Find the equation of the line for which p = 2 and `sin alpha = 4/5`, where p and `alpha` have usual meaning.

Find the equation of the straight line for which : p=2, cos alpha =3/5 .

Find the derivatives of the following : 3 sin x + 2 sin alpha , where alpha is a constant.

Find the equation of the following curve : x=a+c cos alpha, y=b+c sin alpha , where 0 le alpha< 2 pi , in cartesian form*. In case the curve is a circle, find its centre and radius.

Find the equation of the circle whose centre is (a cos alpha, a sin alpha) and radius is a.

Find the perpendicular form of the equation of the lines from the given values of p and alpha : p=5 and alpha = 135^@ .

Find the perpendicular form of the equation of the lines from the given values of p and alpha : p=3 and alpha = 45^@ .

Find the inclination to the x-axis of the lines : x cos alpha+y sin alpha=p .

Obtain the perpendicular form of the equation of st. lines from the given values of p and alpha : p= 4, alpha=15^@ .

Obtain the perpendicular form of the equation of st. lines from the given values of p and alpha : p=5, alpha=30^@ .

Obtain the perpendicular form of the equation of st. lines from the given values of p and alpha : p= 1, alpha=90^@ .