If tan(90° – A) = √3, what is sin A?

2025

If tan(90° – A) = √3, what is sin A?

  1. A.

    1/2

  2. B.

    √3/2

  3. C.

    √2/2

  4. D.

    3/4

Show answer & explanation

Correct answer: A

tan(90° - A) = cot A. If cot A = sqrt3, then tan A = 1/sqrt3. Therefore A = 30° and sin A = 1/2.

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