Questions: What is the tangent of θ ? tan θ = -[?]/□

Transcript text: What is the tangent of $\theta$ ? \[ \tan \theta=-\frac{[?]}{\square} \]

Solution

Step 1: Identify the coordinates of the point on the terminal side of the angle.

The coordinates are given as (-3/5, 4/5).

Step 2: Recall the definition of tangent in the unit circle.

The tangent of an angle in the unit circle is defined as y/x, where (x, y) are the coordinates of the point on the terminal side of the angle.

Step 3: Calculate the tangent.

In this case, x = -3/5 and y = 4/5. So, tan θ = y/x = (4/5) / (-3/5) = -4/3.

-4/3

Was this solution helpful?

Unhelpful

Helpful