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Prove that sqrt((1-costheta)/(1+cos thet...

Prove that `sqrt((1-costheta)/(1+cos theta))=cosectheta-cottheta`.

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`L.H.S.=sqrt((1+sin theta)/(1-sintheta))=sqrt((1+sin theta+sintheta)/(1-sintheta+sintheta))`
`=sqrt(((1+sintheta)^(2))/(1-sin^2theta))=sqrt((1+sintheta)^2)/(cos^2theta)`
`=(1+sintheta)/costheta=1/costheta+sintheta/costheta`
`=sectheta+tantheta=R.H.S.`
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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS -SINGLE CORRECT ANSWER TYPE
  1. Prove that sqrt((1-costheta)/(1+cos theta))=cosectheta-cottheta.

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  3. Find the cartesian co-ordinates of the points whose polar co-ordinates...

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  7. Find the cartesian co-ordinates of the points whose polar co-ordinates...

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  10. If tantheta-cottheta=aandsintheta+costheta=b, then, (b^2-1)^2(a^2+4...

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  13. Find the cartesian co-ordinates of the points whose polar co-ordinates...

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