Question 71
Determine the product
$$
\left(1 - \frac{\cos 61^{\circ}}{\cos 1^{\circ}}\right) \left(1 - \frac{\cos 62^{\circ}}{\cos 2^{\circ}}\right) \dots \left(1 - \frac{\cos 119^{\circ}}{\cos 59^{\circ}}\right).
$$
$$
\left(1 - \frac{\cos 61^{\circ}}{\cos 1^{\circ}}\right) \left(1 - \frac{\cos 62^{\circ}}{\cos 2^{\circ}}\right) \dots \left(1 - \frac{\cos 119^{\circ}}{\cos 59^{\circ}}\right).
$$