Question

8. Let angle A and angle B be acute angles in two right triangles. Calculate the angle and

round to the nearest tenth of a degree.
a. sin A = 0.87
b. cos B = 0.15

Answer 1

9514 1404 393

Answer:

a. 60.5°

b. 81.4°

Explanation:

Inverse functions are used to find the angle value for a given trig function value.

a) arcsin(0.87) ≈ 60.5°

b) arccos(0.15) ≈ 81.4°

__

On many calculators, these functions are accessed using a 2nd or Shift key. They are often labeled as sin⁻¹ and cos⁻¹. The calculator will have a mode setting that needs to be set to "Degrees" if you don't want the angle in radians or grads.