Q. 55.0( 2 Votes )

Find , when

𝒳 = a(1 – cos θ), 𝒴 = a(θ + sin θ)

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.


=


= a× (1+cosθ ) ………..(1)



= asinθ. …………….(2)


Dividing (1) and (2), we get


=


= .


= ( 1+cosθ=2cos2θ/2 and sinθ = 2sin(θ/2)cos(θ/2))


= cot(θ/2)


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