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Prove the following identities: (i) co...

Prove the following identities: `(i) costhetasin(90^o-theta)+sinthetacos(90^o-theta)=1` `(ii) (sin(90^o-theta))sintheta/(tantheta)-1=-sin^2theta` `(iii) (sin(90^o-theta)cos(90^o-theta))/(tantheta)=1-sin^2theta`

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