Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
450sin2(2a)
Evaluate
10cos(a)×4sin(a)×26sin(a)×5cos(a)×3
Divide the terms
More Steps
Evaluate
26
Reduce the numbers
13
Calculate
3
10cos(a)×4sin(a)×3sin(a)×5cos(a)×3
Multiply the terms
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Evaluate
10×4×3×5×3
Multiply the terms
40×3×5×3
Multiply the terms
120×5×3
Multiply the terms
600×3
Multiply the numbers
1800
1800cos(a)sin(a)sin(a)cos(a)
Multiply the terms
More Steps
Evaluate
cos(a)sin(a)sin(a)cos(a)
Multiply the terms
cos(a)sin2(a)cos(a)
Multiply the terms
cos2(a)sin2(a)
Multiply the terms
(cos(a)sin(a))2
1800(cos(a)sin(a))2
Rewrite the expression
1800(2sin(2a))2
Solution
450sin2(2a)
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