Download App

Trigonometry – I — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsTrigonometry – I1 Mark
Question
Find the polar co-ordinates of points whose Cartesian co-ordinates are : $(1, \sqrt{3})$
✓

Answer

$(x, y)=(1, \sqrt{3})$
$ \therefore r=\sqrt{x^2+y^2}=\sqrt{1+3}=\sqrt{4}=2$
$\tan \theta=\frac{y}{x}=\frac{\sqrt{3}}{1}=\sqrt{3}$
Since the given point lies in the 1st quadrant,
$\theta=60^{\circ} \ldots\left[\because \tan 60^{\circ}=\sqrt{3}\right]$
$\therefore$ the required polar co-ordinates are $\left(2,60^{\circ}\right)$.

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.(1 Marks)" from Trigonometry – I→Trigonometry – I — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

For $z = 2 + 3i,$ verify the following:
$z-\bar{z}=6 i$
→
Convert the following angles into radians $: 65^\circ 30′$
→
In a series of 20 observations, 10 observations are each equal to k and each of the remaining half is equal to -k. If the standard deviation of the observations is 2, then write the value of k.
→
Find the nth term and hence find the 8th term of the following HPs.

$\frac{1}{2}, \frac{1}{5}, \frac{1}{8}, \frac{1}{11}, \ldots$

→
In a simultanepous throw of a pair of dice, find the probability of getting:
$8$ as the sum.
→
Evaluate: $\frac{n !}{r !(n-r) !}$ for

n = 8, r = 6

→
For the following G.P.s, find $S_n$. 3, 6, 12, 24, ……..
→
Express the following exponential equations in logarithmic form:

$e^{-x}=6$

→
Find the domain of the following functions.$f(x)=\sqrt{x-3}+\frac{1}{\log (5-x)}$
→
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow2}\frac{\text{x}^3-8}{\text{x}^2-4}$
→