SOLUTION: solve the equation (tan t) (tan 2t)=1 for t t element [0,2pi)

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Question 759671: solve the equation (tan t) (tan 2t)=1 for t t element [0,2pi)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve the equation (tan t) (tan 2t)=1 for t t element [0,2pi)
tan%28t%29%2Atan%282t%29=1
tan%28t%29%2A2tan%28t%29%2F%281-tan%5E2%28t%29%29=1
2tan%5E2%28t%29=%281-tan%5E2%28t%29%29
3tan%5E2%28t%29=1
tan^2(t)=1/3
tan(t)=±(1/√3)
t=π/6, 5π/6, 7π/6, 11π/6