Trig for calc class

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27 Terms

1
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Tan(x)

Sin(x)/Cos(x)

2
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Cot(x)

cos(x)/sin(x)

3
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csc(x)

1/sin(x)

4
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sec(x)

1/cos(x)

5
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sin²(x)+cos²(x)

=1

6
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tan²(x)+1

=sec²(x)

7
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1+cos²(x)

=csc²(x)

8
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sin(-x)

=-sin(x)

9
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cos(-x)

=cos(x)

10
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tan(-x)

-tan(x)

11
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sin(2x)

=2sin(x)cos(x)

12
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cos(2x)

=cos²(x)-sin²(x) = 2cos²(x)-1 = 1-sin²(x)

13
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tan(2x)

=2tan(x)/1-tan²(x)

14
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sin²(x)

=1/2(1-cos(2x))

15
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cos²(x)

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

16
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tan²(x)

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

17
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sin(a)sin(b)

=1/2(cos(a-b)-cos(a+b))

18
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cos(a)cos(b)

=1/2(cos(a-b)+cos(a+b))

19
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sin(a)cos(b)

=1/2(sin(a+b)+sin(a-b))

20
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law of sines

sinA/a=sinB/b=sinC/c

21
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law of cosines

c²=a²+b²-2abcosC

22
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d/dx(sinx)

cosx

23
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d/dx(cosx)

-sinx

24
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d/dx(tanx)

sec²x

25
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d/dx(secx)

secxtanx

26
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d/dx(cscx)

-cscxcotx

27
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d/dx(cotx)

-csc²x