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

Mathematics

1 answer:

PilotLPTM [1.2K]3 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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