Question

Evaluate the inverse trigonometric function cos-1(3√2) in both radians and degrees.

1) π/2 or 90°
2) π/3 or 60°
3) π/4 or 45°
4) π/6 or 30°

Answer 1

The inverse trigonometric function cos-1(3√2) evaluates to π/4 or 45°.

Step-by-step explanation:

The inverse trigonometric function cos-1(3√2) can be evaluated in both radians and degrees.

In radians, the inverse cosine function gives the angle whose cosine is a given value. In this case, the cosine of the angle is 3√2. We can use the identity cos2(x) + sin2(x) = 1 to find the sine value. Since the cosine value is positive, we know the angle is in the first or second quadrant. Therefore, the angle is π/4 or 45° (option 3) in radians and degrees.