How can you find a value of x that satisfies the equation sin 38° = cos(x).

Question

Honestly, I'm just really confused, I don't understand when to use cot, or ark cos.

Answer 1

sin38 = cosx

x = 90-38 = 52 degrees

sine of an angle = cosine of the complementary angle

sinA = cos(90-A)

Answer 2

The appropriate formula

sin θ = cos (90° - θ)

Can you substitute and answer?

Answer 3

x = cos^-1(sin38°) + 360°n = 52° + 360°n or x = 360° - cos^-1(sin38°) + 360°n = 308° + 360°n