" 6."cot alpha+cot(60^(@)+alpha)-cot(60^(@)-alpha)=3cot3 alpha

If (cot alpha+cot(270^(@)+alpha))/(cot alpha-cot(270^(@)+alpha))-2 cos(135^(@)+alpha)cos(315^(@)-alpha)=lambda , where alpha in (0, (pi)/(2)) , then lambda=

If (cot alpha+cot(270^(@)+alpha))/(cot alpha-cot(270^(@)+alpha))-2 cos(135^(@)+alpha)cos(315^(@)-alpha)=lambda , where alpha in (0, (pi)/(2)) , then lambda=

If (3 pi)/(4)

(tan (45^(@) + alpha ) + tan ( 45^(@) - alpha ))/( cot (45^(@) + alpha ) + cot ( 45^(@) - alpha ))=

(tan(45^(@)+alpha)-tan(45^(@)-alpha))/(cot(45^(@)+alpha)-cot(45^(@)-alpha))=

If (3 pi)/(4)

Prove that: (tan^(3)alpha)/(1+tan^(2)alpha)+(cot^(3)alpha)/(1+cot^(2)alpha)=sec alpha cosec alpha-2sin alpha cos alpha

If cot^3alpha +cot ^2 alpha + cot alpha =1 then

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

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