Question

For an acute angle θ, the equation sin (θ) = cos (7°)is true. What is the value of θ?

Answer 1

Answer:

  θ = 83°

Step-by-step explanation:

For acute angles, the sine of an angle is the cosine of its complement, and vice versa.

__

  sin(θ) = cos(90° -θ) . . . . relation between sine and cosine

  sin(θ) = cos(7°) . . . . . . . . given

  90° -θ = 7° . . . . . . . . . matching arguments of cos( )

  θ = 83° . . . . . . . . . add θ -7° to both sides