Chapter 5 - radians

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Vocab and formulae for Pearson Edexcel Pure year 2 textbook. A-level mathematics.

Last updated 4:13 PM on 8/31/24
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11 Terms

1
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formula for arc length.

l = r x theta

where l is the length of the arc, r is the radius and theta is the angle in radians

2
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formula for area of a sector

A = ½ r² x theta

where A is the area, r is the radius and theta is the angle in radians

3
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formula for area of a segment

A = ½ r² (theta - sin(theta))

where A is the area of the segment, r is the radius and theta is the angle in radians.

4
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draw a segment

drawn

<p>drawn</p>
5
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draw a sector

drawn

<p>drawn</p>
6
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How to solve trigonometric equations in radians?

The same way as degrees (with CAST and graphs)

7
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what is the small angle approximation for sin(theta)

theta

8
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what is the small angle approximation for tan(theta)

theta

9
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what is the small angle approximation for cos(theta)

1 - ((theta)² /2)

10
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cosine rule

c² = a² + b² -2abcos(A)

11
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Area (sine?) rule

A = ½ bcsinA