# Why is sin(20) = sin(160) = -sin(200) = -sin(340)?

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- Jim VLv 73 weeks ago
Notice that each of the numbers is 20° off of the X axis.

That is why.

160° and 200° are 20° off of 180°

340° is 20° off of 360° (or 0°) and is the same thing as -20°.

And 200° and 340° are on the negative side.

Thus the sine distance from the X axis is the same in all cases.

(The last two being on the negative side.)

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- 3 weeks ago
I don't know. That's very weird. I never claimed to have a head for math. I only claimed that I don't believe gods exist.

- 3 weeks ago
Because sine waves are periodic, symmetrical and are odd functions

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