Trigonometric Identities

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23 Terms

1

sin(A+B)

sinAcosB + cosAsinB

2

sin(A-B)

sinAcosB - cosAsinB

3

cos(A+B)

cosAcosB + sinAsinB

4

cos(A-B)

cosAcosB + sinAsinB

5

tan(A+B)

(tanA+tanB)/(1-tanAtanB)

6

tan(A-B)

(tanA-tanB)/(1+tanAtanB) [A, B, & A+B does not = pi/2]

7

sin(2A)

2sinAcosA

8

cos(2A)

cos²A-sin²A
2cos²A-1
1-2sin²A

9

tan2A

2tanA/(1-tan²A) [A does not equal pi/2 or pi/4]

10

sin²A+cos²A

1

11

Limit Trig. Functions

limx→0sinx/x=1

limx→0(1-cosx)/x=0

limx→0tanx/x=1

12

cosecant (csc)

reciprocal of sine
csc=1/sin

13

secant (sec)

reciprocal of cosine
sec=1/cos

14

cotangent (cot)

reciprocal of tangent
cot=1/tan

15

Reciprocal Identities

sin/cos=tan

cos/sin=cot

sin²+cos²=1

tan²+1=sec²

cot²+1=csc²

16

sin(A/2)

17

cos(A/2)

18

tan(A/2)

19

sin2A

20

cos2A

21

tan2A

22

Law of Cosines

*gamma = angle opposite to c

23

Law of Sin