A Remainder via $x = \mathrm{i}$

Problem

Find the remainder when

\left(x\sin 75^\circ + \sin 15^\circ\right)^{2018}

is divided by $x^2 + 1$ .

Answer

Solution

Difficulty	5/10
Topics	complex numbers, Polynomials

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments