military2022 military2022
  • 26-05-2020
  • Mathematics
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0:
Select all angles that are coterminal with the angle 3π4 .
A −3π4
B 11π4
C −5π4
D π4
E 7π4

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nuuk nuuk
  • 30-05-2020

Answer:(b), (c)

Step-by-step explanation:

Given angle is [tex]=\frac{3\pi }{4}[/tex]

Coterminal angles are those which shares same staring side and terminating side

The coterminal of given angle is

[tex]\Rightarrow \frac{3\pi }{4}+2\pi =\frac{11\pi }{4}[/tex]

Negative coterminal angle

[tex]\Rightarrow \frac{3\pi }{4}-2\pi [/tex]

[tex]\Rightarrow -\frac{5\pi }{4}[/tex]

Thus option (b) and (c) are correct

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