Prove that the distance of the point `(a sin alpha, a sin alpha)` from the origin is independent of `alpha`.

Prove that the distance of the point (a cos alpha, a sin alpha) from the origin is independent of alpha

The distance of a point (alpha, beta) from the origin is ....

If sin(x +3alpha)=3 sin (alpha-x) , then

Find the length of perpendicular from the point (a cos alpha, a sin alpha) to the line x cos alpha+y sin alpha=p .

int sqrt(sin(x-alpha)/sin(x+alpha)) dx

Prove that : 2 sin^2 theta + 4 cos (theta + alpha) sin alpha sin theta + cos 2 (alpha + theta) is independent of theta.

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

The expression nsin^(2) theta + 2 n cos( theta + alpha ) sin alpha sin theta + cos2(alpha + theta ) is independent of theta , the value of n is

Prove that sin ( alpha + 30^(@)) = cos alpha + sin (alpha - 30^(@))

Prove that the equation of a line passes through the point (a cos^(3)alpha , a sin^(3)alpha ) and perpendicular to the line x tan alpha+y=a sin alpha is x cos alpha-y sin alpha-a cos 2 alpha .