Question

What are the exact roots for `5-tan^2theta=4` is undefined in `-180^circ<=theta<360^circ`?

Answer 1

`-90^@; 90^@, and 270^@`

Explanation:

When `t = pi/2`, and `t = (3pi)/2` --> tan t = +- infinity -->
`tan^2 t` = infinity.
So, the equation is undefined when `t = pi/2`, and `t = (3pi)/2`
In the interval (- 180, 0, 360), the equation is undefined when -->
t = - 90^@, t = 90^@, and t = 270^@.