L.C.M. of `{(pi)/(3),(2 pi)/(3),(pi)/(2),(pi)/(3)}`

(pi)/(4)+(2 pi)/(3)-(pi)/(6)

2*(pi)/(3)+(pi)/(6)=

((pi)/(4))+((2 pi)/(3))-((pi)/(6))

sin((2 pi)/(3)+(2 pi)/(3))

The solution set of the equation 4s int h eta cos theta-2cos theta-2sqrt(3)s int_(h eta)+sqrt(3)=0 in the interval (0,2 pi) is {(3 pi)/(4),(7 pi)/(4)} (b) {(pi)/(3),(5 pi)/(3)}{(3 pi)/(4),pi,(pi)/(3)(5 pi)/(3)}(d){(pi)/(6),(5 pi)/(6),(11 pi)/(6)}

If 4cos^(2)theta=3 then theta =---- 1) (pi)/(6),(5 pi)/(6) 2) (pi)/(4),(3 pi)/(4) 3) (pi)/(3),(2 pi)/(3) 4) +-(pi)/(2)

Given both theta and phi are acute angles and sin theta=(1)/(2),cos varphi=(1)/(3), then the value of theta+varphi belongs to (a)((pi)/(3),(pi)/(2)]( b) ((pi)/(2),(2 pi)/(3)] (c) ((2 pi)/(3),(5 pi)/(6)] (d) ((5 pi)/(6),pi]

The range of f(x)=sec^(-1)(log_(3)tan x+log_(tan x)3) is [(pi)/(3),(pi)/(2)]uu[(pi)/(2),(2 pi)/(3)][0,(pi)/(2)](c)((2 pi)/(3),pi)(d) none of these

The solutions of the equation sin x+2sin2x+sin3x=cos x+3cos2x+cos3x in the interval 0<=x<=2 pi, are (pi)/(8),(5 pi)/(8),(2 pi)/(3)(b)(pi)/(8),(5 pi)/(8),(9 pi)/(8),(13 pi)/(8)(1 pi)/(3),(9 pi)/(3),(2 pi)/(3),(13 pi)/(8) (d) (pi)/(8),(5 pi)/(8),(9 pi)/(3),(4 pi)/(3),(4 pi)/(3),(9 pi)/(3),(2 pi)/(3),(13 pi)/(8)(d)

1+sinx + sin^2(x) + .... = 4+2sqrt3, 0ltxltpi, x!=pi, then x = 1) (pi)/(3), (pi)/(4) 2) (pi)/(4), (pi)/(6) 3) (2 pi)/(5), (pi)/(6) 4) (pi)/(3), (2 pi)/(3)