how to find distance between two points in polar coordinate .
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1
Answer:
Find the length of the line-segment joining the points (4, 10°) and (2√3 ,40°).
Solution:
We know that the length of the line-segment joining the points (r₁, θ₁),and (r₂, θ₂), is
√[ r₂² + r₁² - 2r₁ r₂ Cos(θ₂ - θ₁)].
Therefore, the length of the line-segment joining the given points
= √{(4² + (2√3)² - 2 ∙ 4 ∙ 2√(3) Cos(40 ° - 10°)}
= √(16 + 12 - 16√3 ∙ √3/2)
= √(28 - 24)
= √4
= 2 units.
Answered by
2
Answer:
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