Question

The point (-1,4) is on the terminal side of angle theta in standard position. What are the values of sine, cosine, tangent of theta

Answer 1

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:

$sin\phi=\frac{y}{r}\\\\cos\phi=\frac{x}{r}\\\\tan\phi=\frac{y}{x}\\\\r=\sqrt{(x)^2+(y)^2}$

For the point P(-1 , 4) you obtain:

$r=\sqrt{(-1)^2+(4)^2}=\sqrt{17}\approx 4.123$

$sin\phi=\frac{4}{4.123}=0.97\\\\cos\phi=\frac{-1}{4.123}=0.242\\\\tan\phi=\frac{4}{-1}=-4$