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  • Find the value of <img alt="\tan^{-1} \sqrt{3} -\cot ^{-1}\left ( -\sqrt{3} \right )\cdot" src="https://entrancecorner.codecogs.com/gif.latex?%5Ctan%5E%7B-1%7D%20%5Csqrt%7B3%7D%20-%5Ccot%20%5E%7B-1%7D%5Cleft%20%28%20-%5Csqrt%7B3%7D%20%5Cright%20%29%5Cc

Find the value of \tan^{-1} \sqrt{3} -\cot ^{-1}\left ( -\sqrt{3} \right )\cdot

 

 

 

 
 
 
 
 

Answers (1)

\tan^{-1}\sqrt{3}-\cot ^{-1}\left ( -\sqrt{3} \right )= \tan^{-1}\left ( \tan \frac{\pi }{3} \right )-\cot ^{-1}\left ( \cot \pi -\frac{\pi }{6} \right )
                                                  = \frac{\pi}{3}-\left ( \pi-\frac{\pi}{6} \right )
                                                  = \frac{\pi}{3}-\frac{5\pi}{6}= \frac{2\pi-5\pi}{6}
                                                  = \frac{-3\pi}{6}= \frac{-\pi}{2}

Posted by

Ravindra Pindel

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