Question

The point P(12, 16) is on the terminal side of θ. Evaluate tan θ.

Answer 1

Since both x and y (12 and 16) are positive, we're in Quadrant I.

The tangent of this angle is

opp
-----
adj

or ... ?

Answer 2

i really don't know what to do

Answer 3

What I typed above is the definition of the tangent function.
opposite side
tan theta = ------------
adjacent side

so all you have to do is to write
16
tan theta = -----
12

The best way to do this involves (1) reducing 16/12 to 4/3 and (2) finding the
inverse tangent of 4/3. Decide whether you want to find this angle in radians or degrees.

J-Z: Please ask questions if you need clarification of this process.

Answer 4

ok so once i reduce it i just find the inverse tangent and thats it?

Answer 5

Yes, after setting your calculator to either degree mode or radian mode, as you prefer. In this case there is only one answer, since we know we're restricted to Quadrant I.

Answer 6

ok thank you very much

Answer 7

My great pleasure!