Question

Solve the equation sin(xº - 20°) = cos(42") for x, where 0

Answer 1

x = 68°

Explanation:

Using the cofunction identity

cos x° = sin(90 - x)°, then

cos42° = sin(90 - 42)° = sin48°

Given

sin(x - 20)° = cos42°, then

sin(x - 20)° = sin48°, thus

x - 20 = 48 ( add 20 to both sides )

x = 68