8-5

8-5
This section was probably the hardest thing we’ve learned all year, at least that’s what I think. In 8-5 we use identities to get to the same trig function.
Things you can’t do to solve:
1. Divide by a trig function when solving to cancel.
2. Cancel from the inside of a trig function.

EXAMPLE 1: 2 sin^2 theta -1 = 0
A). We can tell by the sin^2 that we are going to have to take an inverse to solve this problem.
B). First, move the 1 to the right. Then divide by just the 2 from the left and right.
C). Now, take the square root of the left and right sides – square root sin^2 theta = square root ½
D). sin theta = +/- square root ½
E). According to our trig chart, ½ is 45 degrees. Since it is a square root, find all the coordinates.
F). sin theta = 45 degrees, 135 degrees, 225 degrees, 315 degrees

Hope everyone is having a fun, relaxing holiday! Doing these blogs only reminds me that we go back to school MONDAY, oh joy..