((pi)/(4),(pi)/(2))" and "sum_(n=1)^(oo)(1)/(tan^(n)theta)=sin theta+cos theta" then "tan theta=

If theta in (pi//4, pi//2) and sum_(n=1)^(oo)(1)/(tan^(n)theta)=sin theta + cos theta , then the value of tan theta is

If theta in (pi//4, pi//2) and sum_(n=1)^(oo)(1)/(tan^(n)theta)=sin theta + cos theta , then the value of tan theta is

If theta in (pi//4, pi//2) and sum_(n=1)^(oo)(1)/(tan^(n)theta)=sin theta + cos theta , then the value of tan theta is

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

S_(1) : If tan p theta = cot q theta " then " theta = ((2 n + 1) pi)/( p (P + q)), n in Z S_(2) : If tan (pi sin theta ) = cot (pi cos theta) , " then " sin (theta + (pi)/(4)) = pm (1)/(2 sqrt(2))

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

f theta_(1),theta_(2),theta_(3),theta_(4),theta_(5)in(0,(pi)/(2)), satisfying tan theta_(1)tan theta_(2)tan theta_(3)tan theta_(4)tan theta_(5)=1 then maximum_(2 value of )theta_(3)tan theta_(4)cos theta_(5) is cos theta_(1)cos theta_(2)cos theta_(3)cos theta_(4)cos theta_(5) is