If `cos3theta=cos3alpha,` then the value of `sintheta` can be given by `+-sinalpha` (b) `sin(pi/3+-alpha)` `sin((2pi)/3+alpha)` (d) `sin((2pi)/3-alpha)`

If sin theta = 3 sin ( theta + 2 alpha) , then the value of tan (theta + alpha ) + 2 tan alpha is

sin 3 alpha = 4 sin alpha sin(x + alpha) sin(x-alpha)

If cosbeta is the geometric mean between sinalphaa n dcosalpha, where 0ltalpha,betaltpi/ 2, then cos2beta is equal to(a) -2sin^2(pi/ 4-alpha) (b) -2cos^2(pi/ 4+alpha) (c) -2sin^2(pi/4+alpha) (d) 2cos^2(pi/ 4-alpha)

If sin(x +3alpha)=3 sin (alpha-x) , then

The value of (sin(pi-alpha))/(sin alpha-cos alpha tan.(alpha)/(2))-cos alpha is

Find the values of tan (alpha + beta) , given that cot alpha = (1)/(2) alpha in (pi, (3pi)/(2)) and sec beta = - (5)/(3), beta in ((pi)/(2),pi) .

If "cot"(alpha+beta)=0, then "sin"(alpha+2beta) can be (a) -sinalpha (b) sinbeta (c) cosalpha (d) cosbeta

The expression 3[sin^4(3/2pi-alpha)+sin^4(3pi+alpha)]-2[sin^6(1/2pi+alpha)+sin^6(5pi-alpha)] is equal to