# How do you find #sintheta# and #costheta# if the terminal side of #theta# lies along the line #y=2x# in QI?

##### 1 Answer

Apr 29, 2018

The slope, m, of the line

For this line, we know that any ordered pair of coordinates will form a right triangle, therefore, we can choose any point and use the Pythagorean Theorem to compute the hypotenuse:

Let's choose the point

We know that:

Rationalize the denominator:

We know that:

Rationalize the denominator: