Q. 35.0( 1 Vote )

Find , when

𝒳 = a cos2θ , 𝒴 = b sin2θ

Answer :

Theorem: y and x are given in a different variable that is θ . We can find by finding and and then dividing them to get the required thing.


=


= b× 2sinθ × cosθ (using the chain rule = 2sinθ× = 2sinθ × cosθ )


= 2bsinθcosθ . ………..(1)



= a × (2cosθ)× (-sinθ ) (using chain rule = 2cosθ× = 2 cosθ × (-sinθ ) )


= -2asinθcosθ.


Dividing (1) and (2), we get


=


= .


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