(Solved): Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the a ...

Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle. \[ 75^{\circ} \] \[ \begin{array}{l} \sin \left(75^{\circ}\right)= \\ \cos \left(75^{\circ}\right)= \\ \tan \left(75^{\circ}\right)= \end{array} \] Solve the equation. (Find all solutions of the equation in the interval \( [0,2 \pi \) ), Enter your answers as a comma-separated list.) \( \cos (2 x)-\cos (x)=0 \) \( x=\frac{\pi}{3}, \pi, \frac{5 \pi}{3} x \)