Question

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? Check all that apply.

A. y = tan x
B. y = sec x
C. y = csc x
D. y = cot x

Answer 1

A is out as range of tan x extends to infinity (tan 45)

sec x is opposite of cos x, thus similar properties.
cos x range is between 1 and -1, thus B is correct

csc x is opposite of sin x, thus similar properties
sin x range is between 1 and -1, thus C is correct

cot x is opposite of tan x, thus similar properties
tan x range is between infinity and negative infinity, D is wrong

Answer 2

cool Thanks