Find `sin(x/2), cos(x/2)` and `tan(x/2)` in each of the following if `cosx=-1/3`

Find sin((x)/(2)),cos((x)/(2)) and tan((x)/(2)) in each of the following if cos x=-(1)/(3)

Find sin(x)/(2),cos(x)/(2) and tan(x)/(2) of the following :sinquad x=(1)/(4), x in quadrant II.

Find sin x/2 ,cos x/2 and tan x/2 of the following : cotx=-1/3 , x in quadrant III

Find sin x/2 ,cos x/2 and tan x/2 of the following : tanx=-4/3,""x in quadrant II

Let P(x)=cot^(2)x ((1+tanx+tan^(2)x)/(1+cot x+ cot^(2)x))+((cos x-cos 3x+sin3x-sin x)/(2(sin 2x+cos2x)))^(2) . Then, which of the following is (are) correct ?

Find the domain the range of each of the following function: f(x)=sin^(2)(x^(3))+cos^(2)(x^(3))

Find sin 2x + cos 4x if tan 2x. Tan 4x = 1

(sin2x)/(1+cos2x)=tan x

Find the general solutions of each of the following equations : (1) cos 3x =cos 2x (2) cos3x=sin2x .

Find the general solution of each of the following differential equations: (cosx)(dy)/(dx)+cos2x = cos 3x