# Thread: Trig Help Algebraic Expression

1. ## Trig Help Algebraic Expression

I need help with this trig expression writing it as an algebraic expression:

sin(arcsin x + arcos x)

2. 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 $\sin (\alpha + \beta) = \sin \alpha \cos \beta + \sin \beta \cos \alpha$.