The value of `tanalpha+2tan(2alpha)+4tan(4alpha)+...+2^(n-1)tan(2^(n-1)alpha)+2^(n)cot(2^(n)alpha)` is

If 4nalpha=pi , then the numerical value of tanalpha, tan2alpha,tan3alpha.....tan(2n-1)alpha is equal to

If 2n alpha= pi/2, then show that tan alpha tan 2 alpha tan 3 alpha.... Tan (2n-2) alpha tan (2n-1) alpha=1

If alpha=pi/(14), then the value of (tanalphatan2alpha+tan2alphatan4alpha+tan4alphatanalpha) is 1 (b) 1//2 (c) 2 (d) 1//3

If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cotalpha)-cot^(-1)(tanalpha)+sin^(-1)(sinalpha)+cos^(-1)(cosalpha) is equal to

If tan alpha + cot alpha=2 , then the value of tan^(13) alpha +cot^(13) alpha is

Prove that: t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha

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

Which of the following identities, wherever defined, hold(s) good? (a)cotalpha-tanalpha=2cot2alpha (b)tan(45^0+alpha)-tan(45^0-alpha)=2cos e c2alpha (c)tan(45^0+alpha)+tan(45^0-alpha)=2sec2alpha (d)tanalpha+cotalpha=2tan2alpha

If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is (a) -tan(alpha/2)cot(beta/2) (b) tan(alpha/2)tan(beta/2) (c) -cot((alphabeta)/2)tan(beta/2) (d) cot(alpha/2)cot(beta/2)

The value of (alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec^2(1/2tan^(-1)(beta/alpha))i se q u a lto (alpha+beta)(alpha^2+beta^2) (b) (alpha+beta)(alpha^2-beta^2) (alpha+beta)(alpha^2+beta^2) (d) none of these