Write `1+i/2-i` in the trigonometrical form.

Write 1-i in polar form.

Write 2i in polar form.

Find the values of the other five trigonometric functions I each of the following: cot theta=-(1)/(2),theta in quadrant II

Convert (1+3i)/(1-2i) into the polar form.

The number of real solutions of the equation sin^(-1)(sum_(i=1)^oox^(i+1)-xsum_(i=1)^oo(x/2)^i)=pi/2-cos^(-1)(sum_(i=1)^oo(-x/2)^i-sum_(i=1)^oo(-x)^i) lying in the interval (-1/2,1/2) is ____. (Here, the inverse trigonometric function =sin^(-1)x and cos^(-1)x assume values in [pi/2,pi/2] and [0, pi] , respectively.)

Write tan^(-1) x, x gt 0 in the form of other inverse trigonometric function

Express (2+i)/(2-i) in the form a+ib

Write the following sets in set-builder form (i) C={1,-1,i,-i}