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

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 S is the sample space and P(A)=1/3P\ (B)a n d\ S=AuuB ,\ w h e r e\ A\ a n d\ B are two mutually exclusive events then P(A)= 1//4 b. 1//2 c. 3//4 d. 3//8

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 .

Writhe the range of the function f(x)=cos[x],\ w h e r e-\ pi/2

Let A and B be two sets such that n(A)=3\ a n d\ n(B)=2. if\ (x ,1),\ (y ,2),\ (z ,1)a r e\ in\ AxxB ,\ find \ A\ a n d\ B ,\ w h e r e\ x , y , z are distinct elements.

If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in this interval

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 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

Show that the middle term in the expansion of (1+x)^(2n)i s((1. 3. 5 (2n-1)))/(n !)2^n x^n ,w h e r en is a positive integer.