Question

tan(x)+√3=0

Trigonometric equation and identitie
ANSWERED
asked 2021-05-29
tan(x)+√3=0

Answers (1)

2021-05-30
\(\displaystyle{\tan{{\left({x}\right)}}}+√{3}={0}\)
Subtract \(\displaystyle√{3}\) from both sides
\(\displaystyle{\tan{{\left({x}\right)}}}+√{3}-√{3}={0}-√{3}\)
\(\displaystyle{\tan{{\left({x}\right)}}}=-√{3}\)
General solution for \(\displaystyle{\tan{{\left({x}\right)}}}=-√{3}\) \(\displaystyle{x}={2}\frac{{\pi}}{{3}}+{\left(\pi\right)}{n}\)
[Radians: \(\displaystyle{x}={2}\frac{{\pi}}{{3}}+{\left(\pi\right)}{n};{D}{e}{g}{r}{e}{e}{s}:{x}={120}+{180}{n}{]}\)
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