.Please teach me and show me how to prove these five.

Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side of the equation. 1. cot x sec#x = cot x + 2 tan x + tan*x 2. (sin x)(tan x cos x - cot x cos x) = 1 - 2 cos-x 3. 1 + sec2x sin2x = sec2x 4. sin x + sin x = 2 csc x 1-COS X 1+ Cos x 5. - tan x + sec2x = 1Part 1 - Application Find your own values that prove that tan(u-v) # tan u - tan v. Show your work and explain why you chose these values. Part 2 - Find the error(s) and solve the problem correctly. Explain your corrections. Solve: 2cos x = 4 cos x sin x Answer: 2cos x = 4 cos x sin x 2cos x = 4 cos xsin x (2 cos x in common onboth sides) 1 = sin x The only place sin x = 1 is where the angle is ?. x = 2 Part 3 - Discussion Question Is it possible to factor 1 - sin x two different ways? If so, show and explain. If not, why not