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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