Question

Find the angle on the unit circle

Answer 1

Explanation:

`-(√(5) )/(4) =r cos \theta\\-(√(11) )/(4) =rsin \theta\\divide \\(r~sin~\theta)/(r ~cos ~\theta) =(-(√(11) )/(4) )/(-(√(5) )/(4) ) \\tan~\theta=(11)/(5) \\\theta=tan^(-1) ((11)/(5) )=65.56^\circ,(65.56+180)^\circ=65.56^\circ,245.56^\circ`

∵ x,y are both negative.

Hence θ lies in third quadrant.

so θ≈245.56°≈246°