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

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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Prove the following identities: cos theta sin(90o-theta)+sin theta cos(90o-theta)=1sin(sin(90o-theta))/(tan theta)-1=-sin^(2)theta( iii) (sin(90o-theta)cos(90o-theta))/(tan theta)=1-sin^(2)theta

(sin(90-theta)sintheta)/(tantheta)-1 = ………………

Prove that:a. costhetasin(90^@-theta)+sinthetacos(90^@-theta)=1

sin(90+theta)+cos(90-theta)+tan(180-theta)+cot(180+theta)

Prove the following identities: (cos^2theta)/(1-tantheta)+(sin^3theta)/(sintheta-costheta)=1+sinthetacostheta

Prove the following: sin theta sin(90^(@)-theta)-cos theta cos(90^(@)-theta)=0

Prove the following: sin theta sin(90^(@)-theta)-cos theta cos(90^(@)-theta)=0

sin theta cos(90^@ -theta) +cos theta sin(90^@ -theta) = ?

sin theta cos(90^(@)-theta)+cos theta sin(90^(@)-theta)

Simplify: (sin(90-theta)costheta)/(cos(90-theta)sintheta)+1=