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Which of the following trigonometric functions has a range of all real numbers? Select all that apply.

y = sin x
y = cos x
y = tan x
y = cot x
y = csc x
y = sec x

Respuesta :

emdinh96oreat3
 y = tan x
y = cot x
this is the answer 

Answer:

[tex]\tan x[/tex] and [tex]\cot x[/tex]

Step-by-step explanation:

Range of the set of output values.

Range o trigonometric functions are shown below:

Function            Range

[tex]\sin x[/tex]             [tex][-1,1][/tex]

[tex]\cos x[/tex]             [tex][-1,1][/tex]

[tex]\tan x[/tex]             All real numbers

[tex]\cot x[/tex]             All real numbers

[tex]\sec x[/tex]             [tex](-\infty,-1]\cup [1,\infty)[/tex]

[tex]\csc x[/tex]             [tex](-\infty,-1]\cup [1,\infty)[/tex]

We need to find the trigonometric functions that has a range of all real numbers.

Therefore, range of [tex]\tan x[/tex] and [tex]\cot x[/tex] functions is all real numbers.

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