SOLUTION: Find all solutions to the equation tan(t)=1/tan(t) in the interval 0≤t≤2π. First estimate the solutions from a graph, then find exact answers (given as fractions,

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Question 966030: Find all solutions to the equation tan(t)=1/tan(t) in the interval 0≤t≤2π. First estimate the solutions from a graph, then find exact answers (given as fractions, not decimals). Enter your answers as a comma separated list.
t=

Answer by lwsshak3(11628) About Me  (Show Source):
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Find all solutions to the equation tan(t)=1/tan(t) in the interval 0≤t≤2π. First estimate the solutions from a graph, then find exact answers (given as fractions, not decimals). Enter your answers as a comma separated list.
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tan(t)=1/tan(t)
tan^2(t)=1
tan(t)=±√1=±1
t=π/4, 3π/4, 5π/4, 7π/4