`(sin x)/(sqrt(36-cos^(2)x))`

If tanx=b/a then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))= ........................... A) (2 sin x)/(sqrt(sin2x)) B) (2 cos x)/(sqrt(cos2x)) C) (2 cos x)/(sqrt(sin2x)) D) (2 sin x)/(sqrt(cos2x))

If x in(0,(pi)/(2)), thenshowthat(d)/(dx)cos^(-1){(7)/(2)(1+cos2x)+(sqrt(sin^(2)x-48cos^(2)x))sin x}=1+(7sin x)/(sqrt(sin^(2)-48cos^(2)x))

int(cos x-sin x)/(sqrt(sin2x))dx

int(sin^(3)x cos x)/(sqrt(a-sin^(2)x)sqrt(a+sin^(2)x))backslash dx=

The value of int(sin x+cos x)/(sqrt(1-sin2x))dx is equal to sqrt(sin2x)+C(b)sqrt(cos2x)+C(c)+-sin x-cos x)+C(d)+-log(sin x-cos x)+C

int((sin x+cos x)/(sqrt(sin2x))dx

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

Solve the inequality sin2x>sqrt(2)sin^(2)x+(2-sqrt(2))cos^(2)x

If f(x)=|(10(sqrt(cos x)-sqrt(sin x))(sqrt(cos x)+ sqrt(sin x)))/(cos x+ sin x)| then number of natural numbers in the range of f(x) is

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