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Ann [662]
3 years ago
14

Help please I need to complete this before 12

Mathematics
1 answer:
Solnce55 [7]3 years ago
4 0

Answer:

Look at the answers bolded below

Step-by-step explanation:

To get the reference angle, just subtract 115° from 180°

180 - 115 = 65

So the reference angle is 65°

I'm not sure how many coterminal angles you need, but to get them you could just add or subtract 360°.

For example, a positive coterminal angle could be:

115 + 360 = 475°

a negative coterminal angle could be:

115 - 360  = -245°

Hope this helped :)

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The possible form of the point (6√3, - 6) in polar form are (r₁, θ₁) = (12, 11π / 6), (r₂, θ₂) = (12, - π / 6).

<h3>How to derive the polar form of a point in rectangular form</h3>

In this problem we find a point in rectangular form, that is, a point of the form (x, y). We are asked to find the polar form of the point, that is, a point described by the following expression:

(r, θ)

Where:

  • r - Magnitude
  • θ - Direction, in radians

The magnitude is found by Pythagorean theorem:

r =√(x² + y²)

And the direction of the point is described by the following inverse trigonometric function:

θ = tan⁻¹ (y / x)

If we know that (x, y) = (6√3, - 6), then the point in polar form is:

r = √[(6√3)² + (- 6)²]

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θ = tan⁻¹ (- √3 / 3)

θ = 11π / 6 rad / θ =  - π / 6 rad

There are two possible solutions: (r₁, θ₁) = (12, 11π / 6), (r₂, θ₂) = (12, - π / 6).

To learn more on point in polar form: brainly.com/question/13103661

#SPJ1

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