What is the value of x sin x + 11 degrees equals cos 2x + 22 degrees enter your answer in the Box

In geometry, if the angles have the same values of sine and cosine, it implies that the angles are complementary which further means that the sum of their measures should be 90°. With the given expressions for the angles above,

(x + 11) + (2x + 22) = 90

Simplifying,

3x + 33 = 90

Further simplification,

3x = 90 - 33 = 57

The value of x from the equation is 19.

Answer: x = 19