InterviewSolution
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InterviewSolution
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Solve the equation `4cos^(2)theta+sqrt(3)=2(sqrt(3)+1)costheta`. |
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Answer» `4cos^(2)theta+sqrt(3)=2(sqrt(3)+1)costheta` `rArr 4cos^(2)theta+sqrt(3)=2sqrt(3)costheta+2costheta` `rArr 4cos^(2)theta-2costheta-2sqrt(3)costheta-2sqrt(3)costheta+sqrt(3)=0` `rArr 2costheta(2costheta-1)-sqrt(3)(2costheta-1)=0` `rArr (2costheta-1)(2costheta-sqrt(3))=0` Now `2costheta-1=0` `rArr costheta=1/2=cospi/3` `rArr theta=2npi+-pi/3`. Ans. and `2costheta-sqrt(3)=0` `rArr costheta=sqrt(3)/2=cospi/6` `rArr theta=2npi+-pi/6`. |
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