skateviola
skateviola skateviola
  • 01-03-2019
  • Mathematics
contestada

the domain of y=cscx is given by x≠npi

true or false?​

the domain of ycscx is given by xnpitrue or false class=

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danielmaduroh
danielmaduroh danielmaduroh
  • 01-03-2019

Answer:

True

Step-by-step explanation:

The graph of the function [tex]y=csc(x)[/tex] is shown below. So this graph is also known as a reciprocal function because it can be found as follows:

[tex]y=csc(x)=\frac{1}{sin(x)}[/tex]

Hence these are the features of this function:

  • The period is [tex]2\pi[/tex]
  • Domain: All [tex]x\neq n\pi[/tex]
  • Range: [tex](-\infty,-1] \ U \ [1. \infty)[/tex]
  • Vertical asymptotes [tex]x\neq n\pi[/tex]
  • Symetry: Origin
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