Find the value of `x` in each of the following: (i) `2sin3x=sqrt(3)` (ii) `2sin(x/2)=1` (iii) `sqrt(3)sinx=cosx`

Find the value of x in each of the following: 2sin3x=sqrt(3)( ii) 2(sin x)/(2)=1 (iii) sqrt(3)sin x=cos x

Find the value of theta in each of the following: (i) 2sin2theta=sqrt(3) (ii) 2cos3theta=1 (iii) sqrt(3)tan2theta-3=0

Find the value of theta in each of the following: (i) 2sin2 theta=sqrt(3)(ii)2cos3 theta=1(iii)sqrt(3)tan2 theta-3=0

Find the value of x in each of the following: (i)\ 5^(2x+3)=1 (ii)\ (13)^(sqrt(x))=4^4-3^4-6 (iii)\ (sqrt(3/5))^(x+1)=(125)/(27)

Find the principal value of each of the following: (i) sin^(-1)(-(sqrt(3))/2) (ii) sin^(-1)(cos (pi/3)) (iii) sin^(-1)((sqrt(3)-1)/(2sqrt(2)))

Find the principal solutions of each of the following equations : (i) sinx=(sqrt(3))/(2) (ii) cosx=(1)/(2) (iii) tanx=sqrt(3) (iv) cotx=sqrt(3) (v) "cosec "x=sqrt(3) (vi) secx=(2)/(sqrt(3))

Find the principal value of each of the following: sin^(-1)(-(sqrt(3))/(2))( (ii) sin^(-1)((cos(2 pi))/(3))( iii) sin^(-1)((sqrt(3)-1)/(2sqrt(2)))

Find the general solution for each of the following equations : 2sin^(2)x+sqrt(3)cosx+1=0

Find the principal value of each of the following :(i)(sin^(-1)1)/(2)-2(sin^(-1)1)/(sqrt(2))( ii) sin^(-1){cos(sin^(-1)(sqrt((3)/(2)))}^(sqrt(2))

Find the principal value of each of the following: i) sin^(-1)(1/sqrt(2)) ii) cos^(-1)(sqrt(3))/2 iii) tan^(-1)(sqrt(3)) iv) "cosec"^(-1)(2)