If `0^@ltthetalt180^@` then `sqrt(2+sqrt(2+sqrt(2+...+sqrt(2(1+costheta))))`, then being ` n` number of 2's, is equal to

sqrt(2+sqrt(2+sqrt(2+...*sqrt(2(1+cos2^(n)A)))))=2cos A

Show that: sqrt(2+sqrt(2+sqrt(2+2cos8 theta )))=2costheta,0

Show that sqrt[2+sqrt[2+sqrt[2+2cos8theta]]]=2costheta

(2sqrt(6))/(sqrt(2)+sqrt(3)+sqrt(5)) equals

If costheta=(5)/(13) , then find the value of tan^(2)theta+sec^(2)theta . 0^(@)ltthetalt90^(@)&tantheta=sqrt(6+sqrt(6+sqrt(6+....oo))) , then find the value of sec^(2)theta .