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Find the value of `cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))` |
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Answer» LHS`cos^(-1)x+cos^(-1){x/2+(sqrt3-3x^2)/2}` `theta=cos^(-1)x` `x=costheta` `sintheta=sqrt(1-x^2)` `cos^(-1)x+cos^(-1){cos(pi/3-theta)}` `=cos^(-1)x+pi/3-theta` `=cos^(-1)x+pi/3-cos^(-1)x` `=pi/3=RHS`. |
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