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" If "sin theta+2cos theta=1" provethat ...

" If "sin theta+2cos theta=1" provethat "2sin theta-cos theta=2quad " INGFRT BXEMPLARI "

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

(sin theta-cos theta)^(2)*(sin theta+cos theta)^(2)=

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

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

2(cos theta+cos2 theta)+(1+2cos theta)sin2 theta=2sin theta

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

(sin theta)/(1+cos theta)+(1+cos theta)/(sin theta)=2cos ec theta

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

(sin3 theta+cos3 theta)/(cos theta-sin theta)=1+2xx sin2 theta

cos theta+sin theta=cos2 theta+sin2 theta