If `sinA=1/2,cosB=(12)/(13), w h e r e ` `pi < A < (3pi)/2` and `(3pi)/2 < B < 2pi`, `f i n d ` `tan(A-B) `

If sin A=3/5, cos B=-(12)/(13),\ w h e r e A and B both lie in second quadrant, find the value of sin(A+B) .

If sinA=1/2,cosB=(sqrt(3))/2, w h e r epi/2 lt A lt pi and 0ltBltpi/2 find the following: tan(A-B)_dot

If sinA=3/5, cosB=-12/13 , where A in (0,pi/2) B in (pi,(3pi)/2) ,then evaluate the following: i) sin(A-B) ii) cos(A-B) iii) tan(A+B)

If sinA=4/5 and cosB=5/(13), where 0 < A,B < pi/2 ,find the value of the cos(A+B)

If s in A=(12)/(13)a n dsinB=4/5,\ w h e r e\ pi/2

If y=cos^(-1)((5cosx-12sinx)/(13)),w h e r ex in (0,pi/2), then (dy)/(dx) is. (a)1 (b) -1 (c) 0 (d) none of these

Which of the following is/are true? (dy)/(dx)fory=sin^(-1)(cosx),w h e r ex in (0,pi),i s-1 (dy)/(dx)fory=sin^(-1)(cosx),w h e r ex in (0,2pi),i s1 (dy)/(dx)fory=cos^(-1)(sinx),w h e r ex in (-pi/2,pi/2),i s-1 (dy)/(dx)fory=cos^(-1)(sinx),w h e r ex in (pi/2,(3pi)/2),i s-1

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 cos A=4/(5), cosB=12/13 and (3pi)/2 < A, B < 2pi then find the value of cos(A+B)

Find the number of solutions of (x ,\ y) which satisfy |y|=cosx\ a n d\ y=sin^(-1)(sinx),\ w h e r e\ |x|lt=3pi .