SOLUTION: Find all real numbers that satisfy the equation. {{{ tan ( (pi) x / 4 ) = 1 }}}

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Question 1004524: Find all real numbers that satisfy the equation.
+tan+%28+%28pi%29+x+%2F+4+%29+=+1+
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Common reference angle is pi%2F4. This angle gives tangent of 1.

x%2Api%2F4=pi%2F4%2B-+n%2Api for n being any integer;

x=%284%2Fpi%29%28pi%2F4%2B-+n%2Api%29

highlight%28x=1%2B-+4n%29