ap pre-calculus polar functions and trigonometry

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23 Terms

1
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sin(a + b)

(sin a x cos b) + (sin b x cos a)

2
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sin 2 x

2 sin x cos x

3
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sin(a-b)

(sin a x cos b) - (sin b x cos a)

4
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sin²x + cos²x

1

5
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cos(2x) in terms of cosine

1

6
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cos(2x) in terms of cosine

2cos²x -1

7
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cos(2x) in terms of sine and cosine

cos²x - sin²x

8
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cos(a+b)

(cos a x cos b) - (sin a x sin b)

9
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cos (a-b)

(cos a x cos b) + (sin a x sin b)

10
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a > b

dimpled cardioid

11
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a < b

inner loop

12
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a = b

heart shaped

13
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radius in a + bi form

r = (a² + b²)^1/2

14
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y-coordinate in terms of radius and sin

y = r • sin x

15
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x-coordinate in terms of r and cosine

x = r • cos x

16
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1/csc x

sin x

17
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1/sinx

csc x

18
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1/secx

cos x

19
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1/cosx

sec x

20
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since/cosx

tanx

21
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cosx/sinx

cotx

22
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1 + tan²x

sec²x

23
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1 + cot²x

csc²x