Question

Determine the trigonometric functions (sin θ, cos θ, tan θ ) of the angles (in standard positive) whose terminal side passes through the given point (x, y)=(1.2, 0.5). Give answers in exact form.

Answer 1

We could extend the terminal arm to (12,5) without changing the angles.
Ahhh, now you should recognize the 5-12-13 right-angled triangle values
x=12
y=5
r=13

You just have to memorize the definition of the basic trig functions in terms of the x,y, and r values
that is,
sinØ = y/r, cosØ = x/r, and tanØ = y/x

plug in the above values and you are done