Question

the terminal side of an angle in standard position passes through P(-3,-4). what’s the value of tan(Theta)

Answer 1

4/3

Explanation:

I drew a picture in the attachment to show what we are looking at.

I found the point (-3,-4). I drew my angle my triangle from the x-axis and the origin to the point.

The angle that is theta is the one formed by the x-axis and the hypotenuse of the triangle where this hypotenuse was formed from the line segment from the origin to the given point.

`\tan(\theta)=\frac{\text{opposite to }\theta}{\text{adjacent to }\theta}=(-4)/(-3)=(4)/(3)`

So we could have said
`\tan(\theta)=(y)/(x)`.