If `A` and `B` are acute angles, `sin A = 1/(5sqrt2) and tan B = 1/3` , then `A+2B =` (i)`pi/2` (ii)`pi/3` (iii)`pi/4` (iv)`pi/6`

If tan A = 1, tan B = 2, tan C = 3, then A+B+C = (i) (n pi)/(2); n in Z (ii) (n pi); n in Z ( iii) (n pi)/(4); n in Z (iv) (2n pi)/(3); n in Z

The angle of rotation of the axes so that the equation x+y-6=0 may be reduced the form X = 3 sqrt2 is (i)pi/6 (ii)pi/4 (iii)pi/3 (iv)pi/2

Given both theta and phi are acute angles and sin theta=(1)/(2),cos varphi=(1)/(3), then the value of theta+varphi belongs to (a)((pi)/(3),(pi)/(2)]( b) ((pi)/(2),(2 pi)/(3)] (c) ((2 pi)/(3),(5 pi)/(6)] (d) ((5 pi)/(6),pi]

If AandB are acute positive angles satisfying the equations 3sin^(2)A+2sin^(2)B=1 and 3sin2A-2sin2B=0, then A+2B is equal to (a) pi (b) (pi)/(2) (c) (pi)/(4) (d) (pi)/(6)

The angle of rotation of axes so that sqrt(3)x-y+1=0 transformed as y=k is (i) (pi)/(6)( ii) (pi)/(4)( iii) (pi)/(3)( iv) (pi)/(2)

If (pi)/(2) and (pi)/(4) are the arguments of z_ (1) and bar (z_ (2)) respectively, then Arg ((z_ (1))/(z_ (2)) ) = (i) 3 (pi)/(4) (ii) (pi)/(4) (iii) pi (iv) (pi)/(3)

If Aa n dB are acute positive angles satisfying the equations 3sin^2A+2sin^2B=1 and 3sin2A-2sin2B=0, then A+2B is equal to (a) pi (b) pi/2 (c) pi/4 (d) pi/6

Given both thetaa n dphi are acute angles and sintheta=1/2,cosvarphi=1/3, then the value of theta+varphi belongs to (a) (pi/3,pi/2] (b) (pi/2,(2pi)/3] (c) ((2pi)/3,(5pi)/6] (d) ((5pi)/6,pi]

Given both thetaa n dphi are acute angles and sintheta=1/2,cosvarphi=1/3, then the value of theta+varphi belongs to (a) (pi/3,pi/2] (b) (pi/2,(2pi)/3] (c) ((2pi)/3,(5pi)/6] (d) ((5pi)/6,pi]

sin^(-1)((-1)/2) (a) pi/3 (b) -pi/3 (c) pi/6 (d) -pi/6