SOLUTION: Can you let me know if I answered this math problem correctly? If Sin theta = -2/3 find Sin of (-theta) I came up with Sin theta = 2/3. Thank you. Sarah McGuire

Algebra ->  Trigonometry-basics -> SOLUTION: Can you let me know if I answered this math problem correctly? If Sin theta = -2/3 find Sin of (-theta) I came up with Sin theta = 2/3. Thank you. Sarah McGuire      Log On


   



Question 66160: Can you let me know if I answered this math problem correctly?
If Sin theta = -2/3 find Sin of (-theta)
I came up with Sin theta = 2/3.
Thank you.
Sarah McGuire

Found 3 solutions by Nate, stanbon, funmath:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Define:
f(theta) = sin(theta) = -2/3
f(-theta) = sin(-theta) = -sin(theta) = -(-2/3) = 2/3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If Sin theta = -2/3 find Sin of (-theta)
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Formula: sin(x)=-sin(-x)
Therefore If sin theta = -2/3,
sin(-theta)= - sin theta = 2/3
Cheers,
Stan H.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Hi Sarah,
sin theta is an odd, so you're right,
if sin(theta)=-2/3, then sin(-theta)=2/3
Keep up the good work!
Happy Calculating!!!