If sin (2x + 7) = cos (4x - 7) º, what is the value of x?

x = 15°

Step-by-step explanation:

We are given;

sin (2x + 7) = cos (4x - 7)

We are required to solve for the value of x

We need to know that for complementary angles;

Sin θ = Cos (90-θ) where, θ and 90-θ are complementary angles.

Complementary angles are angles that add to 90° Therefore;

(2x + 7) + (4x - 7) = 90

6x = 90

x = 15°

Therefore, the value of x is 15°