TRIGONOMETRIC FUNCTIONSMaDomains and ranges of trigonometric functionsEsWhat are the domains and ranges of the following functions?Function(Choose one)DomainycoSxRangeThe set of all real numbers, except odd integer multiples of2DomainThe set of all real numbers from -1 to 1y=tanxThe set of all real numbers, except integer multiples of tRangeThe set of all real numbers less than or equal to - 1 or greater than or equal to 1The set of all real numbersDomainyCSCx(Choose one)Range?X

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Asked Sep 27, 2019
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TRIGONOMETRIC FUNCTIONS
Ma
Domains and ranges of trigonometric functions
Es
What are the domains and ranges of the following functions?
Function
(Choose one)
Domain
ycoSx
Range
The set of all real numbers, except odd integer multiples of
2
Domain
The set of all real numbers from -1 to 1
y=tanx
The set of all real numbers, except integer multiples of t
Range
The set of all real numbers less than or equal to - 1 or greater than or equal to 1
The set of all real numbers
Domain
yCSCx
(Choose one)
Range
?
X
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TRIGONOMETRIC FUNCTIONS Ma Domains and ranges of trigonometric functions Es What are the domains and ranges of the following functions? Function (Choose one) Domain ycoSx Range The set of all real numbers, except odd integer multiples of 2 Domain The set of all real numbers from -1 to 1 y=tanx The set of all real numbers, except integer multiples of t Range The set of all real numbers less than or equal to - 1 or greater than or equal to 1 The set of all real numbers Domain yCSCx (Choose one) Range ? X

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Expert Answer

Step 1

Calculation:

Compute the domain and the range of the function  y = cos(x)  as follows.

It is known that the value of cos(x) lies between −1 and 1 for all real values of x.

Thus, the domain of y = cos(x) is the set of all real numbers.

Range of y = cos(x) is set of all real numbers from −1 to1.

Compute the domain and the range of the function  y = tan(x)  as follows.

Rewrite y = tan(x) as y = sin(x)/cos(x).

Since cos(0) = 0, the function is undefined for all integer multiplies of π and for 0.

Thus, the domain of y = cot(x) is the set of all real numbers ...

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