General Solutions to Equations...

Quote:

Originally Posted by oryxncrake

How can I find the general solutions to the following equations where 0 < x < 2pi?

2cos^2x + cosx = 1

$\textcolor{red}{2\cos^2(x) + \cos(x) - 1 = 0}<br />$

$\textcolor{red}{[2\cos(x) - 1][\cos(x) + 1] = 0}$

set each factor = 0 and solve for cosx ... solutions for x will be unit circle values

2tanx + square root of 12 = 0

$\textcolor{red}{2\tan(x) + 2\sqrt{3} = 0}$

$\textcolor{red}{\tan(x) = -\sqrt{3}}$

look for solutions on your unit circle

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