Question

Cos 225 degrees
fraction form

Answer 1

-√2/2

Step-by-step explanation:

see pic

cos 225° = 5π/4

225° - 180° = 45

cos 45° = π/4

cos 45° = √2/2

since 225° is In the third quadrant

In the third quadrant, the cosine is negative so

cos 225° = -√2/2

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Answer 2

The cosine of 225 degrees in fraction form is -√2/2.

Step-by-step explanation:

cos 225 degrees fraction form

Solution:

Using the unit circle, we can find the cosine of 225 degrees by looking at the coordinates of the point on the unit circle corresponding to this angle. The point lies in the third quadrant, so the x-coordinate is negative and the y-coordinate is positive. The coordinates are approximately (-√2/2, √2/2).

Since cosine is equal to the x-coordinate of a point on the unit circle, the cosine of 225 degrees can be written as -√2/2.