Sine & Cosine of a Sum: Discovery

[color=#000000]There are 8 expressions shown off to the right.  [/color]Your job is to carefully drag each expression (label) next to the segment (in the figure) whose length is given by this expression.  [br][br]After doing so, please answer the 2 questions that follow.
Given what you see in your diagram, write an equivalent expression for [math]\sin\left(\alpha+\beta\right)[/math].
Given what you see in your diagram, write an equivalent expression for [math]\cos\left(\alpha+\beta\right)[/math].
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Information: Sine & Cosine of a Sum: Discovery