Final answer:
The exact values for cos(240°) and sin(240°) are -1/2 and -√3/2, respectively. These values are derived using the unit circle and the fact that 240° is in the third quadrant where both sine and cosine are negative.
Step-by-step explanation:
To find the values of cos(240°) and sin(240°), we can use the unit circle where the angle is measured from the positive x-axis. The angle of 240° places us in the third quadrant where both sine and cosine values are negative.
cos(240°) = cos(180° + 60°) = -cos(60°) = -½
sin(240°) = sin(180° + 60°) = -sin(60°) = -√3/2
Thus, the exact values are:
- cos(240°) = -½
- sin(240°) = -√3/2