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What is the principal value of \(\tan^{-1}(\tan\frac{3\pi}{4})\)?\(\tan^{-1}(\tan\frac{3\pi}{4})\) का मुख्य मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(-\frac{\pi}{4}\)\(-\frac{\pi}{4}\)
Since \(\tan\frac{3\pi}{4}=-1), (\tan^{-1}(-1)=-\frac{\pi}{4}\). The answer must lie in \(\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\).\(\tan\frac{3\pi}{4}=-1\) और \(\tan^{-1}(-1)=-\frac{\pi}{4}\)। उत्तर \(\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\) में होना चाहिए।
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