1. anonymous

$\Large x = \pm n(\pi) \ , \ x = \frac{\pi}{4}\pm n(\pi)$

2. DominiRican1013

Thank You so much!

3. anonymous

tan(x)(tan(x) - 1) = 0 tan(x) = 0 or tan(x) - 1 = 0 tan(x) = 0 or tan(x) = 1 Solve tan(x) = 0 to get x = 0. Since we can add on multiples of pi, this means that we get x = ±n(pi) where n is any integer Now solve tan(x) = 1 to get x = pi/4. Now add on multiples of pi to get x=pi/4±n(pi) Note: in both cases, you're either using a calculator or the unit circle Now combine the two solutions to get the final answer$\Large x = \pm n(\pi) \ , \ x = \frac{\pi}{4}\pm n(\pi)$

4. anonymous

np

5. DominiRican1013

Solve on the interval $[0,2\pi):$ $2\cos ^{2}x+3cosx+1=0$