Answer:
x = 15°
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°