Algebra-2

To find the value of , we need to determine the ratio of the length of the opposite side to the length of the adjacent side 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 , which corresponds to the vertical side of the triangle. In this case, the opposite side has a length of 15, which is equal to the absolute value of the -coordinate.

 

The adjacent side is the side adjacent to the angle and lies along the horizontal axis. In this case, the adjacent side has a length of 8, which corresponds to the absolute value of the -coordinate.

 

Now we can calculate the value of :

 

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