1) Find your own values that prove that tan(u-v) tan u - tan v. Show work and explain why you chose these values.

2) Find the error(s) and solve the problem correctly. Explain your corrections.

Solve: 2cos x = 4 cos x sin ^2x

Answer:

2cos x = 4 cos x sin ^2x

2cos x = 4 cos x sin ^2x (2 cos x is common on both sides)

1 = sin^2x

The only place sin x = 2 is where the angle is pi/2

x= pi/2

3) Is it possible to factor 1 - sin ^2x two different ways? if so, show and explain. If not, why not?