Math

CalculusQ&A LibraryO TRIGONOMETRIC FUNCTIONSDomains and ranges of trigonometric functionsWhat 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 TtThe set of all real numbers less than or equal to 1 or greater than or equal to 1RangeDomainThe set of all real numbersyCSCx|(Choose one)Range?Question

Asked Sep 27, 2019

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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**

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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