Inverse Trigonometric Functions · Class 12 · CBSE · Science Mathematics
Using the principal value of the inverse sine function, find sin⁻¹(−√3/2).
Practice question from Inverse Trigonometric Functions (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
easy · MCQ · Q-3EF52B
Using the principal value of the inverse sine function, find sin⁻¹(−√3/2).
- A.−π/6
- B.−π/3Correct answer
- C.π/3
- D.2π/3
Solution
The principal value range of sin⁻¹x is [−π/2, π/2]. Since sin(−π/3) = −√3/2, sin⁻¹(−√3/2) = −π/3.
More from Inverse Trigonometric Functions
- For the function f(x) = cos⁻¹(2x − 1), which of the following gives its domain and range?
- Evaluate cos⁻¹(cos(7π/6)) using the principal value of cos⁻¹.
- Evaluate sin⁻¹(3/5) + sin⁻¹(4/5), and justify your answer using the principal-value ranges.
- Using the principal value of the inverse tangent function, find tan⁻¹(−√3).
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