Question

what is the tangent of \\( \theta \\)?
\\( \tan \theta = - \frac {? } {? } \\)

Explanation:

Step1: Recall the formula for tangent in the unit - circle

For a point \((x,y)\) on the unit - circle, \(\tan\theta=\frac{y}{x}\).

Step2: Identify \(x\) and \(y\) values

Here, \(x =-\frac{3}{5}\) and \(y=\frac{4}{5}\).

Step3: Calculate \(\tan\theta\)

\(\tan\theta=\frac{y}{x}=\frac{\frac{4}{5}}{-\frac{3}{5}}=-\frac{4}{3}\)

Answer:

\(\frac{4}{3}\)