Precalculus: Trig Identities

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18 Terms

1
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sin²x + cos²x

1

2
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tan²x + 1

sec²x

<p>sec²x</p>
3
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cot²x + 1

csc²x

<p>csc²x</p>
4
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cos(x+y)

cosx cosy - sinx siny

<p>cosx cosy - sinx siny</p>
5
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cos(x-y)

cosx cosy +sinx siny

<p>cosx cosy +sinx siny</p>
6
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sin(x+y)

sinx cosy + siny cosx

7
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sin(x-y)

sinx cosy - siny cosx

8
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tan(x+y)

tanx + tany / 1 - tanx tany

<p>tanx + tany / 1 - tanx tany</p>
9
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tan(x-y)

tanx - tany / 1 + tanx tany

<p>tanx - tany / 1 + tanx tany</p>
10
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cos2x

cos²x - sin²x

2cos²x - 1

1 - 2sin²x

<p>cos²x - sin²x</p><p>2cos²x - 1</p><p>1 - 2sin²x</p>
11
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sin2x

2sinx cosx

<p>2sinx cosx</p>
12
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tan2x

2tanx / 1 - tan²x

<p>2tanx / 1 - tan²x</p>
13
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cos(x/2)

±√(1+cosx)/2

<p>±√(1+cosx)/2</p>
14
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sin(x/2)

±√(1-cosx)/2

<p>±√(1-cosx)/2</p>
15
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tan(x/2)

sinx / 1 + cosx

1 - cosx / sinx

<p>sinx / 1 + cosx</p><p>1 - cosx / sinx</p>
16
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cos3x

4cos³x - 3cosx

17
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sin3x

3sinx - 4sin³x

18
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tan3x

3tanx - tan³x / 1 - 3tan²x