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

Assertion (A) : sin^(-1)(sin""(2pi)/(3))=(2pi)/(3) Reason (R ) : sin^(-1)(sintheta)=theta , if thetain[(-pi)/(2),(pi)/(2)]

lim_(n rarr oo)n sin\ (2 pi)/(3n)*cos\ (2 pi)/(3n)

Evaluate the following: (cos(2 pi))/(3)(cos pi)/(4)-(sin(2 pi))/(3)(sin pi)/(4)

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)

The principal value of sin^(-1)(sin((2 pi)/(3))) is (a)-(2 pi)/(3) (b) (2 pi)/(3) (c) (4 pi)/(3) (d) (5 pi)/(3) (e) none of these

sin((13pi)/3)sin((8pi)/3)+cos((2pi)/3)sin((5pi)/6)=1/2

cos((2pi)/3)-sin((2pi)/3)=?

sin ^ (3) ((2 pi) / (3) + alpha) = (1) / (4) (3sin ((2 pi) / (3) + alpha) -sin (2 pi + 3 alpha)