Mathematics, 23.01.2022 01:10 huwoman

Given: Cosine (x minus y) Equals sine left-brace StartFraction pi Over 2 EndFraction minus (x minus y) right-brace
Equals sine left-brace StartFraction pi Over 2 EndFraction minus x + y right-brace
Equals sine left-brace (StartFraction pi Over 2 EndFraction minus x) + y right-brace
Equals sine left-brace (StartFraction pi Over 2 EndFraction minus x) minus (negative y) right-brace
Equals sine (StartFraction pi Over x EndFraction minus x) cosine (negative y) minus cosine (StartFraction pi Over 2 EndFraction minus x) sine (negative y)
Equals cosine (x) cosine (negative y) minus sine (x) sine (negative y)
Equals cosine (X) cosine (y) + sine (x) sine (y)
Choose a justification for each step in the derivation of the sine difference identity.

Step 1:

Step 2: Distributive property

Step 3: Associative property

Step 4: Factoring out –1

Step 5:

Step 6:

Step 7:

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Given: Cosine (x minus y) Equals sine left-brace StartFraction pi Over 2 EndFraction minus (x minu...

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