`tan (pi/12)+tan(pi/6)+tan(pi/12)tan(pi/6)`=1

tan((11pi)/12)

If tan (pi/12 - x) , tan (pi/12) , tan (pi/12 + x) in G.P. then sum of all the solutions in [0,314] is k pi . Find k

(cos(pi/12)-sin(pi/12))(tan(pi/12)+cot(pi/12))=

Prove that: (tan(pi/4+A)+tan(pi/4-A))/(tan(pi/4+A)-tan(pi/4-A))="cosec"2A

Find the exact value of the expression tan(pi/20)-tan((3pi)/20)+tan((5pi)/20)-tan((7pi)/20)+tan((9pi)/20).

Evaluate each of the following: tan^(-1)(tanpi/3) (ii) tan^(-1)(tan(6pi)/7) (iii) tan^(-1)(tan(7pi)/6)

The absolute value of the expression tan(pi/(16))+tan((5pi)/(16))+tan((9pi)/(16))+tan((13pi)/(16)) is ______

If y=(x^4-x^2+1)/(x^2+sqrt(3)x+1) and (dy)/(dx)=a x+b , then the value of a+b is (a) cot(pi/8) (b) cot((5pi)/12) (c) tan((5pi)/12) (d) tan((5pi)/8)

tan^2 (pi/16) + tan^2 ((2pi)/16) + tan^2((3pi)/16).........+tan^2((7pi)/16/)=35

Find the value of tan. pi/20tan. (3pi)/20tan. (5pi)/20tan. (7pi)/20tan. (9pi)/20 .