Precalculus Trigonometric Equations

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Pre-Calculus

Last updated 7:19 PM on 10/9/23
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21 Terms

1
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sin(A+B)

sinAcosB+cosAsinB

2
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sin(A-B)

sinAcosB-cosAsinB

3
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sin(2A)

2sinAcosA

4
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cos(A+B)

cosAcosB-sinAsinB

5
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cos(A-B)

cosAcosB+sinAsinB

6
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cos(2A): (all)

2cos^2x-1

1-2sin^2x

7
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cos(2A): (1)

cos^2x-sin^2x

8
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cos(2A): (2)

2cos^2x-1

9
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cos(2A): (3)

1-2sin^2x

10
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tan(A+B)

tanA+tanB/1-tanAtanB

11
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tan(A-B)

tanA-tanB/1+tanAtanB

12
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tan(2A)

2tanx/1-tan^2x

13
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Pythagorean Identity: 1

Sin^2x + cos^2x = 1

14
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Pythagorean Identity: 2

tan^2x + 1 = sec^2x

15
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Pythagorean Identity: 3

1 + cot^2x = csc^2x

16
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sin(-x)

-sinx

17
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cos(-x)

cosx

18
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tan(-x)

-tanx

19
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sin(x/2)

±sqrt(1-cosx/2)

20
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Cos(x/2)

±sqrt(1+cosx/2)

21
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Tan(x/2)

±(1-cos/sin2) or ±(sinx/1+cosx)