If sin theta +cos theta =a then sin^3 theta +cos^3 theta=?

Answers (1)

Solution: We have ,    sin 	heta +cos 	heta =a

          Rightarrow           sin^3	heta+cos^3	heta=(sin 	heta+cos	heta)(sin^2	heta+cos^2	heta-sin	heta cos	heta)

                       sin^3	heta+cos^3	heta=a(1-cos	hetasin	heta)=a[1-fraca^2-12]=fraca2(3-a^2)

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