`2(1-2sin^2 7x)sin 3x` is equal to

lim_(x to pi)(sin 3x)/(sin 2x) is equal to

If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0ltxltpi, then x is equal to

If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0ltxltpi, then x is equal to

If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0ltxltpi, then x is equal to

lim_(xrarr0)((10"sin"9x)/(9"sin"10x))((8"sin"7x)/(7"sin"8x))((6"sin"5x)/(5"sin"6x))((4"sin"3x)/(3"sin"4x))(("sin"x)/("sin"2x)) is equal to a) 63/(256) b) 1/(6) c) 6/(5) d) 1/(2)

lim_(x->0) (1-cos x cos 2x cos 3x)/ (sin^2 2x) is equal to a) 3/4 b) 7/4 c) 7/2 d) -3/4

lim_(x->0) (1-cos x cos 2x cos 3x)/ (sin^2 2x) is equal to a) 3/4 b) 7/4 c) 7/2 d) -3/4

(3 pi)/(2) The value of int_(0)^((3 pi)/(2))(|tan^(-1)tan x|-|sin^(-1)sin x|)/(|tan^(-1)tan x|+|sin^(-1)sin x|)dx is equal to