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If siny=xsin(a+y), then dy/dx=?

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Solution:  We have ,sin y=xsin (a+y)

                       x=fracsin ysin (a+y)

                    Differentiate w.r.to y  , we get 

                  fracmathrmd xmathrmd y=fracsin (a+y)cdot cos y-sin ycdot cos (a+y)sin^2 (a+y)=fracsin asin ^2(a+y)

      Hence ,                fracmathrmd ymathrmd x=fracsin^2(a+y)sin a.

                  

 

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Deependra Verma

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