Exercises

Trigonometric Ratios and Applications

Challenge your understanding of trigonometric ratios and their applications with questions on sine, cosine, and tangent. Explore key special-angle values for 0°, 30°, 45°, 60°, and 90°, identify ratios using right triangles, and determine angles from given trigonometric values. You will also review quadrant signs, equivalent tangent angles, and when the tangent function is undefined. This quiz is ideal for students building confidence with foundational trigonometry concepts.

Answer the questions below and check the explanation for each answer.

0/10 answered

  1. 1

    What is the sine of a 30-degree angle?

  2. 2

    Which trigonometric ratio represents the adjacent side over the hypotenuse?

  3. 3

    What is the tangent of a 45-degree angle?

  4. 4

    Which angle has a sine of 1?

  5. 5

    What is the cosine of 0 degrees?

  6. 6

    If tangent of angle θ is 1, which other angle besides 45 degrees could θ represent?

  7. 7

    Which angle corresponds to cosine being negative and sine being positive?

  8. 8

    At which degree is the tangent function undefined?

  9. 9

    What is the sine of a 60-degree angle?

  10. 10

    If the cosine of an angle is √3/2, what is the angle?

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