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Answer :

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°

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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.