1. Solve each of the following equations and inequalities. a.3?2 −14?−5≥0 b.log3√?−2=2 c.log6(?+1)−log6(?−4)=1 e.5? =3?+2 f.3^2? −4∙3? +3=0 g.sin? = sin2?, 0≤?≤2? h. sin^2 ? − cos^2 ? = 1 + cos ?, 0 ≤ ? ≤ 2?

2. Simplify each of the following expressions. Be sure that your answers have no parentheses and no negative or fractional exponents. a. 271/3 b. (5z"y') 2 c. (3z° - y *)(6z ®y^)

4 <3 tan( 37x,

Quiz 8 9= 4 when x co y -3y-4y=o Solution

Simplify. tan x sin 2x 2([ ? ]([])? Enter the trig function that belongs in the green box.

3. A trig student was trying to find all solutions to the equation below and realized she has a mistake. Find and correct her mistake. Solution (with an error): sin(30) – = 0 sin(30) = ; Step 1. 2 Step 2. 2 Step 3. 30 = = + 2nk and 30 = + 2tk | 6. 6. Step 4. 0 = =+ 2nk and 0 = + 2tk 18 18 a. What step was the error made in? b. Fix the error and find the correct solution(s) to this equation.