AP EAMCET · Maths · Inverse Trigonometric Functions
\(\tan ^{-1} 2+\cot ^{-1}(-3)+\cot ^{-1} \frac{1}{3}+\tan ^{-1}\left(-\frac{1}{2}\right)=\)
- A \(-\frac{3 \pi}{2}\)
- B \(\frac{\pi}{2}\)
- C \(-\frac{\pi}{2}\)
- D \(\frac{3 \pi}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{3 \pi}{2}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \tan ^{-1} 2+\cot ^{-1}(-3)+\cot ^{-1}\left(\frac{1}{3}\right)+\tan ^{-1}\left(-\frac{1}{2}\right) \\ & =\tan ^{-1}(2)-\tan ^{-1}\left(\frac{1}{2}\right)+\pi-\cot ^{-1}(3)+\cot ^{-1}\left(\frac{1}{3}\right) \\ & =\tan ^{-1}(2)-\tan…
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