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Inverse Trigonometric Functions EXERCISE 2.1 Solutions
- Q1: Find the principal values of the following: $\sin^{-1} (\frac{-1}{2})$
- Q2: Find the principal values of the following: $\cos^{-1} (\frac{\sqrt{3}}{2})$
- Q3: Find the principal values of the following: $\csc^{-1} (2)$
- Q4: Find the principal values of the following: $\tan^{-1} (-\sqrt{3})$
- Q5: Find the principal values of the following: $\cos^{-1} (\frac{-1}{2})$
- Q6: Find the principal values of the following: $\tan^{-1} (-1)$
- Q7: Find the principal values of the following: $\sec^{-1} (\frac{2}{\sqrt{3}})$
- Q8: Find the principal values of the following: $\cot^{-1} (\sqrt{3})$
- Q9: Find the principal values of the following: $\cos^{-1} (\frac{-1}{\sqrt{2}})$
- Q10: Find the principal values of the following: $\cosec^{-1} (-\sqrt{2})$
- Q11: Find the values of the following: $\tan^{-1}(1) + \cos^{-1}(\frac{-1}{2}) + \sin^{-1}(\frac{-1}{2})$
- Q12: Find the values of the following: $\cos^{-1}(\frac{1}{2}) + 2\sin^{-1}(\frac{1}{2})$
- Q13: If $\sin^{-1} x = y$, then
- Q14: $\tan^{-1}(\sqrt{3}) - \sec^{-1}(-2)$ is equal to
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