The terminal side of an angle in standard position passes through p(-3, -4). What is the value of tan θ?

Solution:

When two rays start from a common point, an angle is formed.

The common point is called the vertex.

An angle is in standard position if the vertex lies at origin and the initial arms lie along the positive x-axis.

As the terminal side passes through p(-3, -4)

Terminal arm lies in IV Quadrant.

The ratio of the opposite side to the adjacent side is called the tangent.

From the triangle we know that,

tan θ = Opposite/Adjacent

Substituting the values

tan θ = -4/-3

tan θ = 4/3

So we get,

θ = 53.130

Therefore, the value of tan θ is 4/3.

---

The terminal side of an angle in standard position passes through p(-3, -4). What is the value of tanθ?

Summary:

The terminal side of an angle in standard position passes through p(-3, -4). The value of tan θ is 4/3.