Question
Simplify the expression
cos(2ab)cos(2b−2a)
Evaluate
cos(a×2b)cos(a−2b)
Multiply the terms
cos(2ab)cos(a−2b)
Use cos(u+v)=cosucosv−sinusinv to transform the expression
cos(2ab)(cos(−2b)cos(a)−sin(−2b)sin(a))
Rewrite the expression
cos(2ab)(cos(2b)cos(a)−sin(−2b)sin(a))
Rewrite the expression
cos(2ab)(cos(2b)cos(a)−(−sin(2b)sin(a)))
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
cos(2ab)(cos(2b)cos(a)+sin(2b)sin(a))
Transform the expression
cos(2ab)cos(2b−a)
Solution
cos(2ab)cos(2b−2a)
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