`5sinx-12cosx=-13sin3x, if sinphi=12/13`, then `(a)sin(2x-phi/2)=0 (b)sin(x+phi/2)=0 (c)cos(x+phi/2)=0` `(d)cos(2x+phi/2)=0`

5sin x-12cos x=-13sin3x,quad if sin phi=(12)/(13), then (a)sin(2x-(phi)/(2))=0(b)sin(x+(phi)/ (2))=0(c)cos(x+(phi)/(2))=0(d)cos(2x+(phi)/(2))=0

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

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

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

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

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

If sintheta=12/13 0<(theta)<(pi/2)) and cosphi=-3/5 (pi<(phi)<(3pi)/2) then sin(theta + phi ) will be

cos2 theta cos2 phi+sin^(2)(theta-phi)-sin^(2)(theta+phi)=cos(2 theta+2 phi)

(sin theta-sin phi)^(2)+(cos theta-cos phi)^(2)=4sin^(2)(theta-phi)/(2)