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GUJCET · Maths · Inverse Trigonometric Functions
\(\tan ^{-1}(\cot x)+\cot ^{-1}(\tan x)=\) ____________
- A 0
- B \(\frac{\pi}{2}\)
- C \(2 x\)
- D \(\pi-2 x\)
Answer & Solution
Correct Answer
(D) \(\pi-2 x\)
Step-by-step Solution
Detailed explanation
\(\tan ^{-1}(\cot x)+\cot ^{-1}(\tan x)\) \(=\tan ^{-1}(\tan(\frac{\pi}{2}-x))+\cot ^{-1}(\cot(\frac{\pi}{2}-x))\)
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