Question
Simplify the expression
(sin(b)sin(c)sin(a))2(cos(b)cos(c)cos(a))2
Evaluate
cot(a)cot(b)cot(b)cot(c)cot(c)cot(a)
Multiply the terms
cot(a)cot2(b)cot(c)cot(c)cot(a)
Multiply the terms
More Steps

Evaluate
cot(a)cot2(b)cot(c)cot(c)
Multiply the terms
cot(a)cot2(b)cot2(c)
Multiply the terms
cot(a)(cot(c)cot(b))2
cot(a)(cot(c)cot(b))2cot(a)
Multiply the terms
cot2(a)(cot(c)cot(b))2
Multiply the terms
(cot(a)cot(c)cot(b))2
Transform the expression
More Steps

Evaluate
cot(a)cot(c)cot(b)
Calculate
sin(a)cos(a)×cot(c)cot(b)
Calculate
sin(a)cos(a)×sin(c)cos(c)×cot(b)
Calculate
sin(a)cos(a)×sin(c)cos(c)×sin(b)cos(b)
Calculate
sin(a)sin(c)sin(b)cos(a)cos(c)cos(b)
(sin(a)sin(c)sin(b)cos(a)cos(c)cos(b))2
Simplify
sin2(a)sin2(c)sin2(b)cos2(a)cos2(c)cos2(b)
Solution
(sin(b)sin(c)sin(a))2(cos(b)cos(c)cos(a))2
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