Find the coordinates of the point whose polar coordinates are (20,140degrees).
r=20
0=140
x=r cos (o)
y=r sin (o)
x=20 cos (140)
y=20 sin (140)
x=20 (-0.7660)= -15.32
y=20 (0.6427)= 12.85
(-15.32, 12.86)
on my answer on my paper, I left off the - and the ) at the end. She pointed at the ( at the beginning but she didn't add the negative sign for 15.32 so I'm confused on whether I got it wrong just because I left off the parenthesis at the end or the answer isn't (-15.32, 12.86)
The correct answer for the coordinates of the point whose polar coordinates are (20, 140 degrees) is (-15.32, 12.85).
It seems like the confusion arises from the formatting of the coordinates. Typically, coordinates are written in the form (x, y), where x represents the horizontal component and y represents the vertical component. In this case, since x is -15.32 and y is 12.85, the correct representation should be (-15.32, 12.85).
The negative sign in front of 15.32 indicates that the x-coordinate is on the left side of the origin, while the positive sign in front of 12.85 indicates that the y-coordinate is above the origin. These signs are essential for correctly representing the position of the point in the coordinate plane.
Therefore, it seems like you have indeed got the correct coordinates, but just missed the formatting with the parentheses at the end.