[" 1.If "sin x=(sqrt(5))/(3)" and "(pi)/(2)

If sin x=(sqrt(5))/(3) and (pi)/(2)

If sin x=(sqrt(5))/(3) "and " .(pi)/(3) lt x lt pi find the values of (i) " sin " (x)/(2) " " (ii) " cos " (x)/(2) " " (iii) " tan " (x)/(2)

sin ^(-1)sqrt(3)x+sin ^(-1)x=(pi)/(2)

5sin^(2)x+sqrt(3)sin x cos x+6cos^(2)x=5 if (A)tan x=-(1)/(sqrt(3))(C)x=n pi+(pi)/(2),n in I(B)sin x=0(D)x=n pi+(pi)/(6),n in I

Solve |sin3x+sin x|+|sin3x-sin x|=sqrt(3),-(pi)/(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))

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))

If sin x=(3)/(5) and tan y=(1)/(2) and if (pi)/(2)