Find the argument of the following: `(1+i)/(-sqrt(3)i)`

Find the modulus and argument of the following : (i) -sqrt (3)+i (ii) -1-isqrt(3) (iii) 5+12i (iv) 3(cos300^(@)-isin30^(@))

Find the modulus and argument of the following complex number: (1+i)/(1-i)

Find the modulus and argument of the following complex number (1+2i)/(1-3i)

Find the pricipal argument of each of the following: (a) -1-isqrt(3) (b) (1+sqrt(3)i)/(3 +i) (c) sin alpha + i(1-cos alpha), 0 gt alpha gt pi (d) (1+ isqrt(3))^(2)

Find the modulus and the arguments of the complex number z=-sqrt(3)+i

Find the square roots of the following (i) 4+3i (ii) -5+12i (iii) 8-15i (iv) 7-24i(" where " , i=sqrt(-1))

Find multiplicative inverse of the following: 2+sqrt(3)i

Find multiplicative inverse of the following: (sqrt(5)+i3)

Evaluate each of the following: (i) cot^(-1)(1/(sqrt(3)))-"cosec"^(-1)(-2)+sec^(-1)(2/(sqrt(3))) (ii) cot^(-1){2cos(sin^(-1)((sqrt(3))/2))}

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