How do I solve \(4\cos^2 x - 1 = 0\)?
Answer (2)
To solve the equation 4cos^2 x - 1 = 0, isolate cos x to find cos x = ±1/2, then determine the angles that have this cosine value on the unit circle, considering the periodic nature of cosine to find all general solutions. ;
To solve 4 cos 2 x − 1 = 0 , rearrange it to cos 2 x = 4 1 , then take the square root to find cos x = ± 2 1 . The specific angles can then be determined, and the general solutions consider the periodicity of the cosine function.
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