[" Fight affic for "sin^(p)theta*cos^(q)theta" and "(1)/(1-1)theta=tan^(-1)sqrt((p)/(q))],[" if "root(3)(cos theta)(pi)/(8)pi|]

Show that sin^(p)theta cos^(q)theta attains a maximum, when theta=tan^(-1)sqrt((p)/(q))

Show that sin^(p) thetacos^(q)theta attains a maximum when theta=tan^-1sqrt((p/q))

Show that sin^p\ theta\ cos^q\ theta attains a maximum, when theta=tan^(-1)sqrt(p/q) .

Prove that the maximum value of the functions sin^(p)theta cos^(q) is at theta=tan^(-1)(sqrt((p)/(q)))

Show that sin^(P) theta cos^(q) theta attains a maximum value, when theta = tan^(-1) sqrt((p)/(q)) .

Prove that for theta = tan^(-1)sqrt((p)/(q)), sin^(p)theta cos^(q)theta is maximum.

if sin theta+cos theta=p and sin^(3)theta+cos^(3)theta=q, then p(p^(2)-3)

Find sin^(-1)(sin theta)*cos^(-1)(cos theta),tan^(-1)(tan theta),cot^(-1)(cot theta) for theta in((5 pi)/(2),3 pi)

Show that sin^(p) theta cos^(q) theta , p , q in N attains maximum value when theta = tan^(-1) sqrt((p)/(q)) . Identify if it is a global maxima or not .

int((sin theta-cos theta)d theta)/((sin theta+cos theta)sqrt(sin theta cos theta+sin^(2)theta cos^(2)theta))=p tan^(-1)sqrt((sin theta+cos theta)^(q)+r) where p,q,r and c are constants,then 2p+q+2r equals