Find the value of x that satisfies the identity cos (x+30) = sin (x)

x = 30

Step-by-step explanation:

Using the cofunction identity

cos x° = sin (90 - x) °

Given

cos (x + 30) ° = sin x°, then

x + 30 = 90 - x (add x to both sides)

2x + 30 = 90 (subtract 30 from both sides)

2x = 60 (divide both sides by 2)

x = 30