# Calc III

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 Author: lacythecoolest ID: 299722 Filename: Calc III Updated: 2015-04-01 23:58:58 Tags: hell Folders: Description: trig and derivs Show Answers:

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1. sin(a + b) =
sin(a)cos(b) + cos(a)sin(b)
2. cos(a + b) =
cos(a)cos(b)-sin(a)sin(b)
3. cos(theta+2x) =
cos( theta)
4. sin(theta +2x)=
sin( theta)
5. cos(-✓) =
cos(-✓)
6. sin(-✓)=
-sin(-✓)
7. cot^2(✓) + 1 =
csc ^2(✓)
8. tan^2(✓) + 1 =
sec^2(✓)
9. sin^2(✓) + cos^2(✓)=
1
10. csc(✓)=
1/sin(✓)
11. tan(✓)=
sin(✓) /cos(✓)
12. sec(✓)=
1/cos(theta)
13. cot(theta)=
cos(theta)/sin(theta)

1/tan(theta)
14. TF
tan(theta)=
x/y
15. TF
sin(theta)=
y/r
16. TF
cos(theta)=
x/r
17. TF
csc(theta)=
r/y
18. TF
sec(theta)=
r/x
19. TF
cot(theta)=
y/x
20. (af ±bg)'(x)=
af'(x)±bg'(x).
21. (f ·g)'(x)=
f(x)g'(x)+g(x)f'(x).
22. (f o g)'(x)=

or

dv/dx=
f'(g(x))·g'(x)

dv/du ·du/dx
23. x^p dx=
=( x^(p+1)/ p +1)+ C

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