What is the value of x?

sin 49° = cos x°

Sine (sin) and cosine (cos) are both used in different trigonometric functions to relate the lengths of the sides of the right triangle. The values of a sine of an angle is equal to the value of the cosine of its complement.

Complementary angles are angles whose measures sum up to 90 degrees. From the given equation above and the description explained,

49 + x = 90

The value of x from the equation is equal to 41 degrees.

Answer: 41 degrees