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Step-by-step explanation:
since I cannot find the symbols of alpha ,beta and gamma I will be assuming the given as a,b and c.
As we can see a+b+c=π/2
b=π/2-(a+c)
a=π/2-(b+c)
c=π/2-(a+b)
Therefore,cot a*cot c=cot (π/2-(b+c))*cot(π/2-(a+b))
=tan(b+c)*tan (a+b)
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