%%%% tex{\input pictex} pictex{$$\beginpicture} paper{units(2cm,2cm),xrange(-2,2),yrange(0,2)} pictex{\axis left shiftedto y=0 ticks numbered } pictex{ from 1 to 2 by 1 /} pictex{\axis bottom shiftedto x=0 ticks numbered from -2 to 0 by 1} pictex{ from 1 to 2 by 1 /} point(A){0,0} point(B){A,polar (1,0 deg)} point(C){A,polar (1,0 deg)} %point(z2){A,polar (1,45 deg)} %point(z1){A,polar (1,30 deg)} %point(z3){A,polar (1,75 deg) } point(z4){A,polar (1.7, 135 deg)} drawPoints(z4) drawLine(A z4) drawAngleArrow{angle(B A z4),radius(0.4), internal, anticlockwise} \pictex{\setdashes} drawPerpendicular(z4 , A B) \pictex{\setsolid} text($\theta$){A, polar (0.5,70deg)}[bl] text($z = x + i y = |z| (\cos \theta + i \sin \theta)$){z4, shift (0,.1)}[b] text($y$){z4, shift(-.2,-.5)}[l] text($x$){A, shift (-.6, .1)}[b] %text($z_1= \mathop{\rm cis}30^{\circ}$) {z1}[tl] %text($z_2= \mathop{\rm cis}45^{\circ}$) {z2}[bl] %text($z_3 = z_1 \cdot z_2 = = \mathop{\rm cis}75^{\circ}$) {z3, shift(.1,.1)}[bl] %drawLine(A z1) %drawLine(A z2) %drawLine(A z3) %DrawAngleArrow{angle(B A z1 ), radius(0.5), internal ,anticlockwise} %DrawAngleArrow{angle(B A z2 ), radius(0.65), internal ,anticlockwise} pictex{\endpicture$$} %%%tex{\bye}