S9HAYSwisusumy S9HAYSwisusumy
  • 24-11-2016
  • Mathematics
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Trig, Coterminal angles... Which of the following are coterminal with -pi/4 ... (a) 7pi/4 (b)3pi/4 (c)-5pi/4) (d)-9pi/4 (e) pi/4

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alsteva alsteva
  • 27-11-2016
Correct answers are a) and d)

[tex]\alpha=- \frac{\pi}{4} [/tex]

Coterminal angles: [tex]\alpha+k\pi,\,k\in Z[/tex]

[tex]- \frac{\pi}{4}+2\pi=- \frac{\pi}{4}+ \frac{8\pi}{4} = \frac{7\pi}{4} \\ \\- \frac{\pi}{4}-2\pi=- \frac{\pi}{4}- \frac{8\pi}{4} = -\frac{9\pi}{4}[/tex]
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