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What is the value of \(tan^{-1}\left(-3\right)+\cot^{-1}\left(-3\right)\)?\(tan^{-1}\left(-3\right)+\cot^{-1}\left(-3\right)\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{\pi}{2}\)\(\frac{\pi}{2}\)
The identity \(\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}\) holds. For negative \(x\), the principal value of \(\cot^{-1}x\) is still taken in \(\left(0,\pi\right)\).\(\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}\) होता है। ऋणात्मक \(x\) में भी \(\cot^{-1}x\) का मुख्य मान \(\left(0,\pi\right)\) में लिया जाता है।
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