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Trigonometric Sum Identity Principle

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How do the sum identities for sine and cosine demonstrate the principle of decomposing a trigonometric expression for a sum of angles into simpler terms?

A

They combine sin⁡A\sin A and sin⁡B\sin B to form a more complex expression sin⁡(A+B)\sin(A + B)

B

They transform trigonometric functions into their equivalent algebraic expressions

C

They break down sin⁡(A+B)\sin(A + B) and cos⁡(A+B)\cos(A + B) into products of individual sine and cosine terms

D

They convert sum identities into product identities without simplification

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