(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

We have two waves with functions:

[tex]E_1 = 6 \ sin (100 \pi t)[/tex]

[tex]E_2 = 8 \ sin (100 \pi t + \frac{\pi}{2})[/tex]

Find [tex]E_1 + E_2[/tex].

2. Relevant equations

[tex]\phi = \frac{2 \pi}{\lambda} \delta = \frac{2 \pi}{\lambda} d sin \theta[/tex]

[tex]\frac{\delta}{\lambda}=\frac{\phi}{2 \pi}[/tex]

3. The attempt at a solution

The answer to this problem should be [tex]10 \ sin (100 \pi t + 0.927)[/tex]

I can't understand how they got the value for the phase constant phi to be 0.927. I can't understand how they got the value using the above equations... because we don't know and can't find many variables in those equations. And I'm not sure how to use trig fro this... Any help with this problem is greatly appreciated.

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# Phase constant for light waves

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