If vector ` vec b=(t a nalpha,-1, 2sqrt(sinalpha//2))a n d vec c=(t a nalpha, t a nalpha, -3/(sqrt(sinalpha//2)))` are orthogonal and vector ` vec a=(1,3,sin2alpha)` makes an obtuse angle with the z-axis, then the value of `alpha` is

If cot(alpha+beta)=0\ t h e n\ "sin"(alpha+2beta) is equal to a. sinalpha b. cos2beta c. cosalpha d. sin2alpha

If costheta=(cosalpha cosbeta)/(1-sinalphasinbeta) , prove that one value of t a ntheta/2=(t a nalpha/2-t a nbeta/2)/(1-t a nalpha/2 t a nbeta/2)

Let vec a\ a n d\ vec b be two unit vectors and alpha be the angle between them, then vec a+ vec b is a unit vectors, if

If 2\ t a nalpha=3t a nbeta, prove that tan(alpha-beta)=(sin2beta)/(5-cos2beta)

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

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

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

Statement 1: If vec ua n d vec v are unit vectors inclined at an angle alphaa n d vec x is a unit vector bisecting the angle between them, then vec x=( vec u+ vec v)//(2sin(alpha//2)dot Statement 2: If "Delta"A B C is an isosceles triangle with A B=A C=1, then the vector representing the bisector of angel A is given by vec A D=( vec A B+ vec A C)//2.

If 2t a nalpha/2=tan(beta/2) , prove that cosalpha=(3+5cosbeta)/(5+3cosbeta)

The value of tan alpha +2tan(2alpha)+4tan(4alpha)+...+2^(n-1)tan(2^(n-1)alpha)+2^ncot(2^nalpha) is