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Prove that: (i) (costheta)/(1-sinthet...

Prove that:
(i) `(costheta)/(1-sintheta)=(1+sintheta)/(costheta)`
(ii) `(1+costheta-sin^(2)theta)/(sintheta+sinthetacostheta)=cottheta`
(iii) `1+(tan^(2)theta)/(1+sectheta)=sectheta`

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