Final answer:
sin(330°) is -1/2 and cos(330°) is √3/2, as it falls in the fourth quadrant with the same sine and cosine values as 30 degrees, but with the sine being negative.
Step-by-step explanation:
To find sin(t) and cos(t) when t=330 degrees, we can use the unit circle or trigonometric ratios for common angles. The angle of 330 degrees is located in the fourth quadrant of the unit circle, where cosine is positive and sine is negative.
To find the exact values, remember that 330 degrees is 30 degrees short of a full circle (360 degrees), which means it has the same sine and cosine values as 30 degrees but with different signs because of its position in the fourth quadrant. Therefore:
- sin(330°) = -sin(30°) = -1/2
- cos(330°) = cos(30°) = √3/2
The sin(t) at 330 degrees is -1/2, and the cos(t) is √3/2.