Class 12 Mathematics: Inverse Trigonometric Functions Worksheet
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Q1 · MCQ · 1 mark
The principal value of sin⁻¹(1/2) is:
Q2 · MCQ · 1 mark
The domain of cos⁻¹(x) is:
Q3 · MCQ · 1 mark
If sin⁻¹x = y, then:
Q4 · MCQ · 1 mark
The value of tan⁻¹(1) + cos⁻¹(1/2) is:
Q5 · MCQ · 1 mark
The value of cot⁻¹(-1/√3) is:
Q6 · FILL · 1 mark
The principal value branch of sec⁻¹x is ____.
Q7 · FILL · 1 mark
sin(sin⁻¹x) = ____ for all x ∈ [-1, 1].
Q8 · FILL · 1 mark
The principal value of cos⁻¹(-1/2) is ____.
Q9 · SHORT · 2 marks
Find the principal value of tan⁻¹(-√3).
Q10 · SHORT · 2 marks
Is the statement cos⁻¹(cos(3π/2)) = 3π/2 true? Justify your answer.