What are the solutions to cosine (2?)=square root 3 over 2 in the interval 0=?<2p??

Question

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Answer 1

Let's asume you wish to solve cos(2θ) = ½√3.  Then 2θ must equal pi/6 or 11pi/6, with either of these two answers possibly increased by 2pi.

 

Therefore when we divide by 2 to isolate θ, we get these four answers: pi/12, 13pi/12, 11pi/12, 23pi/12