Q5 of 354 Page 12

Differentiate the following functions with respect to x:


Let x = a sinθ


Now



Using sin2θ + cos2θ = 1




y = tan–1(tanθ)


Considering the limits,


–a < x < a


–a < asin θ < a


–1 < sin θ < 1



Now, y = tan–1(tanθ)


y = θ



Differentiating w.r.t x, we get





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