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  • Differentiate tan^-1 (sin x / 1+cos x) w.r to x

Differentiate tan^-1 (sin x / 1+cos x) w.r to x

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Solution: We have , 

                   y= an^-1(fracsin x1+cos x)

                  y= an^-1(frac2sin fracx2cdot cos fracx21+2cos^2fracx2-1)= an^-1( an fracx2)=fracx2

       Hence ,             fracmathrmd ymathrmd x=frac12.

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Deependra Verma

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