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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1 Answer
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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. $\endgroup$ Commented Nov 17, 2016 at 6:31
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1$\begingroup$ you can use
Solveas well: see the latest edit $\endgroup$– kevinCommented Nov 17, 2016 at 6:32