The continuned fraction `alpha` is defined as `alpha=1+1/(1+1/(1+.....))`. The value of `alpha ` is

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 + cos alpha + sinalpha)/(1 + sin alpha) is equal to

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 - cos alpha + sinalpha)/(1 + sin alpha) is equal to

Let A = [{:("cos"alpha, -"sin"alpha), ("sin"alpha, "cos"alpha"):}], (alpha in R) such that A^(32) = [{:(0, -1), (1, 0):}] . Then, a value of alpha is

If alpha is non real and alpha=1^((1)/(5)) then value of 2^(|1+alpha+alpha^(2)+alpha^(-2)-alpha^(-1)|) is equal to

If 2(sin alpha)/(1+cos alpha+sin alpha)=y then value of (1-cos alpha+sin alpha)/(1+sin alpha) is

If alpha is nonreal and alpha= (1)^(1/5) then the find the value of 2^(|1+alpha+alpha^2+alpha^-2-alpha^-1|)

If alpha is a non-real and alpha=(1)^(1//5) then the value of 2^(|1+alpha+alpha^2+alpha^(-2) +alpha^(-1)|) is equal to

If alpha is non real and alpha=root(5)(1) then value of 2^(|1+alpha+alpha^(2)+alpha^(-2)-alpha^(-1)|) is equal to

cos (n + 1) alpha cos (n-1) alpha + sin (n + 1) alpha sin (n-1) alpha =

The value of (cot^(2)alpha)((sec alpha-1)/(1+sin alpha))+sec^(2)alpha((sin alpha-1)/(1+sec alpha)) is