Question

Prove that 1+cos theta-sin²theta/sin theta(1+sin theta)= cot theta Please answer and I will mark you brainliest

Answer 1

Answer:

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Solving LHS

1+cos theta -sin²theta

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sin theta(1+cos theta)

1+cos theta-(1- cos²theta) (using Identity sin²theta=1- costheta)

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sin theta(1+costheta )

1+costheta - 1+cos² theta

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sin theta(1+costheta)

costheta +cos²theta

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sin theta (1+cos theta)

Taking common value out of bracket

costheta(1+cos theta)

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sin theta(1+costheta)

cos theta ( COSTHETA÷SINTHETA=COTTHETA )

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sin theta

cot theta = cot theta

LHS=RHS

HENCE PROVED

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