The equation $costheta=1/2$ from $0<=theta<2pi$ has solutions $pi/3$ and $(5pi)/3$ . What is the general solution corresponding to $(5pi)/3$ ?

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Answer 1 · 2017-12-17T21:32:28

The cosine function has period $2pi$ , therefore the general solution will be $theta = (5pi)/3 + 2pin$ , where $n$ is an integer.

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The equation costheta=1/2costheta=1/2 from 0<=theta<2pi0<=theta<2pi has solutions pi/3pi/3 and (5pi)/3(5pi)/3. What is the general solution corresponding to (5pi)/3(5pi)/3?