" (iv) "cos x+cos((2 pi)/(3)+x)+cos((2 pi)/(3)-x)=0

Find the extreme values of the following function over R. (i) sin^(2) (60^(0) + x) + sin^(2) (60^(0) - x) (ii) cos (x+ (Pi)/(3) ) + 2sqrt(2) sin (x+ (pi)/(3))-3 (iii) 3 sin^(2) x+ 5 cos^(2) x (iv) cos 2 x+ cos^(2) x (v ) cos x cos ((2pi)/(3) + x) cos ((2pi)/(3)-x)

Prove that cos x+cos((2 pi)/(3)-x)+cos((2 pi)/(3)+x)=0

The extreme values of cos x cos((2pi)/(3)+x)cos((2pi)/(3)-x) is

Prove that (i) "cos " ((pi)/(3) +x) =(1)/(2) ( " cos " x - sqrt(3) sin x) (ii) " sin " ((pi)/(4) + x) + " sin " ((pi)/(4)-x) =sqrt(2) " cos " x (iii) (1)/(sqrt(2)) " cos ((pi)/(4) + x) = (1)/(2) " (cos x - sin x) " (iv) " cos x + cos " ((2pi)/(3) +x) + " cos " ((2pi)/(3)-x) =0

The sum of the solutions in (0, 2pi) of the equation cos x cos ((pi)/(3)-x)cos((pi)/(3)+x)=(1)/(4) is

The maximum and minimum values of [4 cos x^(2)cos ((pi)/(3)+ x^(2))cos ((pi)/(3)-x^(2))] respectively are-

The extreme values of 4cos(x^(2)).cos((pi)/(3)+x^(2)).cos((pi)/(3)-x^(2)) are

The range of cos^(2)(2(pi)/(3)-x)+cos^(2)(2(pi)/(3)+x) is

cos((3pi)/4+x)-cos((3pi)/4-x)=