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Find the polar coordinates of points whose cartesian coordinates are : (1,3) - Mathematics and Statistics

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प्रश्न

Find the polar coordinates of points whose cartesian coordinates are :

`(1, sqrt(3))`

बेरीज

उत्तर

(x, y) = `(1, sqrt(3))`

∴ r = `sqrt(x^2 + y^2)`

= `sqrt(1 + 3)`

= `sqrt(4)`

= 2

tanθ = `y/x`

= `sqrt(3)/1`

= `sqrt(3)`

Since the given point lies in the 1st quadrant,

θ = 60°    ...`[∵ tan 60^circ = sqrt(3)]`

∴ the required polar co-ordinates are (2, 60°).

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Polar Co-ordinate System
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Trigonometry - 1 - EXERCISE 2.2 [पृष्ठ ३१]

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