Trig Functions Of Acute Angles Worksheet Page 4
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162.2 -- Trig Functions of Non-Acute Angles
Wednesday, August 07, 2013
12:57 PM
Reference Angles
reference angles animation
A
reference
angle, written as θ', is the positive acute angle formed by the terminal side of angle
θ and the
x-axis.
Basically, you are looking for how far the angle is from the x-axis!
θ' = θ
180
θ' = θ
θ' = 360
θ
θ' = 180
θ
The most important and the most used angles in trig. 45⁰, 30⁰, 60⁰
1)
Add or subt 360 until you get an
Ex1: Finding Reference Angles
angle btwn 0 and 360.
Find the reference angle for each of the following:
2)
Figure out in which quadrant the
1)
218˚
2) 1387˚
angle lies
3)
QI:
θ' = θ
QII: θ' = 180 - θ
QIII: θ' = θ - 180
QIV: θ' = 360 - θ
4)
To find the trig functions
a.
Find the trig functions of θ'
3)
294˚
4) 883˚
b.
Determine the correct signs
depending on the quadrant for
the original angle θ.
Chapter 2 Page 4
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