Question

How do you evaluate `sec [Cot^-1 (-6)]`?

Answer 1

`-sqrt37/6`

Explanation:

`sec[cot^(-1)(-6)]`

`1/{cos[cot^-1(-6)]}`

Using the following rule , we can simplify the denominator:

`1/{(frac{-6}{sqrt(1+(-6)^2)})}`

`frac{sqrt(1+36)}{-6}`

`-frac{sqrt37}{6}`