`1/(secalpha-tanalpha)-1/cosalpha=1/cosalpha-1/(secalpha+tanalpha)`

1/(cosalpha+cos3alpha)+1/(cosalpha+cos5alpha)....1/(cosalpha+cos(2n+1)alpha

prove that, |{:(0,cosalpha,-sinalpha),(sinalpha,0,cosalpha),(cosalpha,sinalpha,0):}|^2=|{:(" "1,x,-x),(" "x,1," "x),(-x,x," "1):}| where x= sinalpha cosalpha

Prove the following identities: cot^2alpha(secalpha-1)/(1+sinalpha)+sec^2alpha(sinalpha-1)/(secalpha+1)=0

(sinalpha+secalpha)^(2)+(cosalpha+cosecalpha)^(2)=(K+secalphacosecalpha)^(2) , then K = ?

(sinalpha+cosecalpha)^(2)+(cosalpha-secalpha)^(2)-tan^(2)alpha-cot^(2)alpha=?

(sinalpha + cosalpha)(tanalpha + cotalpha) = secalpha + cosecalpha

(sinalpha + cosalpha)(tanalpha + cotalpha) = secalpha + cosecalpha

Show that secalpha-tanalpha=cot(pi/4+alpha/2)

If 0ltalphaltpi/2 and sinalpha+cosalpha+tanalpha+cotalpha+secalpha+cosecalpha="7, then prove that sin2alpha is a root of the equation x^2-44x-36=0.