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Question

If the rate of change of sine and tangent of the same angle are equal then the angle is

A
π
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B
nπ
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C
2nπ
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D
(2n+1)π
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Solution

The correct option is D 2nπ
ddtsint=ddt(tant)

cost=sec2t

cos3t=1

cost=1

t=2nπ

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