Question

the point p(x, y) lies on the terminal side of an angle 3pi/ 4 in standard position. what are the signs of the values of x and y? both x and y are positive. both x and y are negative. x is positive, and y is negative. x is negative, and y is positive.

Answer 1

3pi/4 is 135 degrees (3*180/4=135), which is in the second quadrant.

Then x is negative and y is positive

 

Answer 2

Our angle lies on the second quadrant, which means that the x-component is negative and the y-component is positive.

Which sign the components have?

First, remember that in the first quadrant we have x > 0, y > 0.

On the second quadrant we have x < 0, y > 0.

On the third quadrant, we have x <0, y < 0.

On the fourth quadrant, we have x > 0, y < 0.

We know that the first quadrant goes from 0 to π/2.

The second quadrant goes from π/2 to π.

We know that:

π/2 < 3π/4 < π

So our angle lies on the second quadrant, which means that the x-component is negative and the y-component is positive.

If you want to learn more about angles

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