Inverse Trigonometric Ratios Worksheet
This worksheet covers inverse trigonometric ratios (arcsin, arccos, arctan) for Grade 10 math students, including finding angles and solving problems.
Includes
Standards
Topics
Inverse Trigonometric Ratios
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. The inverse sine function is denoted as arcsin or .
2. If sin(θ) = x, then θ = (x).
3. The domain of arcsin(x) is .
4. The range of arctan(x) is .
5. Which of the following is equivalent to cos⁻¹(0.5)?
30°
45°
60°
90°
6. For which value of x is arcsin(x) undefined?
0
0.5
1
1.5
7. Find the value of θ in degrees, rounded to one decimal place, if sin(θ) = 0.75.
8. A ladder leans against a wall. If the ladder is 10 meters long and reaches 8 meters up the wall, what angle does the ladder make with the ground? Round your answer to the nearest degree.
9. The range of arccos(x) is [0, π].
True
False
10. arctan(x) can produce an angle of 90 degrees.
True
False
11. A right-angled triangle has an opposite side of length 5 and an adjacent side of length 12. Calculate the angle opposite the side of length 5, in degrees, rounded to one decimal place.
12. Evaluate arccos(-0.5) in radians.