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Trigonometry> prove ; sin 0 (1+tan 0 )+cos 0 (1+cot 0 )...

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prove ; sin0(1+tan0)+cos0(1+cot0)=sec0+cosec0

kaushik kashyap , 11 Years ago

Grade 10

1 Answers

Jitender Singh

Last Activity: 11 Years ago

Ans:

$sin\theta (1+tan\theta ) + cos\theta (1+cot\theta ) = sec\theta +cosec\theta$

$sin\theta (1+tan\theta ) + cos\theta (1+cot\theta ) = sin\theta (1+tan\theta ) + \frac{cos^{2}\theta}{sin\theta } (1+tan\theta )$ $(1+tan\theta )(\frac{cos^{2}\theta +sin^{2}\theta }{sin\theta }) = \frac{1+tan\theta }{sin\theta } = sec\theta+cosec\theta$

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Jitender Singh

IIT Delhi

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