Question

The point P (x,y) lies on the terminal side of an angle 0= 195 in standard position. What are the signs of the value of x and y

Answer 1

When we have a point (x, y), the angle that defines this point in polar coordinates is given by:

Tan(θ) = y/x

In this case, we know that θ = 195°

Then replacing that, we get:

Tan(195°) = y/x

0.268 = y/x

Now, there is a problem, we have a single equation and two variables.

So we will get:

y = (0.268)*x

This equation defines all the possible values that x and y could take such the angle in standard position is 195°.

So we only can conclude that:

x and y have the same sign.

For a given value of x, the correspondent y-value is:

y = (0.268)*x