kiddo96 kiddo96
  • 16-04-2019
  • Mathematics
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Solve for x in the given interval

Solve for x in the given interval class=

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LammettHash
LammettHash LammettHash
  • 17-04-2019

In general, we have

[tex]\csc x=-1\implies\sin x=\dfrac1{-1}=-1\implies x=\dfrac{3\pi}2+2n\pi[/tex]

for integers [tex]n[/tex]. We get a solution in the interval [tex][3\pi,4\pi][/tex] for [tex]n=1[/tex], which gives

[tex]x=\dfrac{7\pi}2[/tex]

and so the answer is C.

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