anonymous
  • anonymous
Solve on the interval [0,2π): 4 csc x+1 = -3 A. 2π/3, 4π/3 B. π/6, 5π/6 C. 3π/2 D. 7π/6, 11π/6 ***My Answer: B*** Not too sure though. Please help!
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
well first subtract the 1 from the first side to get 4 csc x = -4 and then divide each side by 4 to get csc x = -1, then you know that csc x = 1/sin x so (1/sin x)=-1. If you simplify this algebraically it is sin x = -1 which is true only at 3pi/2, therefore you are correct.
anonymous
  • anonymous
Great! Thank you so much!

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