Find the value of the expression: y = `sqrt(1/2 + 1/2sqrt(1/2 + 1/2sqrt(1/2 + 1/2 cos 8theta)))` when `theta = pi/12`

Prove that sqrt ( 2 + sqrt (2 + sqrt (2 + 2 cos 8 theta))) = 2 cos theta, where theta in [ (-pi)/(8), (pi)/(8)]

Find the general value of theta cos theta = (1)/( sqrt2)

then the value of the expression E=(sqrt(1+tan^(2)theta))/(tan theta)-(sqrt(1+cot^(2)theta))/(cot theta) is equal to

For pi/2

If theta=60^@ then 1/2 sqrt(1+sin theta)+1/2sqrt(1-sin theta)=

Simplify sqrt(1- sin^2theta ) + (1 cos^2theta)

If sin theta=(1)/(sqrt(2)) and cos theta=(1)/(sqrt(2)), then cot theta=?

Find the value of (1)/(tan theta)+(sin theta)/(1+cos theta) if 1+cot^(2)theta=(sqrt(3+2sqrt(2))-1)^(2) ( theta is an acute angle)