Question

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

Answer 1

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