(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] trig inequality

1. The problem statement, all variables and given/known data

Use the graph of y = sin x to show the following. Given a triangle ABC,

[tex]\frac{\sin B + \sin C}{2}\leq \sin \frac{B+C}{2}[/tex].

2. Relevant equations

3. The attempt at a solution

Does anyone else think this question is weird? B < 180 - C so shouldn't their be a strict inequality? I am really not sure how to use the graphs. Should I replace B with 180 - C and try to derive some new inequalities? Can I use that inequality that argument of the sine to get an inequality with the sine itself?

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# Homework Help: Trig inequality

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