The value of `int_0^(pi/2) sin|2x-alpha|dx,` where `alpha in [0,pi],` is (a) `1-cos alpha` (b) `1+cos alpha` (c) `1` (d) `cos alpha`

(cos2 x - cos2 alpha)/(cos x - cos alpha)

IF tan alpha = ( sin alpha - cos alpha )/( sin alpha + cos alpha) , then sin alpha + cos alpha is

If sin alpha + cos alpha = b, then sin 2 alpha is equal to

Prove that 2 sin^2 beta + 4 cos(alpha + beta) sin alpha sin beta + cos 2(alpha + beta) = cos 2alpha

If y = (2 sin alpha )/(1 + cos alpha + sin alpha) then, prove that (1 - cos alpha + sin alpha)/(1 + sin alpha) = y .

If int_0^1 e^(x^2)(x-alpha)dx=0 , then (a) alphalt2 (b)= alphalt0 (c)="" 0ltalphalt1 (d)= alpha="0

The value of the integral int_0^1(dx)/(x^2+2xcosalpha+1) is equal to (a) sinalpha (b) alphasinalpha (c) alpha/(2sinalpha) (d) alpha/2sinalpha

if cos alpha + sin alpha = 3/4 , then sin ^6 alpha + cos ^6 alpha =

The value of (sin(pi-alpha))/(sin alpha-cos alpha tan.(alpha)/(2))-cos alpha is

Let lambda and alpha be real. Then the numbers of intergral values lambda for which the system of linear equations lambdax +(sin alpha) y+ (cos alpha) z=0 x + (cos alpha) y+ (sin alpha) z=0 -x+(sin alpha) y -(cos alpha) z=0 has non-trivial solutions is