The value of `tan(theta/2)(1+sectheta)(1+sec2theta)+(1+sec2^2theta)....(1+sec2^ntheta)` is

Find the value of tantheta(1+sec2theta)(1+sec4theta)(1+sec8theta) .

Prove that tan2^ntheta/(tantheta) =(1+sec2theta)(1+sec2^2theta) ....(1+sec2^ntheta)

For +ve integer n, let f_n(theta)=tan(theta/2)(1+sectheta)(1+sec2theta)(1+sec4theta)…..(1+sec2^ntheta) then

For a positive integer n, let : f_(n)(theta)=(tan.(theta)/(2))(1+sectheta)(1+sec2theta) (1+sec4theta)....(1+sec2^(n)theta) . Then :

Let f_(n)(theta)= tan""(theta)/2(1+sectheta)(1+sec2theta)(1+sec4theta).....(1+sec2^(n) theta) ,then f_(2)(pi/16)+f_(3)((pi)/32)+f_(4)(pi/64)+f_5(pi/128) =

For positive integer n if f_(n)(theta) = tan ""(theta)/(2) (1 + sec theta) (1+ sec2 theta) (1 + sec4 theta)"…."( 1 + sec2^(n)theta) then find the value of f_(2) ((pi)/(16)) " and " f_(5) ((pi)/(128)) .

For a positive integer n f_(n)(theta)=((tan theta)/(2))(1+sec theta)(1+sec2 theta)(1+sec4 theta)...(1+sec2^(n)theta) ,then

prove that : (tan 2^n theta)/(tan theta) = (1+sec 2theta) (1+ sec 2^2 theta) (1+sec 2^3 theta) … (1+ sec 2^n theta)

prove that : (tan 2^n theta)/(tan theta) = (1+sec 2theta) (1+ sec 2^2 theta) (1+sec 2^3 theta) … (1+ sec 2^n theta)

Find the value of tan theta(1+sec2 theta)(1+sec4 theta)(1+sec8 theta) when theta=(pi)/(32)