Well, for me this week advanced math was pretty wild trying to learn everything for the exam. The one thing we had learned this week, thankfully, was a little bit easier than normal. In 10-1 we are allowed to use no calculators, in that case you must use only formulas and what you know from your head.

10-1 is all about the trig chart, alpha, beta, and the trig chart. Alpha(α) and Beta(β) come form the trig chart and add or subtract to get the angle you are looking for.

Formulas:
cos(alpha +/- beta)= cosαcosβ -/+ sinαsinβ
sin(alpha +/- beta)= sinαcosβ +/- cosαsinβ

When using formulas, to know if to add or subtract you figure out if you are adding alpha and beta or subtracting them to get angle. Which ever one you choose you go by those top symbols. (For example, adding 30 and 15 to get sin45; you would add again because that is the top symbol.

Example:

Find the exact value of sin15degrees

The two trig chart angles 45 & 35 subtract to get fifteen.
Alpha=45 Beta=30
By plugging that into the sin formula you get..
sin(45-30)-sin45cos30-cos45-sin30
Plug into trig chart which gives you..
=(Squaredroot2/2)(Squaredroot3/2)-(Squaredroot2/2)(1/2)
=Squaredroot6/4-Squaredroot2/4=Squaredroot6-2/4
Answer: sin15Squaredroot6-Squaredroot2/4

There are many way you will have problems in this section, you just need to remeber the formulas. Remeber: you always replace your left with right when needed to find the exact value or the formula given.