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Prove 1+sintita-costita whole square/1+sintita +xostita whole square=1-costita/ 1+costita

Prove 1+sintita-costita whole square/1+sintita +xostita whole square=1-costita/ 1+costita

Grade:11

1 Answers

poojitha
42 Points
4 years ago
(1+sintheta-costheta)2/(1+sintheta+costheta)=[1+sin2theta+2sintheta+cos2theta-2costheta(1+sintheta)]/[1+sin2theta+cos2theta+2sintheta+2costheta(1+sintheta)]=[2(1+sintheta)-2costheta(1+sintheta)]/[2(1+sintheta)+2costheta(1+sintheta)]=[2(1+sintheta)(1-costheta)]/[2(1+sintheta)(1+costheta)]= (1-costheta)/(1+costheta)

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