MATH115 Formulas for Final

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24 Terms

1
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sin²x + ____ = 1

cos ² x

2
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sec²x =….

1 + tan²x

3
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csc²x = ….

1 + cot²x

4
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tan x =…

sin x/ cos x

5
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cot x =…

cos x/sin x

6
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cos (a+b)

cos a cos b - sin a sin b

7
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cos (a-b)

cos a cos b + sin a sin b

8
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sin (a+b)

sin a cos b + sin b cos a

9
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sin (a-b)

sin a cos b - sin b cos a

10
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Double Angle sin —> sin (2x) = …

2sinx × cosx

11
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Double Angle sin —> cos (2x) = … #1

1 - sin²x

12
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Double Angle sin —> cos (2x) = … #2

2 cos²x -1

13
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With half-angle formula, sign is dependent on…?

Quadrant

14
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Half angle formula sin (θ/2) = …

±√1-cosθ/2

15
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Half angle formula cos (θ/2) = …

±√1+cosθ/2

16
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Degree —> Radians

x° × π/180

17
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Radians —> Degrees

Radians × 180/π

18
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log (ab) = …

log a + log b

19
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log (a/b)

log a - log b

20
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log (aⁿ)

n log × a

21
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log b (x) = y —>

b^y = x

22
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(fog) (x) -…

f(g(x))

23
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(gof)(x)

g(f(x))

24
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ARoC

f(b)-f(a)/b-a