Question

Simplify: Sin(A+B) Sin(A-B)

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

sin(A+B)= sin A cos B + cos A sin B

sin(A-B)= sin A cos B - cos A sin B

Sin(A+B) Sin(A-B)=(sin A cos B + cos A sin B)(sin A cos B - cos A sin B)

= sin²A cos²B-(sin A cos B)(cos A sin B)+(cos A sin B)(sin A cos B)-cos²A sin²B

= sin²A cos²B-(sin A cos B)(cos A sin B)+(sin A cos B)(cos A sin B)-cos²A sin²B

Sin(A+B) Sin(A-B)=sin²A cos²B-cos²A sin²B