7*(sin x)/(sin(x-a))

underset(x to 0)lim ((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))=

int(cos x-sin x)/(7-9sin2x)dx

underset(x to 0)"Lt" (sin 7x-sin 5x+sin 3x-sin x)/(sin 6x-sin 4x+sin 2x)=

int((sec^(2)x-7))/(sin^(7)x)dx is equal to (i) (tan x)/(sin^(7)x)+C (ii) (cos x)/(sin^(7)x)+C( iii) (sin x)/(cos^(7)x)+C( iv )(sin x)/(tan^(7)x)+C

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)

sin7x=sin3x

(( sin 7x + sin 5x)+(sin 9x + sin 3x))/((cos 7x + cos 5x)+(cos 9x+ cos 3x)) =tan 6x

Prove that : ([sin(7x)+sin(5x)]+[sin(9x)+sin(3x)])/([cos(7x)+cos(5x)]+[cos(9x)+cos(3x)])=tan(6x)

underset(x to 0)"Lt" (x tan 7x)/(sin 3x sin 4x)=