Question

GIVEN 15 COT A =8, find sin A and sec A

Answer 1

refer to attachment mate☺️✌️


hope it's helps you.

Answer 2

Answer:

sin(A) = 15/17

sec(A) = 17/8

Step-by-step explanation:

Given

15cot(A) = 8

or cot(A) = 8/15

Formula

$1 + \cot {}^{2} ( \alpha ) = \csc {}^{2} ( \alpha )$

$\sin {}^{2} ( \alpha ) + \cos {}^{2} ( \alpha ) = 1$

Calculations

Now

1 + cot²(A) = csc²(A)

or 1 + 8²/15² = csc²(A)

or csc²(A) = (15² + 8²)/15²

or csc²(A) = 289/15² = 17²/15²

or csc(A) = 17/15

or sin(A) = 15/17

and

sin²(A) + cos²(A) = 1

or 15²/17² + cos²(A) = 1

or cos²(A) = 1 - 15²/17²

or cos²(A) = (17²- 15²)/17²

or cos²(A) = 64/17² = 8²/17²

or cos(A) = 8/17

or sec(A) = 17/8