(1+sin alpha)/(1-sin theta)=tan^(2)((pi)/(4)+(9)/(2))

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

Prove that :(1+sin theta)/(1-sin theta)=tan^(2)((pi)/(4)+(theta)/(2))

Prove that : (1+ sin theta)/(1-sin theta) = tan^2 (pi/4 + theta/2)

Prove that (1+sin theta)/(1-sin theta)=tan^2(pi/4+theta/2)

If tan((pi)/(4)+(theta)/(2))=tan^(3)((pi)/(4)+(alpha)/(2)) then sin(theta)=(sin(alpha)(3+sin^(2)(alpha)))/(1+3sin^(2)(alpha))

Show that : (1+ tan theta/2)/(1-tan theta/2) = (1+sin theta)/(cos theta) = tan (pi/4 + theta/2)

Prove that for real x, (tan(x+alpha))/(tan(x-alpha)) where alpha ne pi/4, 3pi/4 cannot lies between (1- sin2 alpha)/(1+ sin 2alpha) and (1+ sin2 alpha)/(1- sin 2alpha) .

(1-tan^(2)((pi)/(4)-theta))/(1+tan^(2)((pi)/(4)-theta))=sin2 theta

The expression (sin alpha+cos alpha)/(cos alpha-sin alpha) tan((pi)/(4)+alpha)+1, alpha in (-(pi)/(4), (pi)/(4)) simplifies to :

The expression (sin alpha+cos alpha)/(cos alpha-sin alpha) tan((pi)/(4)+alpha)+1, alpha in (-(pi)/(4), (pi)/(4)) simplifies to :