How do you find the domain and range of y=tan x?

1 Answer
Deep
Apr 10, 2017

tanx = sinx/cosx
domain is all the values that x can take such that y always exists and is finite for that value of x.
thus x can take all such values where cosx is not zero because if cosx will be zero
tanx will become infinity and hence not defined .
thus domain is : all real numbers except the numbers at which cosx is zero i.e. npi/2 where n= 1,3,5,.........

range of tanx is all real numbers as it can take any value .

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