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" sinvility: "cos^(2)A+cos^(2)(A+T/3)+co...

" sinvility: "cos^(2)A+cos^(2)(A+T/3)+cos^(2)(A-pi/3)

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Prove that : cos^(2)A+cos^(2)(A+pi/3)+cos^(2)(A-pi/3) = 3/2

Prove that, cos^(2) A + cos^(2) (A + pi/3) + cos^(2) (A - pi/3) = 3/2

Prove that : cos^(2)A+cos^(2)(A+pi/3)+cos^(2)(A-pi/3) =1/2[2cos^(2)A+2cos^(2)(A+60^(@))+2cos^(2)(A-60^(@))] =1/2[1+cos2A+1+cos(2A+120^(@))+1+cos(2A-120^(@))] 1/2[3+cos2A+cos(2A+120^(@))+cos(2A-120^(@))] 1/2[3+cos2A+2cos(2A+120^(@)+2A-120^(@))/(2).cos(2A+120^(@)-2A+120^(@))/(2)] =1/2[3+cos2A+2cos2Acos120^(@)] =1/2[3cos2A+2cos2Acos(90^(@)+30^(@))] =1/2[3+cos2A-2.cos2A.(1/2)] =1/2(3+cos2A-cos2A) =3/2 = RHS Hence Proved.

Prove that: cos^(2)A+cos^(2)(A+(2 pi)/(3))+cos^(2)(A-(2 pi)/(3))=(3)/(2)

Prove that: cos^(2)A+cos^(2)(A+(pi)/(3))+cos^(2)(A-(pi)/(3))=(3)/(2)

Prove that: cos^2A+cos^2(A+pi/3)+cos^2(A-pi/3)=3/2

Prove that: cos^2A+cos^2(A+pi/3)+cos^2(A-pi/3)=3/2

Prove that : cos^(2)x+cos^(2)(x+(pi)/(3))+cos^(2)(x-(pi)/(3))=(3)/(2)

Prove that cos^(2)x+cos^(2)(x+(pi)/(3))+cos^(2)(x-(pi)/(3))=(3)/(2)

Prove that cos^(2)x+cos^(2)(x+(pi)/(3))+cos^(2)(x-(pi)/(3))=(3)/(2)