# Trig Help Algebraic Expression

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• Mar 28th 2009, 02:35 PM
adam456006
Trig Help Algebraic Expression
I need help with this trig expression writing it as an algebraic expression:

sin(arcsin x + arcos x)
• Mar 28th 2009, 03:09 PM
mr fantastic
Quote:

Originally Posted by adam456006
I need help with this trig expression writing it as an algebraic expression:

sin(arcsin x + arcos x)

Let $\alpha = \arcsin x \Rightarrow \sin \alpha = x$ and $\beta = \arccos x \Rightarrow \sin \beta = x$ and note that $\sin (\alpha + \beta) = \sin \alpha \cos \beta + \sin \beta \cos \alpha$.