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Question 131065: Hello,
I am having a hard time understanding the concept of even and odd Trigonometric Functions and have come to a problem I just do not understand how to solve. The problem is:
Use the even-odd properties to find the exact value of the expression. It may be helpful to draw the unit circle graph. I can input this into a calculator to get the answer, but I need to learn and understand for future studies.
sin(-pi)
Any help or explanation in layman's terms would be appreciated. Thanks so much!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! sin(-pi)
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Draw the unit circle on a coordinate system.
Four points on the circle:
At 0 radians you have (1,0)
At pi/2 you have (0,1)
At pi you have (-1,0)
At (3/2)pi you have (0,-1)
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The point (-1,0) is at pi radians and at -pi radians.
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The y-value for each of these points (and all other points
on the circle, is the sine of the corresponding angle.
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So, sin(-pi) = 0
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Cheers,
Stan H.
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