My Math Forum Why is sin(3.6) NEGATIVE?

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 December 18th, 2016, 09:28 AM #1 Newbie   Joined: Dec 2016 From: Romania Posts: 2 Thanks: 0 Why is sin(3.6) NEGATIVE? Why is sin(3.6) negative? It makes no sense. It should be positive between -90 and 90 degrees.
 December 18th, 2016, 10:03 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,826 Thanks: 2160 Perhaps you meant between 0 and 90 degrees, but 3.6 radians exceeds 180 degrees.
December 18th, 2016, 10:40 AM   #3
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Quote:
 Originally Posted by flaby Why is sin(3.6) negative?
Because $\pi < 3.6 < \dfrac{3\pi}{2}$ ... 3.6 radians lies in quadrant III where sine values are negative.

If you meant to calculate $\sin(3.6^\circ) = 0.06279...$, then change your calculator from radian to degree mode.

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