[" If the minor of three-one element (i.e."M_(31)" ) in the determinant tan "alpha" -seca tan "alpha" is "1" then find the "],[" value of "alpha.(0<=alpha<=pi)" ."]

If tan alpha.tan2alpha = 1 then find the value of cos2alpha .

If minor of three-one element (i.e.M_(31)) in the determinant [{:(,0,1,sec alpha),(,tan alpha,-sec alpha,tan alpha),(,1,0,1)]:} is 1 then find the value of alpha (0 le alpha le pi).

If minor of three-one element (i.e.M_(31)) in the determinant [{:(,0,1,sec alpha),(,tan alpha,-sec alpha,tan alpha),(,1,0,1)]:} is 1 then find the value of alpha (0 le alpha le pi).

If sin alpha.sinbeta - cos alpha.cos beta+1=0 , then find the value of cot alpha.tan beta .

tan(alpha+beta)=(1)/(2),tan(alpha-beta)=(1)/(3), then find the value of tan2 alpha

If tan alpha= sqrt2-1 then the value of tan alpha-cot alpha = ?

tan (alpha + beta) =1/2, tan(alpha - beta) = 1/3 "then the value of" tan^(2) alpha is-

If cos(alpha+beta)+sin(alpha-beta)=0 and tan beta ne1 , then find the value of tan alpha .

If cos(alpha+beta)+sin(alpha-beta)=0 and tan beta ne1 , then find the value of tan alpha .

Given that tan alpha = (m)/( m +1), tan beta = (1)/(2m +1) then what is the value of alpha + beta?