convert è = -2 to rectangular equation form
"e thing" above is supposed to be "theta"
and theta=-2 is a polar equation
θ = -2
This is just a straight line, along the angle θ=-2.
Recall that the slope of the line: tanθ = sinθ/cosθ = rsinθ/rcosθ = y/x
So, y/x = tan(-2) = 2.185
y = 2.185x
Makes sense, since θ is in QIII, so the line slopes up from the left.
To convert the complex number è = -2 to rectangular form, you need to rewrite it in the form a + bi, where a and b are real numbers.
In general, a complex number in rectangular form can be written as z = a + bi, where a is the real part and bi is the imaginary part.
In the given case, è = -2 represents a number on the complex plane, located on the negative real axis. Since there is no imaginary part in this case, the imaginary part of the complex number is zero.
Therefore, the rectangular form of è = -2 is -2 + 0i, or simply -2.