Inverse Trigonometric Functions · Class 12 · CBSE · Science Mathematics
Using the principal value of the inverse tangent function, find tan⁻¹(−√3).
Practice question from Inverse Trigonometric Functions (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
easy · MCQ · Q-71A431
Using the principal value of the inverse tangent function, find tan⁻¹(−√3).
- A.−π/6
- B.−π/3Correct answer
- C.π/3
- D.2π/3
Solution
The principal range of tan⁻¹x is (−π/2, π/2). Since tan(−π/3) = −√3, tan⁻¹(−√3) = −π/3.
More from Inverse Trigonometric Functions
- Using the principal value of the inverse sine function, find sin⁻¹(−√3/2).
- 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.
Practise more Mathematics
Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.
Start practising freeFree to start · No credit card needed