Hello! Can you please write the answer in the way the screenshot is listed.

Verify the product-to-sum identities below using the sine sum and difference identities. sin x . cosy = > [ sin (x + y) + sin (x -y)] (1) 1 - cos x . sin y = > [ sin (x + y) - sin (x - y)] (2) Begin with the right side of identity (1). Rewrite this expression using the sine sum and difference identities. [( sin xcos y+ cos xsin y) + (sin xcos y- cos xsin y) ] (List the terms in the same order as they appear in the original list.) Simplify the above expression completely. sin x cos y Now verify identity (2). Rewrite the expression on the right side of this identity using the sine sum and difference identities. 2[ (sin xcos y+ cos xsin y) - ( sin xcos y- cos xsin y) ] (List the terms in the same order as they appear in the original list.) Simplify the above expression completely. cos x sin yVerify the product-to-sum identities below using the sine sum and difference identities. sin x . cosy = > [ sin (x + y) + sin (x -y)] (1) 1 - cos x . sin y = , [ sin (x + y) - sin (x -y)] (2) Begin with the right side of identity (1). Rewrite this expression using the sine sum and difference identities. +()] (List the terms in the same order as they appear in the original list.)