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Asked Sep 27, 2019
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O TRIGONOMETRIC FUNCTIONS
Domains and ranges of trigonometric functions
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 Tt
The set of all real numbers less than or equal to 1 or greater than or equal to 1
Range
Domain
The set of all real numbers
yCSCx
|(Choose one)
Range
?
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O TRIGONOMETRIC FUNCTIONS Domains and ranges of trigonometric functions 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 Tt The set of all real numbers less than or equal to 1 or greater than or equal to 1 Range Domain The set of all real numbers yCSCx |(Choose one) Range ?

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Expert Answer

Step 1

y=cos x

all x values are possible

y values are from -1 to 1

Answer: 

For y=cosx 

Domain = The set of all real numbers

Range= The set of all real numbers from -1 to 1

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-3 2 4 0 2

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Step 2

y=tan x=sin x/cos x

So when cos x=0 , then tan x is undetermined. 

Cos x is 0 at x=pi/2 , 3pi/2, 5pi/2 etc

It takes all values for y.

Answer: 

For y= tan x

Domain = The ...

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2 1 -3 -2 2 2

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