AP PreCalc Trig Identities

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13 Terms

1
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cos²(x)+sin²(x)

1

2
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tan²(x)+1

sec²(x)

3
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cot²(x)+1

csc²(x)

4
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cos(a+b)

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

5
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cos(a-b)

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

6
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sin(a+b)

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

7
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sin(a-b)

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

8
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sin(2x)

2sin(x)cos(x)

9
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cos(2x)

1-2sin²(x)

cos²(x)-sin²(x)

2cos²(x)-1

10
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cos²(x)

(1+cos(2x))/2

11
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sin²(x)

(1-cos(2x))/2

12
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sin(x/2)

sqrt((1-cos(x))/2)

13
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cos(x/2)

sqrt((cos(x)+1)/2)