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Mathematics Worksheet
🔄 Inverse Trigonometric Functions
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Evaluate arcsin, arccos and arctan.Know the range of each inverse function.Find an angle from a known ratio.Understand why ranges are restricted.📚 Quick Recap
Inverse trig functions reverse the process of sine, cosine, and tangent — instead of giving a ratio from an angle, they give back the angle from a ratio.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1arcsin(0) =:
2arccos(0) =:
3arctan(0) =:
4A triangle has adjacent 5 and hypotenuse 10. Angle A via arccos is:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5arcsin(0) = .
6arccos(0) = .
7Find arcsin(0).
8Find arccos(0).
9Find arctan(0).
🚀 Section C · Challenge ● CHALLENGE 5
10A triangle has adjacent 5, hypotenuse 10. Find angle A using arccos.
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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1-A 2-A 3-A 4-A | 5 0° 6 90° 7 = 0° 8 = 90° 9 = 0° | 10 = arccos(0.5) = 60°