Express the following in the form a + ib, a, b ∈ R, using De Moiv… - Vidyadip

Question

Express the following in the form a + ib, a, b ∈ R, using De Moivre’s theorem.

$(1+i)^6$

✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the Following Question.(3 Marks)" from Complex Numbers→Complex Numbers — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Find the square root of the following complex numbers:-8 – 6i

Find the degree and radian measures of exterior and interior angles of a regular : octagon

Find the sum to infinity of the following arithmetico-geometric sequence.

$3, \frac{6}{5}, \frac{9}{25}, \frac{12}{125}, \frac{15}{625}, \ldots$

Which term of the G.P.:$\frac13,\frac19,\frac{1}{17}\ ...\text{is}\frac{1}{19683}?$

Find the locus of a point such that the line segments having end points (2, 0) and (-2, 0) subtend a right angle at that point.

Find the sum of all even integers between $101$ and $999$.

Let $f: R \rightarrow R$ be given by $f(x)=x^3+1$ for all $x \in R$. Draw its graph.

Find the general solutions of the following equations:
$\tan^{2}\text{x}+(1-\sqrt{3})\tan\text{x}-\sqrt{3}=0$

$3 \tan ^6 10^{\circ}-27 \tan ^4 10^{\circ}+33 \tan ^2 10^{\circ}=1$

Find the points on z-axis which are at a distance $\sqrt{21}$ from the point (1, 2, 3).