I=int_(0)^( pi)sin(theta+phi)d theta," where "phi" is non zero constant then the value of "I" : "

I=int_(0)^(2 pi)sin(theta+phi)d theta where phi is a constant The value of I:

If sin theta=5sin(theta+phi) then tan(theta+phi)=

I=int_(0)^( pi/4)(sin2 theta)/(sin^(2)theta+cos^(4)theta)d theta

If sin theta =(15)/(17) " and cos " phi = (12)/(13) where theta " and " phi both lie in the first quadrant find the values of (i) " sin " (theta + phi) " " (ii) " cos " (theta - phi) " " (iii) " tan " ( theta + phi)

If " sin " theta =(3)/(5) " and cos " phi =(-12)/(13) " where " theta " and " phi both lie in the second quadrant find the values of (i) " sin ' (theta- phi) " " (ii) " cos " (theta + phi) " " (iii) " tan " (theta - phi)

If "sin" theta=(3)/(5),cos phi=-(12)/(13) , where theta and phi both lie in second quadrant, find the value of "sin"(theta+phi) .

If cos theta =(4)/(5) " and cos " phi =(12)/(13) " where " theta " and " phi both lie in the fourth quadrant find the values of (i) " cos " (theta + phi) " " (ii) " sin " (theta -phi) " ' (iii) " tan " (theta + phi)

If theta+phi=(pi)/(3) where theta and phi are positive angles, then the maximum value of tan theta tan phi is equal to