(ax^(2)+sin x)(p+q cos x)

Find the derivative of (a x^2 + sin x)(p + q cos x)

If 'y = tan ^ (^^) (- 1) ((p sin x + q cos x) / (p cos xq sin x))

If P(x) =[(cos x, -sin x),(sin x , cos x)] , then show that P(A) P(B)=P(A+B) .

If p sin(alpha + x) = q sin(alpha + y),"show that", tan alpha=(q sin y -p sinx)/(p cos x - q cos y).

Integral of form (a sin x+b cos x+c)/(p cosx+q sin x+r)

The roots of The roots of both the equation sin^(2)x+p sin x+q=0 and cos^(2)x+r cos x+s=0 are alpha and beta, Then the value of sin(alpha+beta)=

If P(x) = ax^(2) + bx + c and Q(x) = - ax^(2) + dx + c, where ac ne 0 , then P(x) . Q(x) = 0 has at least :

If p = cos x - sin x, q = (1 - sin ^(3) x)/( 1 - sin x) , r = (1 + cos ^(3) x)/( 1 + cos x) what is the value of p + q + r ?