(sqrt(3))/(2)sin x-cos x=cos^(2)x

5sin^(2)x+sqrt(3)sin x cos x+6cos^(2)x=5 if

5sin^(2)x+sqrt(3)sin x cos x+6cos^(2)x=5 if

lim_(x rarr sqrt(pi))(sin x^(2)-cos((3x^(2))/(2)))/(cos((x^(2))/(2))-sin(2x^(2))cos^(2)(x^(2))) is equal

If I=int(sqrt(cot x)-sqrt(tan x))dx, then I equal sqrt(2)log(sqrt(tan x)-sqrt(cot x))+Csqrt(2)log|sin x|cos x+sqrt(sin2x)|+Csqrt(2)log|sin x-cos x+sqrt(2)sin x cos x|+sqrt(2)log|sin(x+(pi)/(4))+sqrt(2)sin x cos x|+C

f(x)=sqrt(sin(cos x))+ln(-2cos^(2)x+3cos x+1)+e^(cos^(-1))((2sin x+1)/(2sqrt(2sin x)))

Let P(x)=sqrt((cos x+cos2x+cos3x)^(2)+(sin x+sin2x+sin3x)^(2)) then P(x) is equal to

int(2sin x)/((3+sin2x))dx is equal to (1)/(2)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+c(1)/(2)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(2sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+c(1)/(4)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+cnone of these

2{(sqrt(3)+2)sin x+2cos x} lies in the

The number of values of x in (0, pi) satisfying the equation (sqrt(3) "sin" x + "cos" x) ^(sqrt(sqrt(3)"sin" 2x -"cos" 2x+ 2)) = 4 , is