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Is the sine of an angle positive?

Updated: 12/18/2022
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14y ago

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The sine of an angle between 0 and 180 degrees is positive. The sine of an angle between 180 degrees and 360 degrees is negative. At 0, 180 and 360 degrees the sine is 0.

The sine is a periodic function with period 360 degrees, so angles differing by a multitude of 360 degrees have the same sine. Hence, for instance, the sines of the angles 0, 360, 720, ... are equal, namely 0.

In any right triangle the sine of one of the non-right angles will be positive, since these are greater than 0 and less than 90 degrees.

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Q: Is the sine of an angle positive?
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All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.


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