`sqrt(2+sqrt(2+sqrt(2cos 4 theta))), forall 0 lt theta lt pi//4` is

sqrt(2+sqrt(2+2cos 4 theta)), forall 0 lt theta lt pi//4 is

sqrt(2+sqrt(2+2cos4 theta))

Prove that: sqrt(2+sqrt(2+2cos4 theta))=2cos theta

Show that sqrt(2+sqrt(2 +2 cos 4 theta))= 2 cos theta

value of sqrt(2+sqrt(2+sqrt(2+sqrt(2+2cos16 theta)))) where 0

theta<(pi)/(16),sqrt(2+sqrt(2+sqrt(2+2cos8 theta)))=k cos theta rArr k=

If alpha and beta are roots of x^(2)-(sqrt(1-cos 2 theta))x+theta=0 , where 0 lt theta lt (pi)/2 . Then lim_(theta to 0^(+))(1/(alpha)+1/(beta)) is

int _(0)^(pi//2) (2sqrt(cos theta))/(3(sqrt(sin theta )+ sqrt(cos theta ))) d theta is equal to