If sin A = 3/5 and A is acute, then find the value of tan A x cot(90° - A).

If sin A = 3/5 and A is acute, then find the value of tan…

If sin A = $\frac{3}{5}$ and A is acute, then find the value of tan A x cot(90° - A).

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. $\frac{9}{16}$ .

sin A = 3/5 = Length/Hypotenuse

Base = √(5² - 3³) = √(25 - 9) = √16 = 4

cos A = Base/Hypotenuse = 4/5

tan A × cot(90° – A)

= tan A × tan A

= tan²A

= (3/4)²

= 9/16