Math  /  Trigonometry

Question4cos2x=34 \cos 2 x=3

Studdy Solution
Solve for xx by dividing each part of the equation by 2:
x=12cos1(34)+kπ x = \frac{1}{2} \cos^{-1}\left(\frac{3}{4}\right) + k\pi x=12cos1(34)+kπ x = -\frac{1}{2} \cos^{-1}\left(\frac{3}{4}\right) + k\pi
The general solutions for x x are:
x=12cos1(34)+kπ x = \frac{1}{2} \cos^{-1}\left(\frac{3}{4}\right) + k\pi x=12cos1(34)+kπ x = -\frac{1}{2} \cos^{-1}\left(\frac{3}{4}\right) + k\pi
where k k is an integer.

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