જો alpha beta gamma 0 હોય,તો પદાવલિ cot | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) ધારો કે આપેલ પદાવલિ $S = \cot ^{-1}\left\{\beta+\frac{1+\beta^2}{\alpha-\beta}\right\}+\cot ^{-1}\left\{\gamma+\frac{1+\gamma^2}{\beta-\gamma}\rig

Vedclass · Accepted Answer

$\pi$

Vedclass · Answer

(D) ધારો કે આપેલ પદાવલિ $S = \cot ^{-1}\left\{\beta+\frac{1+\beta^2}{\alpha-\beta}ight\}+\cot ^{-1}\left\{\gamma+\frac{1+\gamma^2}{\beta-\gamma}ight\}+\cot ^{-1}\left\{\alpha+\frac{1+\alpha^2}{\gamma-\alpha}ight\}$ છે.$\cot^{-1}(x) = 	an^{-1}(1/x)$ નો ઉપયોગ કરતા:$S = 	an^{-1}\left(\frac{\alpha-\beta}{1+\alpha\beta}ight) + 	an^{-1}\left(\frac{\beta-\gamma}{1+\beta\gamma}ight) + 	an^{-1}\left(\frac{\gamma-\alpha}{1+\gamma\alpha}ight)$.$	an^{-1}(x) - 	an^{-1}(y) = 	an^{-1}\left(\frac{x-y}{1+xy}ight)$ સૂત્ર મુજબ:$S = (	an^{-1}\alpha - 	an^{-1}\beta) + (	an^{-1}\beta - 	an^{-1}\gamma) + (	an^{-1}\gamma - 	an^{-1}\alpha + \pi) = \pi$.

Similar Questions

$\sin^{-1} \frac{1}{\sqrt{5}} + \cot^{-1} 3$ ની કિંમત શોધો.

જો $x>0, y>0, z>0, xy+yz+zx < 1$ અને જો $\tan^{-1} x + \tan^{-1} y + \tan^{-1} z = \pi$ હોય, તો $x+y+z$ ની કિંમત શું થાય?

$\cos ^{-1}\left(\frac{-1}{2}\right)-2 \sin ^{-1}\left(\frac{1}{2}\right)+3 \cos ^{-1}\left(\frac{-1}{\sqrt{2}}\right)-4 \tan ^{-1}(-1)$ ની કિંમત શોધો.

કિંમત શોધો: $\cos ^{-1}\left(\frac{4}{5}\right)+\cos ^{-1}\left(\frac{12}{13}\right)$

સમીકરણ $\sin^{-1} x = 2\tan^{-1} x$ નો ઉકેલ ગણ શોધો.

Vedclass Test Series

Exam Paper Generator

Online Exam Module