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[" 25.If "theta" lies in the first quadr...

[" 25.If "theta" lies in the first quadrant and "cos theta=(8)/(17)" ,then prove that: "],[cos((pi)/(6)+theta)+cos((pi)/(4)-theta)+cos((2 pi)/(3)-theta)=((sqrt(3)-1)/(2)+(1)/(sqrt(2)))(23)/(17)]

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If theta lies in the first quadrant and costheta=8/(17) , then prove that cos(pi/6+theta)+cos(pi/4-theta)+cos((2pi)/3-theta)=((sqrt(3)-1)/2+1/(sqrt(2)))(23)/(17)

If theta lies in the 1st quadrant and costheta=8/(17) then prove that cos(pi/6+theta)+cos(pi/4-theta)+cos((2pi)/3-theta)=((sqrt(3)-1)/(2)+1/sqrt2) cdot(23)/17 .

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