If `t a nalpha=5/2`, `tanbeta=-7/9` where `alpha in [pi/2,pi]` , then `alpha+beta` lies in the interval. `[(3pi)/2,(7pi)/3]` (b) `[(13pi)/6,(5pi)/2]` `[(13pi)/6,(7pi)/3]` (d) `[pi/6,pi/3]`

If tan alpha=(5)/(2),tan beta=-(7)/(9) where alpha in[(pi)/(2),pi], then alpha+beta lies in the interval.[(3 pi)/(2),(7 pi)/(3)] (b) [(13 pi)/(6),(5 pi)/(2)][(13 pi)/(6),(7 pi)/(3)] (d) [(pi)/(6),(pi)/(3)]

If 2|sin2alpha|=|tanbeta+cotbeta|,alpha,beta in (pi/2,pi), then the value of alpha+beta is (a) (3pi)/4 (b) pi (c) (3pi)/2 (d) (5pi)/4

If 2|sin2alpha|=|tanbeta+cotbeta|,alpha,beta in (pi/2,pi), then the value of alpha+beta is (a) (3pi)/4 (b) pi (c) (3pi)/2 (d) (5pi)/4

If 2|sin2alpha|=|tanbeta+cotbeta|,alpha,beta in (pi/2,pi), then the value of alpha+beta is (a) (3pi)/4 (b) pi (c) (3pi)/2 (d) (5pi)/4

cos^(-1)(cos((7pi)/6)) is equal to (A) (7pi)/6 (B) (5pi)/6 (C) pi/3 (D) pi/6

If roots of the equation 2x^2-4x+2sintheta-1=0 are of opposite sign, then theta belongs to (pi/6,(5pi)/6) (b) (0,pi/6)uu((5pi)/6,pi) ((13pi)/6,(17pi)/6) (d) (0,pi)

If roots of the equation 2x^2-4x+2sintheta-1=0 are of opposite sign, then theta belongs to (pi/6,(5pi)/6) (b) (0,pi/6)uu((5pi)/6,pi) ((13pi)/6,(17pi)/6) (d) (0,pi)

If roots of the equation 2x^2-4x+2sintheta-1=0 are of opposite sign, then theta belongs to (pi/6,(5pi)/6) (b) (0,pi/6)uu((5pi)/6,pi) ((13pi)/6,(17pi)/6) (d) (0,pi)

If t a nalpha=x/(x+1) and t a nbeta=1/(2x+1) , then alpha+beta is equal to (a) pi//2 (b) pi//3 (c) pi//6 (d) pi//4

The solution set of the equation 4s int h eta cos theta-2cos theta-2sqrt(3)s int_(h eta)+sqrt(3)=0 in the interval (0,2 pi) is {(3 pi)/(4),(7 pi)/(4)} (b) {(pi)/(3),(5 pi)/(3)}{(3 pi)/(4),pi,(pi)/(3)(5 pi)/(3)}(d){(pi)/(6),(5 pi)/(6),(11 pi)/(6)}