Factor
\sin(\frac{4\theta +\pi }{4})
Evaluate
\sin(\frac{4\theta +\pi }{4})
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\frac{\sqrt{2}\left(\sin(\theta )+\cos(\theta )\right)}{2}
Factor out \frac{1}{2}.
\sqrt{2}\left(\sin(\theta )+\cos(\theta )\right)
Consider \sqrt{2}\left(\sin(\theta )+\cos(\theta )\right). Factor out \sqrt{2}.
\frac{\sqrt{2}\left(\sin(\theta )+\cos(\theta )\right)}{2}
Rewrite the complete factored expression.
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