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Determine the angle between 0 and 2π that is coterminal with quantity [tex]\frac{19\pi }{4\\}[/tex]

[tex]\frac{11\pi }{4} \\\\\frac{5\pi }{4} \\\\\frac{3\pi }{4} \\\\\frac{\pi }{4}[/tex]

Sagot :

Answer:

[tex]\frac{3\pi}{4}[/tex]

Step-by-step explanation:

Recall that co-terminal angles are angles which when drawn at standard position share a terminal side. Since we are restricted to the interval [0,2π], recognize that [tex]\frac{19\pi}{4}=\frac{16\pi}{4}+\frac{3\pi}{4}=4\pi+\frac{3\pi}{4}=2\pi+2\pi+\frac{3\pi}{4}=\frac{3\pi}{4}[/tex]. So, the co-terminal angle is [tex]\frac{3\pi}{4}[/tex].

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