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Solving Trigonometric Equations

Answer»

Step-by-step EXPLANATION:

3 \cos(2x) = 2

or \: \cos(2x) = \frac{2}{3}

The PRINCIPLE SOLUTION is GIVEN by

2x \: = \cos {}^{ - 1} ( \frac{2}{3} )

or \: x = \frac{1}{2} \cos {}^{ - 1} ( \frac{2}{3} )

The GENERAL solution is given by

2x = 2n\pi +- \cos {}^{ - 1} ( \frac{2}{3} )

or \: x = n\pi + - \frac{1}{2} \cos {}^{ - 1} ( \frac{2}{3} )


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