Random Easy Trig Questions

Anybody who wants a challenge: Compute the sines of the half angles of angles \alpha, \beta, \theta, and \gamma such that
\tan \alpha=\frac{7}{24}
\sin \beta=\frac{8}{17}
\sin \theta=\frac{15}{17}
\tan \gamma=\frac{24}{7}
Now I don’t have the answers to anything except \alpha, but I know exactly how to do them and can mostly solve them fast. Give answers soon!

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Anybody who gives correct answers can be Solved (check profile) once you answer :slight_smile: :wink:

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Hint for this: let the sine or tan of the half angle be a, set up a quadratic either in a or in a^2 and solve.

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