Question

The point P(x, y) lies on the terminal side of an angle theta = 3 pi/4 in standard position. What are the signs of the values of x and y?

Answer 1

3pi/4 is 135 in degrees. A 135-degree angle lies in quadrant 2. In quadrant 2, the x values are negative and the y values are positive.

Answer 2

x coordinate is negative

y coordinate is positive

Explanation:

We know that

`\pi=180`

Hence

`(3\pi)/(4)=(3*180)/(4)`

`(3\pi)/(4)=3*45=135`

Hence our angle lies in the second quadrant. Second quadrant is enclosed by the negative x axis and positive y axis.

In second quadrant, we have negative value if x coordinate and positive value of y coordinate.