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Margaret [11]
3 years ago
6

Which sum or difference identity could be used to prove that cos(270°-theta)=-sin theta is an identity?

Mathematics
2 answers:
poizon [28]3 years ago
8 0

For this case we have that by definition:

cosine (a-b) = Cosine (a) * cosine (b) + sine (a) * sine (b)

If we want to solve cosine (270-theta)then:

cosine (270-theta) =\\cosine (270) * cosine (theta) + sine (270) * sine (theta) =

We know that:

cosine (270) = 0\\sine (270) = - 1

Substituting:

cosine (270) * cosine (theta) + sine (270) * sine (theta) =\\0 + (- 1 * sine (theta)) =\\-sine (theta)

Answer:

cosine (a-b) = Cosine (a) * cosine (b) + sine (a) * sine (b)

denis23 [38]3 years ago
4 0

Answer:

Your answer would be B.

Step-by-step explanation:


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