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13 Terms

1
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Cos(A+B)

CosACosB-SinASinB

2
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Cos(A-B)

CosACosB+SinASinB

3
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Sin(A+B)

sinAcosB+cosAsinB

4
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Sin(A-B)

sinAcosB-cosAsinB

5
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Tan(A+B)

tanA+tanB/1-tanAtanB

6
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Tan(A-B)

tanA-tanB/1+tanAtanB

7
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8
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=1

Sin²theta+Cos²theta

9
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Sec²theta

1+Tan²theta=Sec²theta

10
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Csc²theta

1+Cot²theta=Csc²theta

11
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sin2theta

2sinthetacostheta

12
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cos2theta

cos²theta-sin²theta

13
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tan2theta

2tantheta/1-tan²theta