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Find : int((3sintheta-2)costheta)/(5-co...

Find : `int((3sintheta-2)costheta)/(5-cos^2theta-4sintheta)dthetathetadot`

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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

If 3costheta-4sintheta=2costheta+sintheta , find tantheta .