Inverse Trigonometric Functions Quiz

What does the notation 'arc' in arc sine, arc cosine, and arc tangent represent?

• The derivative of the trigonometric function

• The reciprocal of the trigonometric function

• The inverse of the trigonometric function

• The integral of the trigonometric function

In which quadrants is the inverse sine function restricted?

• Quadrants 3 and 4

• Quadrants 1 and 4

• Quadrants 2 and 3

• Quadrants 1 and 2

What is the range of the inverse cosine function?

• -π to π

• 0 to π

• -π/2 to π/2

• 0 to 2π

Which angle corresponds to a cosine value of -√3/2?

• 120°

• 135°

• 150°

• 180°

What is the inverse tangent of -√3/3 in degrees?

• -90°

• -30°

• -45°

• -60°

If the inverse sine of a value is greater than 1, what is the solution?

• The angle is 180°

• The angle is 90°

• No solution

• The angle is 0°

How do you find the tangent of an angle in a right triangle if you know the cosine?

• Use the secant function

• Use the cotangent function

• Use the Pythagorean theorem to find the opposite side

• Use the sine function

What is the inverse cosine of 0.86 approximately in degrees?

• 60.7°

• 90.0°

• 149.3°

• 120.5°

In the water ski ramp problem, which trigonometric function is used to find the angle?

• Cosine

• Secant

• Tangent

• Sine

What is the angle in degrees for the water ski ramp problem if the height is 5.5 and the length is 12?

• 60.5°

• 15.2°

• 27.3°

• 45.0°