Identify parts of z: Identify the real and imaginary parts of z=−4−43i.Real part: −4Imaginary part: −43=−64
Calculate argument of z: Calculate the argument of z, which is the angle θ in the polar form of the complex number.\theta = \arctan\left(\frac{\text{Imaginary part}}{\text{Real part}}\right) = \arctan\left(\frac{\(-64\)}{\(-4\)}\right)
Simplify fraction for arctan: Simplify the fraction inside the arctan function. \(\arctan\left(\frac{-64}{-4}\right) = \arctan(16)
Use calculator to find value: Use a calculator to find the value of arctan(16).θ≈arctan(16)≈1.51 radians
More problems from Find derivatives using the product rule II