Reference Angle Chart Page 5
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1
2
3
4
5An infinite number of solutions? Yeah…it’s true.
If two angles are coterminal, then the values of the trig functions are the same
at those angles.
Compare sin 22
to sin 382
to sin 742 .
What’s true about these values?
What’s true about the angles?
How would you write every single angle for which sin
is equal to sin 22 ?
Find every possible angle satisfying the given information.
Ratio
Quadrant
Reference Angle
Angle(s)
sin
0.4688
???
csc
6.3287
II
cos
0.4523
???
sec
2.8119
IV
Summary:
We can find the reference angle for any angle.
You’re better off thinking of the picture of the angle than memorizing formulas.
We can find the exact values of trig functions for any angle in the 30, 45, or 60 camp.
We can work backwards (and often do) to find angles in any quadrant given ratios.
Unless otherwise restricted, there are an infinite number of angles that fit the given
information.
All of these notes roughly correlate with Section 3.1 in the textbook.
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