Q. 213.7( 3 Votes )

If 𝒳 = a (θ – sin θ), 𝒴 = a( 1+cos θ), find .

Answer :

here we have to find the double derivative, so to find double derivative we will just differentiate the first derivative once again with a similar method.

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.


=


………..(1)



= a(1-cosθ ) ……….(2)


Dividing (1) and (2), we get


=


=


= -cot (θ/2)


To find f’’ we will differentiate f’ with θ and then divide with equation (2).


=


=


=


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