100. Let 2 = /600 x + y tan x) &

Let y = tan^(-1) (sec x + tan x) . Then , (dy)/(dx) is equal to

(sec x sec y + tan x tan y) ^ (2) - (sec x tan y + tan x sec y) ^ (2) = 1 Prove it

Show that tan (x - y)+ tan (y - z) + tan (z- x) = tan (x - y) tan (y - z) tan (z- x)

Let f (x) = 7 tan ^(8) x + 7 tan ^(6) x - 3 tan ^(4) x - 3 tan ^(2) x for all x in (-(pi)/(2), (pi)/(2)). Then the correct expression(s) is (are).

Prove that (sin (x +y) )/( sin (x-y)) = (tan x + tan y)/( tan x - tan y).

Prove that (sin (x +y) )/( sin (x-y)) = (tan x + tan y)/( tan x - tan y).

Prove that (sin (x +y) )/( sin (x-y)) = (tan x + tan y)/( tan x - tan y).

Prove that (sin (x +y) )/( sin (x-y)) = (tan x + tan y)/( tan x - tan y).