(pi)/(f)(sqrt(sin n))/(d2ln+sqrt(cos)lambda)d

Evaluate int_(pi/6)^(pi/3) sqrt(sin x)/(sqrt(sin x)+sqrt(cos x)) d x

" The value of the integral "int_(0)^( pi/2)(12sqrt(cos theta))/((sqrt(cos theta)+sqrt(sin theta))^(5))d theta" equals "...

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))

int _(0)^(pi//2) (2sqrt(cos theta))/(3(sqrt(sin theta )+ sqrt(cos theta ))) d theta is equal to

The value of int_0^(pi//2)(sqrt(cosx))/(sqrt(cos x)+sqrt(sin x))dx is pi//2 b. pi//4 c. 0 d. none of these

(d)/(dx)(ln sin sqrt(x))=

The greatest value of the function f(x)=(sin2x)/(sin(x+(pi)/(4))) on the interval (0,(pi)/(2)) is (1)/(sqrt(2))(b)sqrt(2)(c)1(d)-sqrt(2)

In each of the following cases find the period of the function if it is periodic. (i) f(x)="sin"(pi x)/(sqrt(2))+"cos"(pi x)/(sqrt(3)) " (ii) " f(x)="sin"(pi x)/(sqrt(3))+"cos"(pi x)/(2sqrt(3))

In each of the following cases find the period of the function if it is periodic. (i) f(x)="sin"(pi x)/(sqrt(2))+"cos"(pi x)/(sqrt(3)) " (ii) " f(x)="sin"(pi x)/(sqrt(3))+"cos"(pi x)/(2sqrt(3))

In each of the following cases find the period of the function if it is periodic. (i) f(x)="sin"(pi x)/(sqrt(2))+"cos"(pi x)/(sqrt(3)) " (ii) " f(x)="sin"(pi x)/(sqrt(3))+"cos"(pi x)/(2sqrt(3))