Trig Identities

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cos^2(x)+sin^2(x)=

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40 Terms

1

cos^2(x)+sin^2(x)=

1

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2

1+tan^2(x)=

sec^2(x)

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3

cot^2(x)+1=

csc^2(x)

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4

tan(x)=

sin(x)/cos(x)

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5

cot(x)=

cos(x)/sin(x)

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6

sin(-x)=

-sin(x)

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7

cos(-x)=

cos(x)

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8

tan(-x)=

-tan(x)

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9

csc(-x)=

-csc(x)

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10

sec(-x)=

sec(x)

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11

cot(-x)=

-cot(x)

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12

csc(x)=

1/sin(x)

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13

sec(x)=

1/cos(x)

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14

cot(x)=

1/tan(x)

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15

sin(x)=

1/csc(x)

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16

cos(x)=

1/sec(x)

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17

tan(x)=

1/cot(x)

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18

sin(x)=

cos (pi/2-x)

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19

cos(x)=

sin (pi/2-x)

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20

tan(x)=

cot (pi/2-x)

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21

csc(x)=

sec (pi/2-x)

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22

sec(x)=

csc (pi/2-x)

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23

cot(x)=

tan (pi/2-x)

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24

cos(x+-y)=

cos(x)cos(y) +- sin(x)sin(y)

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25

sin(x+-y)=

sin(x)sin(y)+-cos(x)cos(y)

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26

tan(x+-y)=

tan(x)+-tan(y)/1+-tan(x)tan(y)

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27

sin2(x)=

2sin(x)cos(x)

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28

cos2(x)=

cos^2(x)-sin^2(x)

2cos^2(x)-1

1-2sin^2(x)

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29

tan2(x)=

2tan(x)/1-tan^2(x)

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30

sin^2(x)=

1-cos2(x)/2

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31

cos^2(x)=

1+cos2(x)/2

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32

tan^2(x)=

1-cos2(x)/1+cos2(x)

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33

sin(x/2)=

+-(1-cos(x)/2)^1/2

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34

cos(x/2)=

+-(1+cos(x)/2)^1/2

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35

tan (x/2)=

+-(1-cos(x))^1/2

(1-cos(x)/sin(x))^1/2

sin (x)/1+cos(x)

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36

sinA/a=

sinB/b

sinC/c

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37

Area of a triangle=

1/2 absinC

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38

a^2=

b^2+c^2-2bc cosA

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39

cosA=

b^2+c^2-a^2/2bc

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40

Heron’s Formula Area=

(s(s-a)(s-b)(s-c))^1/2

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