Algebra-2

The terminal side of in standard position contains the point . We want to find the value of .

 

To find the value of , we need to determine the length of the opposite side of the angle in the right triangle formed by the point .

 

Given that the point lies on the terminal side of the angle , we can use these coordinates to determine the lengths of the sides of the triangle.

 

The opposite side is the side opposite to the angle and is the vertical side of the triangle. In this case, the opposite side has a length of 12, which corresponds to the -coordinate of the point.

 

Now we can calculate the value of :