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I have an equation $4\sin^2(θ) = 1+4\cos(θ)$. I need to solve this equation on the interval $0<=θ<2 π$.

How would I use the Solve and/or Reduce commands to solve this equation?

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Reduce[{4 Sin[θ]^2 == 1 + 4 Cos[θ], 0 <= θ < 2 π}]
 (* θ == π/3 || θ == (5 π)/3 *)

Solve[{4 Sin[θ]^2 == 1 + 4 Cos[θ], 0 <= θ < 2 π}]
 (* {{θ -> π/3},{θ -> (5 π)/3}} *)
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  • $\begingroup$ Thank you! I kept using Solve and gave me much longer solutions. $\endgroup$ – Prithvi Boinpally Nov 17 '16 at 6:31
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    $\begingroup$ you can use Solve as well: see the latest edit $\endgroup$ – kevin Nov 17 '16 at 6:32

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