Question

Given 15 cot A = 8, find sin A and sec A.​

Answer 1

Answer:

sin A = 15/17

sec A = 17/8

Step-by-step explanation:

15 cot A = 8

First get cot A alone.

cot A = 8 / 15

Since cot is the reciprocal of tan then flip 15 and 8.

tan A = 15 / 8

Now you have the opposite and adjacent sides, just find the hypotenuse with Pythagorean's theorem

15^2 + 8^2 = 289

$\sqrt{289}$ = 17

Now that you have all the sides use the opposite and hypotenuse to get sine and the adjacent and hypotenuse to get cosine then flip to get secant.

sin A = 15/17

cos A = 8/17

sec A = 17/8