Trigonometry – I — Maths STD 11 Science — Question
Maharashtra BoardEnglish MediumSTD 11 ScienceMathsTrigonometry – I1 Mark
Question
Find the Cartesian co-ordinates of points whose polar co-ordinates are $: (1, 180^\circ)$
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Answer
$(r, \theta)=\left(1,180^{\circ}\right)$
Using $x=r \cos \theta$ and $y=r \sin \theta$, where $(x, y)$ are the required cartesian co-ordinates, we get
$x=1\left(\cos 180^{\circ}\right) \text { and } y=1\left(\sin 180^{\circ}\right)$
$\therefore x=-1 \text { and } y=0$
$\therefore$ the required cartesian co-ordinates are $(-1,0)$.
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