Question

In a right triangle, sin (3x + 7) = cos (8x + 4)°. Solve for x. Round your answer

to the nearest hundredth if necessary.

Answer 1

7.18

Explanation:

Using the fact that sin(A) = cos(90 - A), we can set 3x + 7 equal to the complementary angle of 8x + 4:

3x + 7 = 90 - (8x + 4)

Simplifying and solving for x:

11x = 79

x = 7.18 (rounded to two decimal places)

Therefore, x is approximately equal to 7.18.