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

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

Prove the following identities: (1-sin alpha+cosalpha)^2=2(1+cos alpha)(1-sin alpha)

Prove the following identities: sinalpha cosalpha(tanalpha-cotalpha)=2sin^2alpha-1

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

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

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

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

Prove that (sinalpha+cosalpha)(tanalpha+cotalpha)=secalpha+"cosec"alpha

If (sinalpha+"cosec"alpha)^(2)+(cosalpha+secalpha)^(2)=k+tan^(2)alpha+cot^(2)alpha then the value of k is

Prove that (1-cosalpha)/sinalpha=tan(alpha/2)