If `r=[2phi+cos^2(2phi+pi/4)]^(1//2)`, then `dr//dphi` at `phi=pi//4`

If r=[2 phi+cos^(2)(2 phi+(pi)/(4))]^(1/2), then dr/d phi at phi=pi/4

If r = [ 2 phi +cos^2(2phi+pi//4)]^(1//2) , then what is the value of the derivative of dr// dphi at phi = pi//4 ?

If latus rectum of ellipse x^(2)tan^(2)phi+y^(2)sec^(2)phi=1 is 1/2, then the value of phi where phi in(0,pi) is

int(2sin2 phi-cos phi)/(6-cos^(2)phi-4sin phi)d phi

If 0

If 0

int_(0)^(pi//2) sqrt(sin phi) cos^(5) phi d phi .

If A = [[cos^2theta, costhetasintheta],[costhetasintheta, sin^2theta]] B= [[cos^2phi, cosphisinphi], [cosphisinphi, sin^2phi]] and theta - phi = (2n+1)(pi)/2 Find AB.

If A = [[cos^2theta, costhetasintheta],[costhetasintheta, sin^2theta]] B= [[cos^2phi, cosphisinphi], [cosphisinphi, sin^2phi]] and theta - phi = (2n+1)(pi)/2 Find AB.

Prove: (sin phi - cos phi) ^(2) =1 - sin 2 phi.