Find the value of the following
`(1+ i)^(6) + (1-i)^(6)`

Find the value of the following cos^(-1)(cos frac(13pi)6)

Evaluate the following : tan^(-1)(tan(-6))

Evaluate the following : cos^(-1)(cos""(7pi)/6)

Find the value of r if 5P_r = 6P_(r-1)

prove the following. (sqrt3+i)^6 = -64

Find the modulus of the following complex numbers i) 1+i tan alpha ii) tan alpha-i iii) 1-sin alpha+i cos alpha

Express the following in a+ib form (1-i)-(-1+6i)

Find the transpose of each of the following matrices: (i) [[5], [1/2], [-1]] ii) [[1, -1],[ 2, 3]] (iii) [[-1, 5, 6],[ sqrt3, -5, 6],[ 2, 3, -1]]

Find the Polar form of the complex number (1+i)/(1-i)

Evaluate the following : cos(cos^(-1)(sqrt3/2)+pi/6)