First off I want to wish everyone a HAPPY HALLOWEEN!!!!! This week in advanced math we did not learn anything new. We reviewed chapter 10 on Monday and Tuesday, took a chapter test on Wednesday and Thursday and had a sub Thursday and Friday. Our chapter test was on sections 1-4. All for sections had to do with memorizing formulas. If you did not use a formula for every problem on the test you did it wrong. Section 1 was the easiest section of the 4 because you just had to memorize 2formulas. Here are the sine and cosine formulas:
Sin (α +/- β) = (sin α) (cos β) +/- (cos α) (sin β)
Cos (α +/- β) = (cos α) (cos β) -/+ (sin α) (sin β)
Let’s try an example:
Find the exact value of sin 75°
1. Sin (45° + 30°) = (sin 45°) (cos 30°) + (cos 45°) (sin 30°)
2. (square root 2/2) (square root3/2) + (square root 2/2) (½)
3. (square root 6/4) + (square root 2/4)
4. square root 6 + square root 2/ 4
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