# Sines

In ▵ ABC, if sin(α)=0.5 and sin(β)=0.6 calculate sin(γ)

Correct result:

sin(γ) =  0.92

#### Solution:

$\mathrm{sin}\left(\gamma \right)=\mathrm{sin}\left(\pi -\mathrm{arcsin}\left(0.5\right)-\mathrm{arcsin}\left(0.6\right)\right)=0.92$

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