" The value of the expression "((tan alpha+sin alpha))/(2cos^(2)alpha/2)" for "alpha=(pi)/(4)" is "

The value of expression (tan alpha+sin alpha)/(2"cos"^(2)(alpha)/(2)) for alpha=(pi)/(4) is :

The value of expression (tan alpha+sin alpha)/(2"cos"^(2)(alpha)/(2)) for alpha=(pi)/(4) is :

The value of expression (1+ sin 2 alpha)/(cos (2 alpha -2pi) tan (alpha -(3pi)/(4)))- 1/4 sin 2 alpha (cot ""(alpha)/(2) + cot ((3pi)/(2)+(alpha)/(2))) is

If tan alpha=2 and alpha in(pi,(3 pi)/(2)), then value of the expression (cos alpha)/(sin^(3)alpha+cos^(3)alpha) is equal to (a)/(b) where a and b are coprimes,then value of b-a is

The value of the expression (1+sin2alpha)/(cos(2alpha-2pi)tan(alpha-(3pi)/4))-1/4sin2alpha(cot""(alpha)/2+cot((3pi)/2+(alpha)/2)) is

The value of the expression (1+sin2alpha)/(cos(2alpha-2pi)tan(alpha-(3pi)/4))-1/4sin2alpha(cot(alpha/2)+cot((3pi)/2+alpha/2)) is

If pi lt alpha lt (3pi)/2 then find the value of expression sqrt(4 sin^4 alpha+ sin^2 2alpha)+ 4 cos^2(pi/4- alpha/2)