triangle, the side opposite the 60-degree angle is equal to the square root of 3 times the length of the shorter leg, and the hypotenuse is twice the length of the shorter leg. Therefore, the sine of 60 degrees is equal to the square root of 3 divided by 2.

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3.

What is the value of tan 45^o?

Explanation
The value of tan 45o is 1. In a right triangle, the tangent of an angle is equal to the length of the side opposite the angle divided by the length of the adjacent side. In a 45-45-90 triangle, the opposite side and the adjacent side are equal in length, so the tangent of 45 degrees is 1.

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4.

The value of sin 30 degrees is __________.

Explanation
In trigonometry, the sine of 30 degrees is a basic value that equals 1/2. This is a common ratio used to calculate angles and sides in right triangles.

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5.

What is sin 30^o?

Explanation
The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. In a right triangle with a 30-degree angle, the side opposite the angle is equal to half the length of the hypotenuse. Therefore, the sine of 30 degrees is equal to 1/2.

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