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(1+sin2 theta+cos2 theta)/(1+sin2 theta-...

(1+sin2 theta+cos2 theta)/(1+sin2 theta-cos2 theta)=

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Prove that: a) (sin2theta)/(1+cos2theta) = tantheta b) (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cottheta