To solve for the cosine of 240 degrees, we need to consider in which quadrant the angle 240 degrees is located.
In the unit circle, the angle 240 degrees falls on the third quadrant, which has negative values for both the x-coordinate and y-coordinate.
The cosine function is given by the ratio of the adjacent side to the hypotenuse. In the third quadrant, the adjacent side is negative and the hypotenuse is positive.
Therefore, the cosine of 240 degrees is negative.
cos(240) = -cos(60)
Using the identity cos(60) = 1/2, we can rewrite the expression as:
cos(240) = -(1/2)
So, the cosine of 240 degrees is -1/2.
Solve for the following trigonometric ratios using quadrants.
a) 𝑐𝑜𝑠240
1 answer