If ` sin A = (1)/(2) , cos B = 1, 0 lt A, B le (pi)/(2)` then find the value of (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 tan A = 1 (0^@ lt A lt 90^@ ) and cos B = (1)/(sqrt2)(0^@ lt B lt 90^@) , then find the value of cos (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 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=

If tan A = (sin B)/(1 - cos B) ,then find the value of tan 2A .

If sin (A+B) = 1 and sin (A-B) = 1/2 where AB epsilon[0,(pi)/(2)] . What is the value of B?

If sin (A - B) = 0 , cos (A + B) = 0, 0^(@) lt A + B le 90^(@) , find A and B.

If cos(A-B)=(1)/(2) and sin(A+B)=(1)/(2) then find the smallest value of A and B