Question

Given that csc (x) = 5/4, and sec (x) = 5/3, find cos(90–x).

Answer 1

hi, do you know what cos (90-x) simplify to ?

Answer 2

Is it sin(x) because sin and cos are complementary?

Answer 3

correct! good
and how to get sin x from csc x ?

Answer 4

use the relation
sin x = 1/csc x

and the answer u get for sin x will be same for cos (90-x) :)

Answer 5

So it would be 4/5.

Answer 6

yes, correct! :)