Question
Asked Sep 26, 2019
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If the given angle is in standard position, find two positive coterminal angles and two negative co- terminal angles.

 

a. 620 degrees

b. 5pi/6

c. - pi/4

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Expert Answer

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Step 1

a) The angle θ=620֯ in standard position.

In order to find positive co-terminal angles, add n(360°) to the angle 0 wheren is any
positive integer.
Find the first positive co-terminal angle
0=620°+360°
980°
Find the second positive co-terminal angle
0 6200 2(360°
620° 720°
=1340°
In order to find negative co-terminal angles, subtract the angle e by n(360°) where n is
any positive integer.
Find the first negative co-terminal angle.
e 620° 360
260°
Find the second negative co-terminal angle
0=620-2(360°)
-620°-7200
-100°
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In order to find positive co-terminal angles, add n(360°) to the angle 0 wheren is any positive integer. Find the first positive co-terminal angle 0=620°+360° 980° Find the second positive co-terminal angle 0 6200 2(360° 620° 720° =1340° In order to find negative co-terminal angles, subtract the angle e by n(360°) where n is any positive integer. Find the first negative co-terminal angle. e 620° 360 260° Find the second negative co-terminal angle 0=620-2(360°) -620°-7200 -100°

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Step 2

b) The angle θ=5π/6 ...

In order to find positive co-terminal angles, add the angle 2nr to 0 where n is positive
integer
Find the first positive co-terminal angle.
5л
+2
6
17T
6
Find the second positive co-terminal angle.
5л
+2(27)
6
29m
6
In order to find negative co-terminal angles, subtract the angle 0 by 2n7 where n is
positive integer.
Find the first negative co-terminal angle.
5л
27
6
7T
Find the second positive co-terminal angle.
5л
2(2)
Ө-
6
19T
6
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Image Transcriptionclose

In order to find positive co-terminal angles, add the angle 2nr to 0 where n is positive integer Find the first positive co-terminal angle. 5л +2 6 17T 6 Find the second positive co-terminal angle. 5л +2(27) 6 29m 6 In order to find negative co-terminal angles, subtract the angle 0 by 2n7 where n is positive integer. Find the first negative co-terminal angle. 5л 27 6 7T Find the second positive co-terminal angle. 5л 2(2) Ө- 6 19T 6

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