`(1+sinalpha)/(1+cosalpha) . (1+secalpha)/(1+cosecalpha)=tanalpha`

Prove that (sinalpha)/(1+cosalpha)+(1+cosalpha)/(sin alpha)=2"cosec "alpha .

If (2sinalpha)/(1+cosalpha+sinalpha) =x, then (1-cosalpha+sinalpha)/(1+sinalpha) =

The set of all possible values of alpha in [-pi,pi] such that sqrt((1-sinalpha)/(1+sinalpha)) is equal to sec alpha-tanalpha, is

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

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

If π<α<3π2 then sqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosalpha)) is equal to (a) 2/(sinalpha) (b) -2/(sinalpha) (c) 1/(sinalpha) (d) -1/(sinalpha)

If pi,t h e nsqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosalpha)) is equal to 2/(sinalpha) (b) -2/(sinalpha) (c) 1/(sinalpha) (d) -1/(sinalpha)

If (2sinalpha)/({1+cosalpha+sinalpha})=y , then ({1-cosalpha+sinalpha})/(1+sinalpha) =

If 0^(@)ltalphalt90^(@) , then solve the equation (sinalpha)/(1-cosalpha)+(sinalpha)/(1+cosalpha)=4 .