What is the range and domain of f(x) = csc x ?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 2T
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What is the range and domain of f(x) = csc x ?
Expert Solution
Step 1
csc x= 1/sin x, so when sin x=0 then csc x does not exist.
Sin x=0 at x=0, +/- pi, +/- 2pi, ....
So these values will be excluded from domain of csc x.
Answer: Domain is all real numbers except 0, +/- pi, +/- 2pi, +/- 3pi,...
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