Solve for x: 4 cos^2 x+ √3=2(√3 + 1) cos x.
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Step-by-step explanation:
4 cos^2 x+ √3=2(√3 + 1) cos x.
cos^2 x+ √3/4 =(√3 + 1)/2 cos x./2
cos^2 x - (√3 + 1)/2 cos x + √3/4 = 0
cosx = (√3 + 1)/2± √4-2√3/2÷2 = (√3 + 1)± √3 -1 ÷4
cos x = √3/2 , 1 /2
x = 2nπ±π/3 , 2nπ±π/6 , n is any integer
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