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| Math Central | Quandaries & Queries |
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Question from Yamama: hello ! I need help to solve this equation : 2cos^2 x + sin x = 2 Thank you very much |
Hi Yamama,
Write the equation as
\[2cos^2 x + sin x -2 = 0\]
and use the fact that
\[\sin^2(x) + \cos^2(x) = 1\]
to express your equation as a quadratic in $\sin(x).$ Solve the quadratic.
If you have an app on your computer that will graph equations you can use it to plot the graph of
\[y = 2cos^2 x + sin x -2 \]
to verify that you have found all the solutions.
Penny
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