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Question

Let tany=2t1t2 and sinx=2t1+t2. Then find dydx.

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Solution

Now,
tany=2t1t2 and sinx=2t1+t2
or, y=tan12t1t2 and x=sin12t1+t2
or, y=2tan1t and x=2tan1t
or, y=x.
This gives dydx=1.

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