Question

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

Answer 1

The value of tan θ is
`(4)/(3)`.

Explanation:

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

`\tan\theta=(perpendicular)/(base)`

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

`\tan\theta=(4)/(3)`

Or it can be written as

`\tan\theta=(y_2-y_1)/(x_2-x_1)=(4-0)/(3-0)=(4)/(3)`

Therefore the value of tan θ is
`(4)/(3)`.

Answer 2

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!