If `Sin(x+alpha)/cos(x-alpha)=(1-m)/(1+m)`, prove that `tan(pi/4-x)tan(pi/4-alpha)=m`

If (sin(theta+alpha))/(cos(theta-alpha))=(1-m)/(1+m) , prove that tan(pi/4-theta)tan(pi/4-alpha)=m

If sin(theta+alpha)/(cos(theta-alpha))=(1-m)/(1+m) Prove that tan(pi/4-theta)tan(pi/4-alpha)=m .

If (sin(theta+alpha))/(cos(theta-alpha))=(1-m)/(1+m) prove that tan((pi/4)-theta)tan((pi/4)-alpha)=m

If (sin(theta+alpha))/(cos(theta-alpha))=(1-m)/(1+m), prove that tan((pi)/(4)-theta)tan((pi)/(4)-alpha)=m

If (sin (theta+alpha))/(cos (theta-alpha))= (1-m)/(1+m) , prove that : tan (pi/4- theta) tan (pi/4- alpha)=m .

Suppose that alpha-beta is not an odd multiple of (pi)/2, m in R-{0,-1} an (sin (alpha+beta))/(cos(alpha-beta))=(1-m)/(1+m) . Then show that tan((pi)/4-alpha)=mtan((pi)/4+beta)

If (sin(A+B))/(cos(A-B))=(1-m)/(1+m) ,then tan(pi/4-A)tan(pi/4-B)=?

Assertion (A) : Suppose that alpha- beta is not an odd multiple of (pi)/(2) , m in R-{0,1) and (sin (alpha+beta))/(cos (alpha-beta))=(1-m)/(1+m) then Tan ((pi)/(4)-alpha)=m cot ((pi)/(4)- beta) Reason (R) : for all C,D, & R cos c+cos D= 2 cos ((C+D)/(2)) cos((C-D)/(2)) cos-cosD=-2sin ((C+d)/(2))sin ((C-D)/(2))

If ( sin ( theta + alpha ))/( cos ( theta - alpha ))=(1- m)/(1+m) , " then " tan"((pi)/4- theta )=

If (sin (theta+ alpha))/(cos (theta- alpha))=(1-M)/(1+M) then Tan ((pi)/(4)- theta). Tan ((pi)/(4)- alpha)=