Question

Type your response in the space provided. for what value of θ, in degrees, is sin θ = cos 58°?

Answer 1

The value of θ in degrees for which sin θ equals cos 58° is 32 degrees, relying on the complementary angle identity.

Step-by-step explanation:

To find the value of θ for which sin θ = cos 58°, we need to consider the complementary angle identity, which states that sin(θ) = cos(90° - θ). Therefore, to find the angle θ that makes this equation true, we set θ equal to the complement of 58°:

sin θ = cos 58°

θ = 90° - 58°

θ = 32°

So, the value of θ where sin θ equals cos 58° is 32 degrees.