[" 5.121"],[" 11."(1+tan alpha*tan beta)^(2)+(tan alpha-tan beta)^(2)=sec^(2)alpha*sec^(2)beta]

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

What is (1+tan alpha tan beta)^2+(tan alpha-tan beta)^2-sec^2 alpha" "sec^2beta equal to?

If 2tan alpha=3tan beta then tan(alpha-beta)=

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

The value of tan^(2)alpha-tan^(2)beta-(1)/(2)sin(alpha-beta)sec^(2)alpha sec^(2)beta is zero if

tan^(If)alpha+2tan alpha*tan2 beta=tan^(2)beta+2tan beta*tan2 alpha

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

If tan(alpha-beta)=(sin2 beta)/(3-cos2 beta) then (a) tan alpha=2tan beta(b)tan beta=2tan alpha(c)2tan alpha=3tan beta(d)3tan alpha=2tan beta

If tan (alpha + beta) = 2 and tan (alpha - beta) = 1, then tan (2 alpha ) is equal to:

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