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If √3 sin theta,find the value of. sin theta. Tan theta (1+cot theta)/sin theta +cos theta |
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Answer» Hmmm sin theta=1/√3;sin2theta+cos2theta=1;cos2theta=2/3;cos theta=√2/√3;now,sin theta.tan theta(1+cot theta)/sin theta+cos theta;=1/√3(sin theta/cos theta+sin theta/cos theta*costheta/sin theta)/1/√3+√2/√3;=1/√3(1/√3/√2/√3+1)/1+√2/√3; =1/√3(1/√2+1)/1 /√3(1+√2);=(1+√2/√2)/(1+√2);=1/√2(1+√2)/(1+√2);=1/2 |
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