SOLUTION: Good evening who can me explain step by step how to solve following equation? tan^2(2x+pi/4)-1=0 Thank you in advance RB

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Question 1044522: Good evening who can me explain step by step how to solve following equation?
tan^2(2x+pi/4)-1=0
Thank you in advance RB

Answer by ikleyn(52813) About Me  (Show Source):
You can put this solution on YOUR website!
.
Good evening who can me explain step by step how to solve following equation?
tan^2(2x+pi/4)-1=0
Thank you in advance RB
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tan%5E2%282x%2Bpi%2F4%29-1 = 0  --->

tan%5E2%282x%2Bpi%2F4%29 = 1  --->

tan%282x%2Bpi%2F4%29 = +/-1  --->

2x+%2B+pi%2F4 = pi%2F4+%2B+k%2A%28pi%2F2%29, where k is any integer --->

2x = %28k%2Api%29%2F2, where k is any integer  --->

x = %28k%2Api%29%2F4, where k is any integer.

Answer.  x = %28k%2Api%29%2F4, where k is any integer.