Finding all exact solutions to the equation on [0, 2pi)

2(cos^2)x + 3sinx = 3

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- Jul 28th 2010, 06:55 PMdanielh9103Solutions to Trigonometic Equation
Finding all exact solutions to the equation on [0, 2pi)

2(cos^2)x + 3sinx = 3 - Jul 28th 2010, 07:02 PMlvleph
I would suggest rewriting this using the fact that $\displaystyle \cos^2 x + \sin^2 x = 1$. From there you can treat $\displaystyle \sin x$ as a variable and solve the quadratic that results. If you don't understand the second part just post what you have after using the first suggestion.