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[(4quad 4)],[tan((pi)/(4)+(x)/(2))=sec x...

[(4quad 4)],[tan((pi)/(4)+(x)/(2))=sec x+tan x]

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

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

(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 0 lt x lt (pi)/(2) , then find tan ((pi)/(4)+ (x)/(2) ) + tan ((pi)/(4) - (x)/(2) )

(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)

tan((pi)/(4)+(x)/(2))+tan((pi)/(4)-(x)/(2))=2 then the general solution of x=

" tan " ((pi)/(4) -x) =(1 - tan x)/( 1+ tan x)

(sec2x-tan2x) equals a tan(x-(pi)/(4))b)tan((pi)/(4)-x)c cot(x-(pi)/(4))d tan^(2)(x+(pi)/(4))