When tanx=1, what does x equal?

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Jun 5, 2017

Answer:

#x=npi+(pi)/4#, where #n# is an integer.

Explanation:

#tanx=1#, but as #tan(pi/4)=1#

However, as period of tan function is #pi# and the function repeats after every #pi#,

the general solution for #tanx=1=tan(pi/4)# is

#x=npi+(pi)/4#, where #n# is an integer.

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