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[(sin theta+sin2 theta)/(1+cos theta+cos...

[(sin theta+sin2 theta)/(1+cos theta+cos2 theta)" equals "],[[" (a) "(1)/(2)tan theta," (b) "(1)/(2)cot theta," (c) "tan theta," (d) "cot theta]]

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(sin2 theta)/(1-cos2 theta)

(sin theta+sin2 theta)/(1+cos theta+cos2 theta)=tan theta

(sin theta+sin2 theta)/(1+cos theta+cos2 theta)=tan theta

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

(1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

(1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

((sin theta+cos theta)^(2)-1)/(sin theta*cos theta)

sin theta+sin2 theta+sin3 theta=1+cos theta+cos2 theta

cos theta+sin theta=cos2 theta+sin2 theta

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