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HACTEHA [7]
2 years ago
15

Determine two pairs of polar coordinates for the point (5, 5) with 0° ≤ θ < 360°.

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
3 0

Answer:

 the answer is B (5 square root 2, 315°), (-5 square root 2, 135°)

Step-by-step explanation:

1) Let A be the point (x, y) = (5, - 5)  

=> x = 5 and y = - 5  

r = √(x² + y²) = √(25 + 25) = √50 = ± 5√2  

tan Θ = - 5/5 = - 1  

=> Θ = (i) 315º or - 45º ; (ii) 135º or - 225  

Hence, the Polar Coordinates of A are (i) (5√2, 315º) (ii) (- 5√2, 135º)

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Answer:

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Step-by-step explanation:

Given the expression cotθ+√3=0

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Since cotθ = 1/tanθ

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Reciprocate both sides:

tanθ = -1/√3

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Since the angle is negative, and tanθ is negative in the second and fourth quadrant.

In the second quadrant;

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Since 180° = πrad

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7 0
2 years ago
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