Question

cos x = √3 find value of x
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Answer 1

The trigonometric equation

cos(x) = √3

has no real solutions.

The general non real complex solutions for x is

x = −i ln(√3 ± √2) + 2nπ

where, i = √(–1)

$\cos( - i \ln( \sqrt{3} ± \sqrt{2} ) + 2n\pi) = \sqrt{3} \\ \\ ∀ \: \: n ∈ ℤ$