1. Suppose a fellow student claims that the equation sin(a + b) = sin a + sin b is an identity. He's wondering if you can help because he's not sure how to verify his claim, but says, "It just seems intuitively so." Can you help this student? a. First, understand the student's claim. What does it mean to say that sin(a + b) = sin a + sin b "is an identity"?

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