Question

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


pls give answer fast
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Answer 1

Answer:

yoo!! bro ✌✌

cot A = 8/15

cot A = Base/Perpendicular

base = 8x

Perpendicular = 15x

since, it is a right angled triangle, we'll use Pythagoras theorem to find the hypotenuse of the triangle

( H )² = ( B )² + ( P )²

= ( H )² = ( 8x )² + ( 15x )²

= ( H )² = 64x² + 225x²

= ( H )² = 289x²

= H = 17x

Now, sin A = Perpendicular/Hypotenuse

= 15x/17x = 15/17.

sec A = Hypotenuse/Base

= 17x/8x = 17/8.

so, your final answer:-

sin A = 15/17

sec A = 17/8.