`(1+ cotalpha + cosecalpha)/(1-cotalpha + cosecalpha)`

(cotalpha+"cosec"alpha-1)/(cotalpha-"cosec"alpha+1)=(1+cosalpha)/(sinalpha)

If (3pi)/4,sqrt(2cotalpha+1/(sin^2alpha)) is equal to 1+cotalpha (b) -1-cotalpha 1-cotalpha (d) -1+cotalpha

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

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

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

If 3π/4<α<π, then sqrt(2cotalpha+1/(sin^2alpha)) is equal to (a) 1+cotalpha (b) -1-cotalpha (c) 1-cotalpha (d) -1+cotalpha

If (3pi)/4 lt alpha lt pi , then sqrt(2cotalpha+1/(sin^2alpha)) is equal to (a) 1-cotalpha (b) 1+cotalpha (c) -1+cotalpha (d) -1-cotalpha

Show that 1+cot^2alpha/(1+cosecalpha)=cosec alpha

If alpha is any real number, then : (sinalpha+cosecalpha)^2+(cosalpha+secalpha)^2-(tan^2alpha+cot^2alpha)=....

Prove the following identities: (sinalpha+cosecalpha)^2+(cosalpha+secalpha)^2=tan^2alpha+cot^2alpha+7