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

x = 68°

Step-by-step 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