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1
y=a*ctg(bx+c)
a=none
periodicity of cot is pi
period=periodicity/|b|..........in your case b=2/3
period=pi/|2/3|=3pi/2
2.
amplitude=none
periodicity of csc is 2pi
period=periodicity/|b|..........in your case b=2
period=2pi/|2|=pi