Question

given cot a=8, find sin a and sec a

Answer 1

$\green{\boxed{..{\huge{\fbox{\red{\mathfrak{Answers}}}}}}}$
see in attachment.

Answer 2

15 cot A =8

cot A= 8/15 

cot A = 8/15  = base/height

________________________________________________

Let height be 15x and base be 8x

By Pythagoras Theorem,

(15x)^2 + (8x)^2 = hypotenuse^2

(225 + 64)x^2  = hypotenuse^2

289x^2 = hypotenuse^2

17x  = hypotenuse

_______________________________________________

Now,

sin A = height/hypotenuse

Sin A = 15/17

AND

sec A = hypotenuse/base

Sec A = 17/8

i hope this will help you