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Trigonometry Examples
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Trigonometry
Find the Reference Angle -135 degrees
−
135
°
-
135
°
Step 1
Find an
angle
that is positive, less than
360
°
360
°
, and coterminal with
−
135
°
-
135
°
.
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Step 1.1
Add
360
°
360
°
to
−
135
°
-
135
°
.
−
135
°
+
360
°
-
135
°
+
360
°
Step 1.2
The resulting
angle
of
225
°
225
°
is positive and coterminal with
−
135
°
-
135
°
.
225
°
225
°
225
°
225
°
Step 2
Since the
angle
180
°
180
°
is in the third
quadrant
, subtract
180
°
180
°
from
225
°
225
°
.
225
°
−
180
°
225
°
-
180
°
Step 3
Subtract
180
180
from
225
225
.
45
°
45
°
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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