On a unit circle, what is tan for coordinates (-√2/2, √2/2)? a.) -1
b.) -√2/2
c.) 1
d.) √2/2
e.)√2

A

Step-by-step explanation:

Remember that tangent is the ratio of sine over cosine.

In the unit circle:

Our x-coordinate is -√2/2 and our y-coordinate is √2/2.

So, substitute -√2/2 for cosine and √2/2 for sine. This yields:

Since the numerator and the denominator are the same save for a negative, we can cancel them:

So, our answer is A.

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