Using the method of differentiation deduce the formula of :
`sin(x+alpha)` starting from the formula of `cos(x+alpha)`

Using the method of differentiation deduce the formula of : sin2x starting from the formula of cot2x .

Using the method of differentiation deduce the formula of : cos(x+a) starting from the formula of sin(x+alpha)

Using the method of differentiation deduce the formula of cos2x starting the formula of tan2x.

From the formula of sin (A + B), deduce the formulae of cos(A + B) and cos (A-B).

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

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

Differentiate tan^(-1) ((x sin alpha)/(1-x cos alpha))

Show that the equation of the straight line x cos alpha+y sin alpha=p can be expressed in the following form (x-p cos alpha)/(-sin alpha)=(y-psi n alpha)/(cos alpha)=r

int(cos alpha)/(sin x cos(x-alpha))dx=

The differential equation for y = A cos alpha x + B sin alpha x Where A and B are arbitary constants is