How can you express the complex number z = 2 + 3i in the form z = r(cos x + i sinx)

First you want to draw the complez number on to an argand diagram, using which you will find the modulus and argument. This is how to do so: The modulus is to be obtained using pythagoras (which will be easier to describe using the diagram). The argument will be obtained using trigonometric rules since the line on the argand diagran will be a right angled triangle. Then the modulus and argument will be written into the form : z = [z](cos(argz) + i sin(argz)

MB

Related Maths A Level answers

All answers ▸

How do I differentiate y=(4+9x)^5 with respect to x?


f(x) = x^3 + 3x^2 + 5. Find (a) f ′′(x), (b) ∫f(x)dx.


The curve C has equation y=(2x-3)^5, the point P lies on C and has coordinates (w, – 32), find (a) the value of w and (b) the equation of the tangent to C at the point P in the form y=mx+c , where m and c are constants.


A uniform ladder of mass 5 kg sits upon a smooth wall and atop a rough floor. The floor and wall are perpendicular. Draw a free body diagram for the ladder (you do not need to calculate any forces).