State the domains of the six trigonometric functions. Group of answer choices sin θ       [ Choose ]            (−∞, ∞) ,      or       All real numbers except θ = kπ for any integer k,        or    All real numbers except θ = π/2 + kπ for any integer k   cos θ        [ Choose ]            (−∞, ∞) ,      or       All real numbers except θ = kπ for any integer k,        or    All real numbers except θ = π/2 + kπ for any integer k       tan θ     [ Choose ]            (−∞, ∞) ,      or       All real numbers except θ = kπ for any integer k,        or    All real numbers except θ = π/2 + kπ for any integer k       csc θ            [ Choose ]            (−∞, ∞) ,      or       All real numbers except θ = kπ for any integer k,        or    All real numbers except θ = π/2 + kπ for any integer k      sec θ   [ Choose ]            (−∞, ∞) ,      or       All real numbers except θ = kπ for any integer k,        or    All real numbers except θ = π/2 + kπ for any integer k   cot θ            [ Choose ]             (−∞, ∞) ,      or       All real numbers except θ = kπ for any integer k,        or    All real numbers except θ = π/2 + kπ for any integer k

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 84E
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Question

State the domains of the six trigonometric functions.

Group of answer choices

sin θ

      [ Choose ]         

  (−∞, ∞) ,      or       All real numbers except θ = kπ for any integer k,        or    All real numbers except θ = π/2 + kπ for any integer k  

cos θ

       [ Choose ]         

  (−∞, ∞) ,      or       All real numbers except θ = kπ for any integer k,        or    All real numbers except θ = π/2 + kπ for any integer k      

tan θ

    [ Choose ]         

  (−∞, ∞) ,      or       All real numbers except θ = kπ for any integer k,        or    All real numbers except θ = π/2 + kπ for any integer k      

csc θ

           [ Choose ]         

  (−∞, ∞) ,      or       All real numbers except θ = kπ for any integer k,        or    All real numbers except θ = π/2 + kπ for any integer k     

sec θ

  [ Choose ]         

  (−∞, ∞) ,      or       All real numbers except θ = kπ for any integer k,        or    All real numbers except θ = π/2 + kπ for any integer k  

cot θ

           [ Choose ]          

  (−∞, ∞) ,      or       All real numbers except θ = kπ for any integer k,        or    All real numbers except θ = π/2 + kπ for any integer k         

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