I) `x in Q and cosx+cos3x=cos2x` then `x=` II) `x in (0,2 pi) and cosec x+2=0` then `x=(7pi)/6,(11pi)/6` III) `x in[0,2 pi] and (2 cosx-1)(3+2 cosx)=0` then `x=pi/3, (5pi)/3` Which of the above statements is correct ?

Statement-I: x inQ_(1) and cosx+cos3x=cos2x then x=30^(@)or45^(@) Statement-II: x in(0,2pi) and Cosecx+2=0 then x=(7pi)/(6),(11pi)/(6) Statement-III: x in[0,2pi] and (2cosx-1)(3+2cosx)=0 then x=(pi)/(3),(5pi)/(3) wich of the above statements is correct?

cos2x - 5 cosx +3 =0 (0 lt x lt 2pi)

Solve |sinx +cos x |=|sinx|+|cosx|, x in [0,2pi] .

Solve |sinx +cos x |=|sinx|+|cosx|, x in [0,2pi] .

Solve |sinx +cos x |=|sinx|+|cosx|, x in [0,2pi] .

int_(pi//4) ^(3pi//4) dx/((sin x - 2 cosx)(2sin x + cos x))=

Statement - I : Period of cos^(3) x + cos^(3) (120^(0) - x) + cos^(3) (120^(0) + x ) is (pi)/(3) Statement -II : Period of cos((2pi x)/ 3 ) + sin((pix)/2) - tan ((pi x )/ 4) is 12 Which of the above statement is correct.

int_(0)^((pi)/2)(cos2x)/(cosx+sinx)dx=