TRIGONOMETRY

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Can you check my work, please? This is for a trig study guide for my final next week. I'd like to know if I'm doing this right. :)

2. The polar coordinates of a point are given. Find the rectangular coordinates of each point.
a. (5,(π / 4))
b. (-2,(π / 6))
Answer:
a. x = M cos θ
x = 5(cos π/4)
x = 5(0.707)
x = 3.535

y = M sin θ
y = 5(sin π/4)
y = 5(0.707)
y = 3.535

(5,(π / 4)) = (3.535, 3.535)

b. x = M cos θ
x = -2(cos π/6)
x = -2(0.866)
x = -1.732

y = M sin θ
y = -2(sin π/6)
y = -2(0.5)
y = -1

(-2,(π / 6)) = (-1.732, -1)

  • TRIGONOMETRY -

    both are correct

  • TRIGONOMETRY -

    Thanks, Steve! :)I appreciate your help!

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