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
Name:
Date:
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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.
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