Question

If sinA = cos8A then A = ?

Answer 1

Given,

sinA = cos8A

We know that, sinx = cos ( 90 - x)

Now,

cos ( 90 - A) = cos8A

Cancelling cosine on both sides .

90 - A = 8A

90 = 8A + A

90 = 9A

A = 10°

Also, We know cosx = sin( 90 - x)



sinA = sin( 90 - 8A )

Cancelling sine on both sides.

A = 90 - 8A

-90 = -9A

A = 10°

Hope helped!

Answer 2

Hey...!!!!

---------->>>>>>>-------->>>>>>>
---------->>>>>>>-------->>>>>>>
Given
sinA = cos 8A

cos 8A = cos (90-A)
8A=90-A
9A=90°
A =10°

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I Hope It's help you...!!!!