review on 8-5

today i am reviewing 8-5 because this week was mostly review. rememebr that the same rules in 8-1 apply to the rules of 8-5 except these problems are harder. also the major rule is that you cannot divide by a trig function to cancel it on both sides in an equation. you must nove it to the other side and factor it out.



EX: 2 tan^2 x = 3 tan x - 1
 first move 3 tan x - 1 to the other side because you cannot divide by a trig function to cancel.
2 tan^2 x - 3 tan x + 1 = 0
factor: 2 tan^2 x - 2 tan x - 1 tan x + 1
group: (2 tan^2 x - 2 tan x) (-1 tan x + 1)
simplify: 2 tan x(tan x - 1)   -1(tan x - 1)
set to zero: 2 tan x - 1 = 0      tan x - 1 = 0
do the simple equation: tan x = 1/2     tan x = 1
inverse: x = inverse of tan (1/2)        x = inverse of tan (1)