`I=int_0^(2pi) sin(theta + phi) d theta` where `phi` is a constant. The value of `I:`

If (a-b) sin(theta + phi)=(a+b) sin(theta- phi) and atan(theta/2)-btan(phi/2)=c, then find the value of sinphi.

if I=int_0^(pi/4) (sin2theta)/(sin^2theta+cos^4theta)d(theta) then I equals

Prove that cos 2 theta cos 2 phi + sin ^(2) ( theta - phi) -sin ^(2) (theta + phi) = cos ( 2 theta + 2 phi).

If : sin (theta + phi) = 2 sin (theta - phi), "then" : tan theta = A) tan phi B) 2 tan phi C) 3 tan phi D) 4 tan phi

If theta+ phi= alpha , where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(2) and alpha is constant, find the minimum values of sec theta+ sec phi

If theta+ phi= alpha , where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(2) and alpha is constant, find the minimum values of tan theta+ tan phi

If theta and phi lie in the first quadrant such that sin theta =(8)/(17) "and cos " phi =(12)/(13) find the values of (i) " sin"(theta- phi) " "(ii) " cos " (theta + phi) " " (iii) " tan " (theta - phi)