Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Compute the argument of z=iz = iz=i.
Compute the argument of z=−2iz = -2iz=−2i.
Find the principal argument of the complex number z=2−3iz = 2 - 3iz=2−3i.
Determine the argument of the complex number given in polar form: z=7 cis(−π3) .z=7\ \text{cis}\bigl(-\tfrac{\pi}{3}\bigr)\,.z=7 cis(−3π).
Find the principal argument of z=1−3 iz = 1 - \sqrt{3}\,iz=1−3i.
Calculate the argument of z=−1+3 iz = -1 + \sqrt{3}\,iz=−1+3i in the interval (0,2π)(0,2\pi)(0,2π).
Find the principal argument of z=3+3iz = 3 + 3iz=3+3i.
Find the principal argument of z=−3−iz = -\sqrt{3} - iz=−3−i.
Calculate the argument of the product z=(1+i)(1−i)z = (1 + i)(1 - i)z=(1+i)(1−i).
Let z=−1+2iz=-1+2iz=−1+2i. Find arg(z)\arg(z)arg(z) and then compute arg(z3)\arg(z^3)arg(z3) (principal values).
Find the principal argument of z=2−i1+2i .z=\frac{2 - i}{1 + 2i}\,.z=1+2i2−i.
Show that for z=1+3 iz=1+\sqrt{3}\,iz=1+3i, the argument of z2z^2z2 is twice the argument of zzz.
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