9514 1404 393
Answer:
a. 60.5°
b. 81.4°
Step-by-step 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.