Trig Identites

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Last updated 10:04 PM on 6/11/26
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14 Terms

1
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sin(A)sin(B)

0.5[cos(A-B) - cos(A+B)]

2
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cos(A)cos(B)

0.5[cos(A-B) + cos(A+B)]

3
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sin(A)cos(B)

0.5[sin(A+B) + sin(A-B)]

4
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cos(A)sin(B)

05[sin(A+B) - sin(A-B)]

5
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sin(π-A)

sin(A)

6
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cos(π-A)

-cos(A)

7
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tan(π-A)

-tan(A)

8
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sin(π+A)

-sin(A)

9
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cos(π+A)

-cos(A)

10
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tan(π+A)

tan(A)

11
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sin(a/2)

sin(a2)=±√(1−cos(a))2\text{sin}\bigg(\frac{a}{2}\bigg) = \text{±}\frac{\text{√}(1 - \text{cos}(a))}{2}

12
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cos(a/2)

cos(a2)=±1+cos(a)2\text{cos}\bigg(\frac{a}{2}\bigg) = \text{±}\sqrt{\frac{1 + \text{cos}(a)}{2}}

13
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tan(a/2)

tan(a2)=sin(a)1+cos(a)=1−cos(a)sin(a)\text{tan}\bigg(\frac{a}{2}\bigg) = \frac{\text{sin}(a)}{1 + \text{cos}(a)} = \frac{1 - \text{cos}(a)}{\text{sin}(a)}

14
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Sin(2A)

2sinAcosA