Reference Angle Chart Page 2

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Reference Angle:
The reference angle for any angle
in standard position is the positive acute angle
between the terminal side of
and the x-axis. We will use
(theta prime) to denote a
reference angle. The textbook uses ˆ (theta hat).
Reference angles are pretty easy to “see” when you look at an angle. Find the reference
angle for each of the following angles by drawing the angle and looking (with a little
arithmetic).
35
125
235
335
There are formulas for how to find reference angles. We’ll write them down, but you’re
much better off just understanding.
Quadrant I:
Quadrant II:
Quadrant III:
Quadrant IV:
Again, you can use these formulas, but you don’t really need them if you understand
what a reference angle is…just think about the picture!

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