Is it ever possible that sin (A+B) = ⁡ (A+B) = sin⁡ A+sin⁡ B?

If so, explain how. If not, explain why not.

Question

Mathematics

Terrence Murphy

28 May, 01:35

Is it ever possible that sin (A+B) = ⁡ (A+B) = sin⁡ A+sin⁡ B?

If so, explain how. If not, explain why not.

+4

Answers (1)

Know the Answer?

Tia Warner · Answer 1

It will always be the case when A and B are opposites

Step-by-step explanation:

sin (x) = - sin (-x) so ...

sin (A - A) = (A - A) = sin (A) - sin (A) = 0

That is, the given expression is true when B=-A.

Is it ever possible that sin (A+B) = ⁡ (A+B) = sin⁡ A+sin⁡ B?If so, explain how. If not, explain why not.

Is it ever possible that sin (A+B) = ⁡ (A+B) = sin⁡ A+sin⁡ B?

If so, explain how. If not, explain why not.