Question
Simplify the expression
128csc5(2x)
Evaluate
(sin4(x)cos4(x))24sin3(x)cos3(x)
Multiply the terms
((sin(x)cos(x))4)24sin3(x)cos3(x)
Evaluate the power
More Steps

Evaluate
((sin(x)cos(x))4)2
Transform the expression
(sin(x)cos(x))4×2
Multiply the numbers
(sin(x)cos(x))8
(sin(x)cos(x))84sin3(x)cos3(x)
Factor the expression
sin8(x)cos8(x)4sin3(x)cos3(x)
Reduce the fraction
More Steps

Calculate
sin8(x)sin3(x)
Use the product rule aman=an−m to simplify the expression
sin8−3(x)1
Subtract the terms
sin5(x)1
sin5(x)cos8(x)4cos3(x)
Reduce the fraction
More Steps

Calculate
cos8(x)cos3(x)
Use the product rule aman=an−m to simplify the expression
cos8−3(x)1
Subtract the terms
cos5(x)1
sin5(x)cos5(x)4
Multiply the terms
(sin(x)cos(x))54
Transform the expression
(2sin(2x))54
Rewrite the expression
32sin5(2x)4
Multiply by the reciprocal
4×sin5(2x)32
Multiply the terms
sin5(2x)4×32
Multiply the terms
sin5(2x)128
Solution
128csc5(2x)
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