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Prove that : (i) sinthetacos(90^(@)...

Prove that :
(i) `sinthetacos(90^(@)-theta)+sin(90^(@)-theta)costheta=1`
(ii) `sectheta" cosec"(90^(@)-theta)-tanthetacot(90^(@)-theta)=1`
(iii) `(sintheta*sec(90^(@)-theta)cot(90^(@)-theta))/("cosec"(90^(@)-theta)*costheta*tantheta)-(tan(90^(@)-theta))/(cottheta)=0`
(iv) `(1+sin(90^(@)-theta))/(cos(90^(@)-0))+(cos(90^(@)-theta))/(1+sin(90^(@)-0))=2"cosec"theta`

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