# trig identities and equations

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sin^2x+cos^2x

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## Tags and Description

### 33 Terms

1

sin^2x+cos^2x

=1

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2

cos^2x-sin^2x

=cos2x

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3

1+cot^2x

=csc^2x

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4

tan^2x+1

=sec^2x

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5

sinx

=1/cscx

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6

cosx

=1/secx

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7

tanx

=1/cotx

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8

cos(-x)

=cosx

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9

sec(-x)

=secx

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10

tan(-x) or -tanx

=sin(-x)/cos(-x)

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11

even

cosx, secx

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12

odd

sinx, cscx, tanx, cotx

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13

sin(pi/2-x)

=cosx

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14

cos(pi/2-x)

=sinx

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15

tan(pi/2-x)

=cotx

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16

csc(pi/2-x)

=secx

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17

sec(pi/2-x)

=cscx

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18

cot(pi/2-x)

=tanx

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19

sin(u+v)

= sin(u)cos(v) + cos(u)sin(v)

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20

sin(u-v)

= sin(u)cos(v)-cos(u)sin(v)

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21

cos(u+v)

= cos(u)cos(v)-sin(u)sin(v)

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22

cos(u-v)

= cos(u)cos(v) + sin(u)sin(v)

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23

tan(u+v)

= tan(u)+tan(v)/1-tan(u)tan(v)

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24

tan(u-v)

= tan(u)-tan(v)/1+tan(u)tan(v)

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25

sin2(u)

= 2sin(u)cos(u)

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26

tan2(u)

= 2tan(u)/1-tan(u)^2

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27

cos2(u)

cos^2(u)-sin^2(u) OR 2cos^2(u)-1 OR 1-2sin^2(u)

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28

θ

full angle

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29

θ/2

half angle

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30

The + or - depends on the __ in which θ/2 lies

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31

sin θ/2

± √ (1 - cosθ)/2

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32

cos θ/2

± √(1 + cos θ)/2

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33

tan θ/2

±√(1-cosθ)/(1+cosθ)

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