Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4sin(10a)cos(4a)−sin(10a)cos(8a)
Evaluate
cos(a)×2cos(3a)cos(5a)sin(a)×2sin(3a)sin(5a)
Multiply the terms
cos(a)cos(3a)cos(5a)sin(a)sin(3a)sin(5a)×2×2
Multiply the terms
cos(a)cos(3a)cos(5a)sin(a)sin(3a)sin(5a)×4
Use the commutative property to reorder the terms
4cos(a)cos(3a)cos(5a)sin(a)sin(3a)sin(5a)
Transform the expression
4(cos(4a)−cos(8a))sin(10a)
Transform the expression
4sin(10a)cos(4a)−4sin(10a)cos(8a)
Solution
4sin(10a)cos(4a)−sin(10a)cos(8a)
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