Evaluate \tan\frac{3\pi}{2}

Victor Wall 2021-12-29 Answered
Evaluate \(\displaystyle{\tan{{\frac{{{3}\pi}}{{{2}}}}}}\)

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Thomas Nickerson
Answered 2021-12-30 Author has 5586 answers
\(\displaystyle{{\tan{{\left({\frac{{{3}\pi}}{{{2}}}}\right)}}}^{{{c}}}=}{\tan{{270}}}°\)
As \(\displaystyle{270}°\) falls in the third quadrant, tan and cot are positive values
\(\displaystyle{\tan{{270}}}°={\tan{{\left({180}°+{90}°\right)}}}={\tan{{90}}}°=\infty\)
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Foreckije
Answered 2021-12-31 Author has 891 answers
\(\displaystyle{\tan{{\frac{{{3}\pi}}{{{2}}}}}}=\infty\)
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nick1337
Answered 2022-01-08 Author has 9672 answers

Value of \(\tan\frac{3\pi}{2}\) is undefined

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