`(tan alpha+cosec beta)^2-(cot beta -sec alpha)^2=2 tan alpha cot beta (cosec alpha+sec beta)`

tan alpha=cot beta=a, find (alpha+beta)

If tan 2alpha = cot 2beta , then sec(alpha + beta) =

Prove the following identity: (1+tan alpha tan beta)^(2)+(tan alpha)(tan alpha-tan beta)^(2)=sec^(2)alpha sec^(2)beta

(sec alpha * sec beta + tan alpha tan beta )^(2)-( sec alpha * tan beta + tan alpha * sec beta )^(2) =

Prove that (tan alpha+tan beta)/(cot alpha+cot beta)=tan alpha tan beta

Prove that: tan^(-1){(cos2 alpha sec2 beta+cos2 beta sec2 alpha)/(2)}=tan^(-1){tan^(2)(alpha+beta)tan^(2)(alpha-beta)}+tan

If x sec alpha+y tan alpha=x sec beta+y tan beta=a , then sec alpha*sec beta=

If (sec alpha+tan alpha)(sec beta+tan beta)(sec gamma+tan gamma)=tan alpha tan beta tan gamma, then (sec alpha-tan alpha)(sec beta-tan beta)(sec gamma-tan gamma)=

If (secalpha+tanalpha)(secbeta+tanbeta)(secgamma+tangamma)=tanalphatanbetatangamma , then (secalpha-tanalpha)(secbeta-tanbeta)(secgamma-tangamma)= ........................ (A) cot alpha cot beta cot gamma (B) tan alpha tan beta tan gamma (C) cot alpha + cot beta + cot gamma (D) tan alpha +tan beta + tan gamma