Solving for Sin(π/12): How Do I Get (π/3-π/4)?

[Markg1997]

In then math course I am taking it is giving the example of using compound angle formulas to solve sin(pi/12). The solution in the formula says that it is (pi/3-pi/4). I don't understand how pi/12 is equal to (pi/3-pi/4). What am I missing in this solution?

 

[symbolipoint]

In then math course I am taking it is giving the example of using compound angle formulas to solve sin(pi/12). The solution in the formula says that it is (pi/3-pi/4). I don't understand how pi/12 is equal to (pi/3-pi/4). What am I missing in this solution?

Basic arithmetic for fractions

 

[Markg1997]

Now I feel dumb. Amazing how the simple things elude you. Once i looked at it from a basic perspective instead of trying to over analyze it was plain and simple. Thanks.

 

[symbolipoint]

Now I feel dumb. Amazing how the simple things elude you. Once i looked at it from a basic perspective instead of trying to over analyze it was plain and simple. Thanks.

Exactly what to say and how to say it seemed unapparent. You're dealing with angle sum or difference formulas, and you have fractions. Students are not accustomed to decomposing fractions this way, but really this is still elementary basic arithmetic. You usually want to play with simpler more common fractions to look for how to decompose your fraction factor of pi.