Question

Question #e0579

Answer 1

For angles `0 <= theta <= 360°`

`theta = 180° - 45° = 135°`
or
`theta = 180°+45° =225°`

Explanation:

`sec^-1 = (-sqrt2)/1 = h/o`

The root angle is `45°` - based on an isosceles triangle with sides in the ratio: `1 :1 :sqrt2`

Sec is negative in the 2nd and 4th quadrants.

So for angles `0 <= theta <= 360°`

`theta = 180° - 45° = 135°`
or
`theta = 180°+45° =225°`