MHT CET · Maths · Inverse Trigonometric Functions
The value of \(\tan ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2}\right)+\sin ^{-1}\left(-\frac{1}{2}\right)\) is
- A \(\frac{5 \pi}{6}\)
- B \(\frac{\pi}{2}\)
- C \(\frac{2 \pi}{3}\)
- D \(\frac{3 \pi}{4}\)
Answer & Solution
Correct Answer
(D) \(\frac{3 \pi}{4}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \tan ^{-1}(1)+\cos ^{-1}\left(\frac{-1}{2}\right)+\sin ^{-1}\left(\frac{-1}{2}\right) \\ & =\frac{\pi}{4}+\frac{2 \pi}{3}-\frac{\pi}{6} \\ & =\frac{3 \pi}{4}\end{aligned}\)
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