Answer: π/4.
- A π/6
- B π/3
- C π/2
- D π/4
Correct answer: D. π/4
Explanation: arg(1+i) = tan<sup>-1</sup>(1/1) = tan<sup>-1</sup>(1) = pi/4.
A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.
Concept context
Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots
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