# TrigonometryTrig. product

#### jacks

##### Well-known member
The value of $\sin (1^0).\sin (3^0).\sin (5^0)...........\sin (87^0).\sin (89^0)$

where all angles are in degree

#### Sudharaka

##### Well-known member
MHB Math Helper
The value of $\sin (1^0).\sin (3^0).\sin (5^0)...........\sin (87^0).\sin (89^0)$

where all angles are in degree
Hi jacks,

I haven't found a way solve this algebraically. But if you are interested about the answer it is, $$4.0194366942304562\times 10^{-14}$$

#### jacks

##### Well-known member
Hi jacks,

I haven't found a way solve this algebraically. But if you are interested about the answer it is, $$4.0194366942304562\times 10^{-14}$$
Thanks Sudhakara

I am trying to find it with the help of complex no.(like nth -roots of unity)

#### Opalg

##### MHB Oldtimer
Staff member
The value of $\sin (1^0).\sin (3^0).\sin (5^0)...........\sin (87^0).\sin (89^0)$

where all angles are in degree
Follow the method used in this thread, noting that $x=\pm1^\circ,\pm3^\circ,\pm5^\circ,\ldots,\pm89 ^\circ$ are the solutions of the equation $\cos(90x) = 0.$