" If "alpha=e^(sin(" then Real "(alpha+alpha^(2)+alpha^(3)+alpha^(*)+alpha^(2))" equals to "):

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

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

int(cos alpha)/(a^(2)+sin^(2)alpha)d alpha is equal to

sin alpha-sin2 alpha+sin3 alpha=4cos(3 alpha)/(2)cos alpha sin(alpha)/(2)

If alpha is a cube of unity , then the value of |{:(alpha,alpha^(3),alpha^(5)),(alpha^(3),alpha^(5),alpha),(alpha^(5),alpha,alpha^(3)):}| is equal to

If alpha is a non-real root of x^(6)=1 then (alpha^(5)+alpha^(3)+alpha+1)/(alpha^(2)+1)=

If alpha=(pi)/(17), then the value of (sin21 alpha-sin alpha)/(sin16 alpha+sin4 alpha) is equal to

(sqrt(2)-sin alpha-cos alpha)/(sin alpha-cos alpha) is equal to