[" If "sin x sin(60^(@)+x)sin(60^(@)-x)=(1)/(8)" then "],[x" equals "],[n pi+(-1)^(n)(pi)/(6)],[n(pi)/(3)+(-1)^(n)(pi)/(18)],[n pi+(-1)^(n)(pi)/(3)],[(n pi)/(-1)+(-1)^(n)(pi)/(4)]

m (1)/(xn) ((1)/(sin (pi x))-((-1)^(n))/(pi (xn))) = ((-1)^(n) pi )/(k), (n in Z)

The general values of theta satisfying the equation 2sin^(2)theta-3sin theta-2=0 is (n in Z).n pi+(-1)^(n)(5)/(6)( b) n pi+(-1)^(n)(pi)/(2)n pi+(-1)^(n)(5 pi)/(6) (d) n pi+(-1)^(n)(7 pi)/(6)

If 4cos x sin x*2sin x = 3sin x, then x = (i) n pi+(-1)^(n) (pi)/(10) (ii) n pi-(-1)^(n) ( pi)/(10) (iii) 2n pi+-(pi)/(10) (iv) n pi+(pi)/(10)

If f (x) = min_ (n pi) {tan x, cot x} that f (x) = 1 when x = (i) (n pi)/(2)+(pi)/(4) (ii) (n pi)+(pi)/(6) (iii) (n pi)+(pi)/(4) (iv) (2n pi)+(pi)/(4)

For n in Z, the general solution of (sqrt(3)-1)sin theta+(sqrt(3)+1)cos theta=2is(n in Z)theta=2n pi+-(pi)/(4)+(pi)/(12)theta=n pi+(-1)^(n)(pi)/(4)+(pi)/(12)theta=2n pi+-(pi)/(4)theta=n pi+(-1)^(n)(pi)/(4)-(pi)/(12)

If sin2x + sin x = 0, then x is (A) n pi + (pi) / (3), 2n pi + (pi) / (6) (B) n pi, n pi + (- 1) ^ (n) ( pi) / (3) (C) n pi, 2n pi + 2 (pi) / (3), 2n pi-2 (pi) / (3) (D) 2n pi, n pi + 2 (pi) / ( 3)

If 4sin^(4)x+cos^(4)x=1, then x is equal to (n in Z)( a)n pi( b ) pi pi+-sin^(-1)sqrt((2)/(5))(c)(2n pi)/(3) (d) 2n pi+-(pi)/(4)

The solutions of the equation 1+(sin x-cos x)sin(pi)/(4)=2cos^(2)(5x)/(2) is/are x=(n pi)/(3)+(pi)/(8),n in Zx=(n pi)/(2)+(5 pi)/(16),n in Zx=(n pi)/(3)+(pi)/(4),n in Zx=(n pi)/(2)+(5 pi)/(8),n in Z

The general value of x satisfying the equation satisfying the equation sqrt(3)s in x+cos x-sqrt(3) is given by x=n pi+(-1)^(n)(pi)/(4)+(pi)/(3),nZbx=n pi+(-1)^(n)(pi)/(3)+(pi)/(6),nZcx=n pi+-(pi)/(6),nZd.x=n pi+-(pi)/(3),nZ