Studied by 58 people

5.0(1)

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Hint

1

csc(x)

=1/sin(x)

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2

sec(x)

=1/cos(x)

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3

cot(x)

=1/tan(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^2(x)+cos^2(x)

=1

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7

tan²(x)+1

=sec²(x)

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8

1+cot^2(x)

=csc^2(x)

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9

sin(-x)

=-sin(x)

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10

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11

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12

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13

cos(-x)

=cos(x)

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14

tan(-x)

=-tan(x)

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15

csc(-x)

=-csc(x)

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16

sec(-x)

=sec(x)

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17

cot(-x)

=-cot(x)

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18

sin((pi/2)-u)

=cos(u)

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19

cos((pi/2)-u)

=sin(u)

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20

tan((pi/2)-u)

=cot(u)

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21

sin(x+y)

=sin(x)cos(y)+cos(x)sin(y)

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22

sin(x-y)

=sin(x)cos(y)-cos(x)sin(y)

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23

cos(x+y)

=cos(x)cos(y)-sin(x)sin(y)

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24

cos(x-y)

=cos(x)cos(y)+sin(x)sin(y)

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25

tan(x+y)

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

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26

tan(x-y)

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

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27

sin(2x)

=2sin(x)cos(x)

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28

cos(2x)

=cos^2(x)-sin^2(x), 1-sin^2(x), 2cos^2(x)-1

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29

tan(2x)

=(2tan(x))/(1-tan²(x))

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30

sin(u/2)

=sqrt((1-cos(u))/2)

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31

cos(u/2)

=sqrt((1+cos(u))/2)

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32

tan(u/2)

=(1-cos(u))/sin(u)

=sin(u)/1+cos(u)

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33

d/dx(sin(x))

=cos(x)

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34

d/dx(cos(x))

=-sin(x)

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35

d/dx(tan(x))

=sec²(x)

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36

d/dx(csc(x))

=-csc(x)cot(x)

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37

d/dx(sec(x))

=sec(x)tan(x)

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38

d/dx(cot(x))

=-csc²(x)

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