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# There is an angle such that What is the value of

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There is an angle \theta such that

\sin\left(\frac\theta2\right) + \cos\left(\frac\theta2\right) = -\frac65.

What is the value of

\sin(\theta)?

I've tried expanding using the half angle formula, and solving it out with cos theta but it does not seem to be the right solution. Can anyone help?

Oct 18, 2021

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$\sin \theta = \frac{3}{5}$

Oct 19, 2021