Question

Write sec ( arccot u ) as an expression in u .

Answer 1

\[arccot(u)=\theta\]
\[u=\cot(\theta)\]
well, that means
\[\cot(\theta)=\frac{u}{1}\]
in a right triangle, where
\[\cot(\theta)=\frac{adj}{opp}\]
so, what would be
\[\sec(\theta)\] in that triangle
hint: \[\sec(\theta)=\frac{hyp}{adj}\]

Answer 2

you can use pythagorean theorem to find the hypotenuse since you already have the adj side