`cosmx=sinnx`

Find the general solution for each of the following equations : (i) cos4x=cos2x (ii) cos3x=sin2x (iii) sin3x+cos2x=0 (iv) sinmx+sinnx=0

Evaluate int cosmx cosnx dx , where m,n are positive integers and m ne n . What happens if m=n?

In each of the following cases, from the differential equation by eliminating the arbitrary constants from the given equation: y=Acosnx+B sinnx, A and B are arbitrary constans.

If the period of (cos(sinnx))/(tan(x/n)), n in N , is 6 pi then n = a)3 b)2 c)6 d)1

lim_(xrarr0)(sinmx)/(sinnx) is :

underset(xrarr0)(lim)(sinnx)/x is equal to

The solution of the differential equation (dy)/(dx)=(ae^"bx"+c cosmx) is

The solution of the differential equation (dy)/(dx)=(ae^"bx"+c cosmx) is