Someone Plz Help Me!! IDK How To Do This. Will Mark Brainliest and give thanks Just plz help me. Prove each Trigonometric Identity

1. cot x sec⁴x = cot x +2 tan x + tan³x

2. (sin x)(tan x cos x - cot x cos x)= 1 - 2 cos²x

3. 1 + sec²x sin²x=sec²x

4. sin x/1 - cos x + sin x/ 1 + cos x = 2 csc x

5. - tan²x + sec²x = 1

The american colonies would have been ruled by a king.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.