If `sin(A-B)=1/(sqrt(10 ,))cos(A+B)=2/(sqrt(29))`, find the value of tan2A where A and B lie between 0 and `pi/4 dot`

If (sqrt(8)+i)^(50)=3^(49)(a+i b) , then find the value of a^2+b^2dot

IF tan ( A-B ) = 1, sec (A +B ) = (2)/(sqrt(3)) , the smallest positive value of B is

If a=sqrt(3),b=1/2(sqrt(6)+sqrt(2))dot and c=2, then find /_A

If sinA=3/5 , where 0^0ltAlt90^0 , then find the values of sin2A , cos2A ,tan2A and sin4A

If sin (A-B) =(1)/(2) ,cos (A+B) =(1)/(2) , where 0^(@) angle A +B le 90 ^(@) and A gt B find A and B

Find tan^(-1)x/(sqrt(a^2-x^2)) in terms of sin^(-1) where x in (0, a)dot

In a Delta ABC , if cosA cos B cos C= (sqrt3-1)/(8) and sin A sin B sin C= (3+ sqrt3)/(8) , then The value of tan A + tan B + tan C is

If sin 4 A - cos 2 A = cos 4 A - sin 2A (0 lt Alt (pi)/( 4)) then the value of tan 4A is

If cos (A /2) =sqrt((b+c)/(2c)) , then prove that a^2+b^2=c^2dot

If vec a , vec b ,a n d vec c are such that [ vec a vec b vec c]=1, vec c=lambda vec axx vec b , angle, between vec aa n d vec b is (2pi)/3,| vec a|=sqrt(2),| vec b|=sqrt(3)a n d| vec c|=1/(sqrt(3)) , then the angel between vec aa n d vec b is a. pi/6 b. pi/4 c. pi/3 d. pi/2