How do you evaluate $\mathrm{sec}\left[{\mathrm{cot}}^{-1}(-6)\right]$ ?

bistandsq
2022-01-23
Answered

How do you evaluate $\mathrm{sec}\left[{\mathrm{cot}}^{-1}(-6)\right]$ ?

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Ronald Alvarez

Answered 2022-01-24
Author has **11** answers

Explanation

$\mathrm{sec}\left[{\mathrm{cot}}^{-1}(-6)\right]$

$=\frac{1}{{\mathrm{cos}}^{-1}(-6)}$

Using the following rule , we can simplify the denominator:

$=\frac{1}{\left(\frac{-6}{\sqrt{1+{(-6)}^{2}}}\right)}$

$=\frac{\sqrt{1+36}}{-6}$

$=-\frac{\sqrt{37}}{6}$

Using the following rule , we can simplify the denominator:

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