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What is the value of \(\tan^{-1}(-1)\) in the principal branch?मुख्य मान शाखा में \(\tan^{-1}(-1)\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(-\frac{\pi}{4}\)\(-\frac{\pi}{4}\)
The range of \(\tan^{-1}x\) is \(\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\) and \(\tan\left(-\frac{\pi}{4}\right)=-1\). Keep the quadrant in mind.\(\tan^{-1}x\) का परिसर \(\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\) है और \(\tan\left(-\frac{\pi}{4}\right)=-1\)। चतुर्थांश का ध्यान रखें।
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