Find the exact values of sin 2𝜃, cos 2𝜃, and tan 2𝜃 for the given value of 𝜃.

Question

cot 𝜃 = 4/3 ; 180° < 𝜃 < 270°

sin 2𝜃=

cos2𝜃 =

tan2𝜃 =

Answer 1

You should remember that sin 2x = 2 sin x co x and cos 2x = cos²x - sin²x.

And tan 2x = (sin 2x)/(cos 2x) or (2 tan x)/(1-tan²x)