If `sin(A-B)=1/(sqrt(10 ,))cos(A+B)=2/(sqrt(29)),fin dt h ev a l u eof2Aw h e r eAa n dBl i eb e t w e e n0a n dpi/4dot`

If sinA=1/2,cosB=(sqrt(3))/2, w h e r e pi/2

Comprehension 1 Let a^((log)_b x)=c w h e r e a , b , c & x are parameters. On the basis of above information, answer the following questions: If b=(log)_(sqrt(3))3, c=2(log)_bsqrt(b) a n d s intheta=a(w h e r e x >1) t h e n theta can be a.pi/4 b. (3pi)/2 c. pi/2 d. 0

I fx+1/x=2,t h e p r i n c i p a l v a l u e o f sin^(-1)x is

IfI_n=int_x^pix^nsinx dx ,t h e n fin d t h e v a l u eof I_5+20 I_3dot

If sinA=4/5a n dcosB=5/(13), w h e r e 0

If sinA=4/5a n dcosB=5/(13), w h e r e 0

If sinA=4/5a n dcosB=5/(13), w h e r e 0

If sinA=4/5a n dcosB=5/(13), w h e r e 0

I f(n !)/(2!(n-2)!)and(n !)/(4!(n-4)!)a r e i n t h e r a t i o2:1, n!4!(n-4 are in the ratio 2:1, then nn!a) If 21(n -2)1 and

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.