If `sin A=3/5 and cos B = 9/41, 0 lt A lt pi/2 and 0 lt B lt pi/2`. Find the values of that : `sin (A+B)`

If sinA=3/5 and cosB=9/41, 0 < A < pi/2 and 0 < B < pi/2 then find the values of (i) sin(A+B) (ii) sin(A-B) (iii) cos(A+B) (iv) cos(A-B)

If 0 lt x lt pi/2 then

If 0 lt x lt pi /2 then

If tanA=3/4 , cosB=9/(41) , where pi lt A lt (3pi)/2 and 0 lt B lt pi/2 , find tan(A+B)

If sinA=3/5, 0 lt A lt pi/2 and cosB=-12/13, pi lt B lt (3pi)/2 , then find the values of the following: (i) sin(A-B)

If sinA=1/2,cosB=(sqrt(3))/2 , where pi/2 lt A lt pi and 0 lt B lt pi/2 find tan(A+B)

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 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 sin x = 1/4 , pi/2 lt x lt pi , find the values of cos\ x/2 and tan\ x/2 .

If 0 lt x lt 2 pi and |cos x| le sin x , then