Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2sin(4α)
Evaluate
tan(2α)cos(2α)cot(2α)sin(2α)
Use tant=costsint to transform the expression
cos(2α)sin(2α)×cos(2α)cot(2α)sin(2α)
Use cott=sintcost to transform the expression
cos(2α)sin(2α)×cos(2α)×sin(2α)cos(2α)×sin(2α)
Multiply the terms
cos(2α)sin(2α)×cos(2α)sin(2α)×sin(2α)cos(2α)
Multiply the terms
More Steps
Multiply the terms
cos(2α)sin(2α)×cos(2α)sin(2α)
Cancel out the common factor cos(2α)
sin(2α)sin(2α)
Multiply the terms
sin2(2α)
sin2(2α)×sin(2α)cos(2α)
Cancel out the common factor sin(2α)
sin(2α)cos(2α)
Use sin(2t)=2sintcost to transform the expression
2cos(α)sin(α)cos(2α)
Solution
2sin(4α)
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