SOLUTION: Find the exact value. Do not use a calculator.
sin(-15π) = ___________
I have searched my book for examples on how to work this problem and I'm having a hard time find
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Question 402407: Find the exact value. Do not use a calculator.
sin(-15π) = ____________
I have searched my book for examples on how to work this problem and I'm having a hard time finding a solution or an example of how to find the answer..If you could help me that would be great! Thanks!
Found 2 solutions by scott8148, josmiceli:
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
angles greater than 2π (360º) just repeat the reference circle over (and over) again
-15π is 7.5 complete circles in the negative (clockwise) direction
so the reference angle is halfway around the circle; π radians or 180º
sin(180º) = ?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If you went around a complete circle in a clock-wise
direction, which is (-) direction, once around is
You are back where you started at
Now suppose you do this times. You have gone
around the circle times, and you are back
where you started at . Now head in the (-)
direction (CW) more. That puts you at
on the circle. Now the answer is
Note that any odd number times will put you
at .
Hope this helps
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