Question

In sin????=cos(????-45°)where ???? and ????-45° are acute angles, find the degree measure of ????.

Answer 1

sin????= cos(????-45) where ???? And ????-45 are acute angles.

1. We know, cos x = sin(90-x)

2. So, we can write

cos(????-45)= sin(90-(????-45))

3. Dubstituting in main equation we get,

sin????= sin(90-(????-45))

=> ???? = 90-????+45

=> 135-???? = ????

=> 2(????) = 135

=>???? = 67.5

So, 67.5 and (67.5-45)= 22.5 are the acute angles mentioned.