[" (1) "4" If "tan x=(3)/(4),pi

If tan x=(3)/(4),pi<=x<(3 pi)/(2), then tan((x)/(2)) is equal to

If tan x= (3)/(4) " where " pi lt x lt (3pi)/( 2), value of tan ""(x)/(2) is

Evaluate : (I ) tan ^(-1) (tan"" (3pi )/(4)) (ii ) tan^(-1) ""( tan "" (pi )/(4))

(tan ((pi)/(4) +4))/( tan ((pi)/(4) -x ))= ((1 + tan x )/( 1- tan x )) ^(2)

(tan ((pi)/(4) +4))/( tan ((pi)/(4) -x ))= ((1 + tan x )/( 1- tan x )) ^(2)

If tan""[(pi)/4 + theta ]+tan[(pi)/(4)- theta ]=a " then " tan^(3)[(pi)/(4)+ theta ] + tan^(3)[(pi)/(4)- theta]=

(tan ((pi)/(4) +x))/( tan ((pi)/(4) -x ))= ((1 + tan x )/( 1- tan x )) ^(2)

(tan ((pi)/(4) +x))/( tan ((pi)/(4) -x ))= ((1 + tan x )/( 1- tan x )) ^(2)

Assertion (A) : If Tan((pi)/(4)+ theta)+Tan ((pi)/(4)- theta)=k then Tan^(3)((pi)/(4)+ theta)+Tan^(3) ((pi)/(4)- theta)=k^(3)-3k Reason (R) : If A+B=(pi)/(2) then Tan A tan B=1

Provet that " tan " ((pi)/(4) +(x)/(2)) + " tan " ((pi)/(4)-(x)/(2)) = " 2 sec x"