Question

How do you solve `sec^2 theta + tan theta = 0`?

Answer 1

`tan theta`=`(-1+-isqrt3)/2`

Write `sec^2 theta = 1+tan^2 theta`, so that given equation becomes `tan^2 theta +tan theta +1=0`. Solving this for `tan theta` we would have `tan theta = (-1+-sqrt(1-4))/2`

=`(-1+-isqrt3)/2`