(sin α cos β - cos α sin β)(sin α cos β + cos α sin β) (Type the terms of your expression in the same order...

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(sin α cos β - cos α sin β)(sin α cos β + cos α sin β)
(Type the terms of your expression in the same order as they appear in the original expression.)
Use the distributive property to simplify the expression from the previous step.

SnapAndSolve AI · Accepted Answer

Step 1: Use the distributive property (FOIL method) to expand the expression: (sin α cos β)(sin α cos β) = sin² α cos² β (sin α cos β)(cos α sin β) = sin α cos α sin β cos β (-cos α sin β)(sin α cos β) = -sin α cos α sin β cos β (-cos α sin β)(cos α sin β) = -cos² α sin² β Step 2: Combine like terms:sin² α cos² β - cos² α sin² βThis simplifies to:Answer: cos²(α - β)

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(sin α cos β - cos α sin β)(sin α cos β + cos α sin β) (Type the terms of your expression in the same order...

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