Question

The Value of$\cos 1^{°}\cos 2°cos3°\dots cos180°=?$

Answer 1

Finding the value of$\cos 1^{°}\cos 2°cos3°\dots cos180°$

$$\begin{gathered} \cos 1^{°}\cos 2°\cos 3°\dots \cos 180°=\cos 1^{°}\cos 2°\cos 3°\dots \cos 90°......\cos 180° \\ \mathrm{but}\cos 90°=0 \\ \therefore \cos 1^{°}\cos 2°\cos 3°\dots \cos 180°=0 \end{gathered}$$