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

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Answer 1 · 2016-12-27T04:24:45

$pi/3 + 2pin$

The function $y = cosx$ has a period of $2pi$ .

Therefore, the general solution of any equation in cosine will have $+ 2pin$ where n is an integer.

Hopefully this helps!

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 pi/3pi/3?