`int \ ((3sinphi-2) \ cosphi)/(5-cos^2phi-4sinphi) \ d phi`

int((3sin phi-2)cos phi)/(5-cos phi-4sin phi)d phi

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

int((3sin phi-2)backslash cos phi)/(5-cos^(2)phi-4sin phi)backslash d phi

(1+sin phi+i cos phi)/((1+sin phi-i cos phi)^(n))=cos(n(pi)/(2)-n phi)+i sin(n(pi) /(2)-n phi)

If theta-phi=pi/2, prove that, [(cos^2 theta,cos theta sin theta),(cos theta sin theta,sin^2 theta)] [(cos^2 phi,cos phi sin phi), (cos phi sin phi,sin^2 phi)]=0

phi is an acute angle such that tan phi=(2)/(3) then evaluate ((1+tan phi)/(sin phi+cos phi))*((1-cot phi)/(sec phi+csc phi ))

If A=[(cos^2theta,costheta sintheta),(cos theta sintheta, sin^2theta)] and B=[(cos^2 phi, cos phi sin phi),(cos phisinphi,sin^2phi)], show that AB is zero matrix if theta and phi differ by an odd multiple of pi/2.

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