" 15."sin(cos(tan sqrt(x)))

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

If tan A=sqrt(2)-1 show that sin A cos A=(sqrt(2))/(4)

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

Let g(x)=sqrt(sin^(-1)(cos(tan^(-1)x))+cos^(-1)(sin(cot^(-1)x))) ,then int_(-sqrt((pi)/(2)))^(sqrt((pi)/(2)))g(x)dx equals

The value of cos(tan^(-1)sqrt(15))+sin(2tan^(-1)(1/3)) Is (lambda)/(20) where lambda equals

Prove that (i) " 2 cos " 45^(@) " cos " 15^(@)=((sqrt(3)+1))/(2) " "(ii) 2 " sin " 75^(@) " sin " 15^(@)=(1)/(2) (iii) " cos " 15^(@) - " sin " 15 =(1)/(sqrt(2))

Integrate the functions (sqrt(tan x))/(sin x cos x)

Prove that sin(2 tan ^-1 1/3) + cos (tan^-12sqrt2) = 14/15

If (sin A)/(sin B)=(sqrt(3))/(2) and (cos A)/(cos B)=(sqrt(5))/(2) then tan A+tan B is equal to

If int(dx)/(cos^(3)x sqrt(sin2x))=a(tan^(2)x+b)sqrt(tan x)+c