find the distance of the point (bcos theta ,bsin theta) from the origin
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→Question: The distance of the point (b cos theta,b sin theta) from origin is:
→Answer: To find distance, we use the distance formula:
⇒Distance formula: √(x2 - x1)² - (y2 - y1)²
⇒Where:
x2 = bcosθ
x1 = 0
y2 = bsinθ
y1 = 0
⇒Now:
√(bcosθ - 0)² + (bsinθ - 0)²
√b²cos²θ + b²sin²θ
√b²(cos²θ + sin²θ)
b√1
b
⇒ x and y coordinates:
⇒ (0,0) A______________________________B (bcosθ,bsinθ)
∴The distance between the point bcosθ , bsinθ from the origin is b.
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