`cotalpha+cot(60+alpha)-cot(60-alpha)=3cot3alpha`

(1)/(tan3 alpha-tan alpha)-(1)/(cot3 alpha-cot alpha)=cot2 alpha

1/(tan3alpha-tanalpha)-1/(cot3alpha-cotalpha)=cot2alpha

If 4n alpha=pi then cot alpha cot2 alpha cot3 alpha...cot(2n-1)alpha n in Z is equal to

If (3 pi)/(4)

If 4nalpha=pi , then cotalpha cot2alpha cot3alpha.... cot(2n-1)alpha is equal to

(tan alpha sec^(2)alpha+cot alpha cos ec^(2)alpha)-(tan alpha+cot alpha)=2cos ec2 alpha[sec^(2)alpha+cos ec^(2)alpha-3]

(1+cot alpha+cos ec alpha)/(1-cot alpha+cos ec alpha)=

(1+cot alpha+cos ec alpha)/(1-cot alpha+cos ec alpha)

(1+cot alpha+cos ec alpha)/(1-cot alpha+cos ec alpha)=

If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alpha n in Z is equal to