Evaluate: ( i ^ 37 +1 i ^ 67 ) - Vidyadip

Question

Evaluate: $\left( i ^{37}+\frac{1}{ i ^{67}}\right)$

✓

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.(2 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

If pth, qth and rth terms of a G.P. are x, y, z respectively. Find the value of

$x^{q-r} \cdot y^{r-p} \cdot z^{p-q}$

Show that there is no constant term in the expansion of $\left(2 x-\frac{x^2}{4}\right)^9$

Find the value of k, if the following equations are consistent.
(k + 1)x + (k – 1)y + (k – 1) = 0
(k – 1)x + (k + 1)y + (k – 1) = 0
(k – 1)x + (k – 1)y + (k + 1) = 0

For a G.P. if $t _2=7, t _4=1575$, find $a$.

Find the sum of the following series to infinity:$1-\frac{1}{3}+\frac{1}{3^2}-\frac{1}{3^3}+\frac{1}{3^4}+\ ....\infty$

Show that $\tan^2 \theta + \cot^2 \theta \geq 2$ for all $\theta \in R$.

Show that : $\frac{\sin 2 \alpha+\sin 2 \beta}{\sin 2 \alpha-\sin 2 \beta}=\frac{\tan (\alpha+\beta)}{\tan (\alpha-\beta)}$

Show the following quadratic equation by factorization method:
$x^2 + 10ix - 21 = 0$

Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{\sin3\text{x}}{5\text{x}}$

Evaluate the following one sided limits:
$\lim\limits_{\text{x}\rightarrow0^+}\frac{1}{3\text{x}}.$