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The length of the normal at point t of the curve x = a(t + sint), y = a(1 - cost), is

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The length of the normal at point t of the curve x = a(t + sint), y = a(1 - cost), is

(A) asint

(B) 2asin3(t/2)sec(t/2)

(C) 2asin(t/2)tan(t/2)

(D) 2asin(t/2)

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Answer is (C) 2asin(t/2)tan(t/2)

We have

The length of the normal is

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