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Which function has a domain of all real numbers? A. y = secx B. y = cosx C. y = tanx D. y = 1/sin x Solution Functions sec(x) and tan(x) are not defined when x = (2n+1)/2 (where n is an integer) Similarly, function 1/sin(x) is not defined when x = n (where n is an integer) Cos(x) is defined for all the real values of x Hence, the only option that has domain of all real numbers is function y = cos(x). Option B.

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Which function has a domain of all real numbers? A. y = secx B. y = cosx C. y = tanx D. y = 1/sin x Solution Functions sec(x) and tan(x) are not defined when x = (2n+1)/2 (where n is an integer) Similarly, function 1/sin(x) is not defined when x = n (where n is an integer) Cos(x) is defined for all the real values of x Hence, the only option that has domain of all real numbers is function y = cos(x). Option B

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  • 1. Which function has a domain of all real numbers? A. y = secx B. y = cosx C. y = tanx D. y = 1/sin x Solution Functions sec(x) and tan(x) are not defined when x = (2n+1)/2 (where n is an integer) Similarly, function 1/sin(x) is not defined when x = n (where n is an integer) Cos(x) is defined for all the real values of x Hence, the only option that has domain of all real numbers is function y = cos(x). Option B