Answer:
cosФ = 0.97
sinФ = 0.292
tanФ = -4
Step-by-step explanation:
A general point P(x,y) with an angle Ф has the following trigonometrical functions:
[tex]sin\phi=\frac{y}{r}\\\\cos\phi=\frac{x}{r}\\\\tan\phi=\frac{y}{x}\\\\r=\sqrt{(x)^2+(y)^2}[/tex]
For the point P(-1 , 4) you obtain:
[tex]r=\sqrt{(-1)^2+(4)^2}=\sqrt{17}\approx 4.123[/tex]
[tex]sin\phi=\frac{4}{4.123}=0.97\\\\cos\phi=\frac{-1}{4.123}=0.242\\\\tan\phi=\frac{4}{-1}=-4[/tex]
