Question

If (20°+ x) is an acute angle and cos (20°+ x) = sin 60°

Answer 1

Answer:

Cos(20+x)=sin60

sin[90-(20+x)] = sin 60

cancelling sin on both sides

90 - 20 - x = 60

70 - 60 = x

x = 10 degree

Answer 2

Answer:

x=10°

Step-by-step explanation:

Given :

Cos (20° + x) = Sin 60°

=> Cos (20° + x) = Cos (90° - 60°) , since Cos(90°-x) = Sin x, by the complementary angle formula

=> 20° + x = 90° - 60° , by comparing both sides

=> x = 10°