If `sin A = 1/2, cos B = sqrt(3)/2` , where `pi/2 lt A lt pi and 0 lt B lt pi/2`, find that : `tan (A+B)`

If sin A=(1)/(2),cos B=(sqrt(3))/(2), where (pi)/(2)

If cosA=-sqrt(3)/2, sinB=-5/13 , where pi/2 lt A lt pi, (3pi)/(2) lt B lt 2pi , find the value of tan(A-B) .

If 3 cot A =-6, sec B =-2 sqrt10, where pi /2 lt A lt pi , pi lt B lt (3pi)/(2), then cosec A- tan B is equal to

sin A=(1)/(2),cos B=(sqrt(3))/(2), where (pi)/(2)

If tanA=2, secB=-5/3 , where pi lt A lt (3pi)/(2) , pi/2 lt B lt pi , then i) Find the value of tan(A+B) , ii) find the quadrant in which (A+B) terminates.

If sin x=(12)/(13) "and sin " y= (4)/(5) " where " (pi)/(2) lt x lt pi " and " 0 lt y lt .(pi)/(2) find the values of (i) " sin " (x+y) " "(ii) " cos " (x+y) " "(iii) " tan " (x-y)

if cos x=(3)/(5) " and cos " y=(-24)/(25) " where " .(3pi)/(2) lt x lt 2 pi " and " pi lt y lt .(3pi)/(2) find the values of (i) " sin (x+y) "" ""(ii) cos (x-y) "" ""(iii) tan (x+y) "

If sin x =(3)/(5) " and " 0 lt x lt (pi)/(2) find the value of tan (x)/(2)

If (cos A)/3= (cos B)/4= 1/5, - pi/2 lt A lt 0 and - pi/2 lt B lt 0 then the value of 2 sin A + 4 sin B is

If cos A =3/5, cos B=4/5 and (-pi)/(2) lt A lt 0,(-pi)/(2) lt B lt 0, then the value of 2 sin A+4 sin B=