Question 179
Evaluate
$$
\prod_{\theta=1}^{89}\left(\tan \theta^{\circ} \cos 1^{\circ}+\sin 1^{\circ}\right)
$$
$$
\prod_{\theta=1}^{89}\left(\tan \theta^{\circ} \cos 1^{\circ}+\sin 1^{\circ}\right)
$$
MathNet 2026 — Part 07 Question 179
Math Olympiad Vault · MathNet 2026 — Part 07