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

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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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