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. The easiest section was 10.1 because you just have to know two formulas and you just have to plug it in. You also needed to know you trig chart.
The formulas for section 10-1 are:
Sin (α +/- β) = (sin α) (cos β) +/- (cos α) (sin β)
Cos (α +/- β) = (cos α) (cos β) -/+ (sin α) (sin β)
Find the exact value of sin 15degrees
Alpha=45 degrees
Beta= 30 degrees
Sin (45degrees-30degrees) = (sin 45degrees) (cos 30degrees)-(cos45degrees) (sin 30 degrees)
(Square root of 2 over 2)(Square root of 3 over 2) – (Square root of 2 over 2) (1/2)
Square root of 6 over 4 –square root of 2 over 4= square root of 6- square root of 2 over 4.
Your answer is Sin 15degrees= square root of 6-square root of 2 over 4.
Because it isn’t on trig chart u leave it at that if it was then you can simplify it.
You see how simple this section is.
Remember know your formulas and know your trig chart. You basically need to master your trig chart and know it in order to do some problems because some stuff are plug from trig chart like sin 45 for example is square root of 2 over 2. NO calculators !!!
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