Trigonometric Ratio Of Special Angles

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| By Sherrelle Francisco
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Sherrelle Francisco
Community Contributor
Quizzes Created: 1 | Total Attempts: 828
| Attempts: 828
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  • 1/5 Questions

    What is the value of tan 45o?

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About This Quiz

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 30o?

    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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  • 3. 

    What is sin 60o? 

    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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  • 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 the sin 45o?

    Explanation
    The sine of 45 degrees is equal to the square root of 2 divided by 2. The sine function relates the ratio of the length of the side opposite to the angle to the length of the hypotenuse in a right triangle. In a 45-45-90 triangle, the two legs are congruent, and the hypotenuse is equal to the length of the leg multiplied by the square root of 2. Therefore, the length of the leg opposite the 45-degree angle is equal to the length of the hypotenuse divided by the square root of 2, which simplifies to the square root of 2 divided by 2.

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  • Sep 22, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Feb 25, 2020
    Quiz Created by
    Sherrelle Francisco
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