Question

The point P(3, 4) is on the terminal side of θ. Evaluate tan θ.

Answer 1

The answer to the problem is as follows:

tan θ = ∆y/∆x = (4-0)/(3-0) = 4/3

Therefore, the tan theta evaluated would be 4/3

I hope my answer has come to your help. God bless and have a nice day ahead!

Answer 2

Answer:

The value of tan θ is $\frac{4}{3}$.

Step-by-step explanation:

The point P(3, 4) is on the terminal side of θ.

$\tan\theta=\frac{perpendicular}{base}$

From the figure it is noticed that the perpendicular is 4 units and base is 3 units.

$\tan\theta=\frac{4}{3}$

Or it can be written as

$\tan\theta=\frac{y_2-y_1}{x_2-x_1}=\frac{4-0}{3-0}=\frac{4}{3}$

Therefore the value of tan θ is $\frac{4}{3}$.