Sine & Cosine of a Sum: Discovery

There are 8 expressions shown off to the right.  Your job is to carefully drag each expression (label) next to the segment (in the figure) whose length is given by this expression.   After doing so, please answer the 2 questions that follow.

Q1:

Given what you see in your diagram, write an equivalent expression for .

Q2:

Given what you see in your diagram, write an equivalent expression for .

(Solution) -- Don't watch until you've completed the exercise above! (BGM: Andy Hunter)