Q26 of 43 Page 5

If prove that  (CBSE 2011)

Given


On differentiating y with respect to x, we get




We know


[using chain rule]



We know


[using chain rule]





Recall that (quotient rule)




We know and derivative of a constant is 0.








(∵ sec2θ – tan2θ = 1)




But, cos2θ + sin2θ = 1 and cos2θ – sin2θ = cos(2θ).




Thus,

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