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!

1 Like

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

1 Like

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.

1 Like