Trig Identities

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Last updated 4:30 PM on 5/27/26
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12 Terms

1
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sin(a±b)

sinacosb±cosasinb

2
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cos(a±b)

cosacosb-/+sinasinb

3
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tan(a±b)

(tana±tany)/(1-/+tanatanb)

4
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sin²x+cos²x

1

5
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tan²x+1

sec²x

6
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1+cot²x

csc²x

7
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sin2x

2sinxcosx

8
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cos2x

cos²x-sin²x

2cosx-1

1-2sin²x

9
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tan2x

2-tanx/1-tan²x

10
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sin(x/2)

±sqrt(1-cosx/2)

11
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cos(x/2)

±sqrt(1+cosx/2)

12
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tan(x/2)

±sqrt(1-cosx/1+cosx)