Question

Θ is an angle in quadrant 4 in which secΘ = 4. Use a trig identity to find the exact value of tanΘ.

I used 1 + tan^2Θ = sec^2Θ.
I got tan^2Θ = 15, but since tan is in quad 4, I think tanΘ = -sqrt15. Is this right?

Answer 1

@jim_thompson5910

Answer 2

\[\Large \tan(\theta) = -\sqrt{15}\] is correct