SOLUTION: Find the reference angle for the given number a) 11pi/4 b) -11pi/6 (the whole fraction is negative not just 11pi) c) 11pi/3 I need a reminder on how this works. than

Question 855216: Find the reference angle for the given number
a) 11pi/4
b) -11pi/6 (the whole fraction is negative not just 11pi)
c) 11pi/3
I need a reminder on how this works. thank you.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the reference angle for the given number
a) 11pi/4
(11/4)pi is 2pi + (3/4)pi
(3/4)pi is 135 degrees
135 is 45 degrees above the x-axis (reference line for reference angles)
The reference angle for (11/4)pi is pi/4
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b) -11pi/6 (the whole fraction is negative not just 11pi)
(-11/6)pi is (1/6)pi short of one clockwise cycle of the circle.
That leaves you (1/6)pi above the x-axis
The reference angle is (1/6)pi
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c) 11pi/3
(11/3)pi = 2pi + (5/3)pi
(5/3)pi is 300 degrees
300 degrees is 60 degrees below the x-axis
The reference angle is pi/3
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Cheers,
Stan H.
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