Math 150 Exam 3

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Pre-Calculus

Last updated 6:10 PM on 11/21/22
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32 Terms

1
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sin²x+cos²x
= 1
2
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1 + cot²x
= csc²x
3
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tan²x + 1
=sec²x
4
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sin(pi/2 - θ)
=cosθ
5
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cos(pi/2 - θ)
=sinθ
6
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tan(pi/2 - θ)
=cotθ
7
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cot(pi/2 - θ)
=tanθ
8
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sec(pi/2 - θ)
=cscθ
9
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csc(pi/2 - θ)
=secθ
10
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sin(-θ)
= -sin(θ)
11
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csc(-θ)
= -csc(θ)
12
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cos(-θ)
= cos(θ)
13
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sec(-θ)
= sec(θ)
14
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tan(-θ)
= -tan(θ)
15
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cot(-θ)
= -cot(θ)
16
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sin(2u)
=2sin(u)cos(u)
17
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cos(2u)
= cos²(u) - sin²(u) = 2cos²(u) - 1 = 1-2sin²(u)
18
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tan(2u)
=2tan(u)/1-tan²(u)
19
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sin²(u)
= 1-cos(2u)/2
20
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cos²(u)
= 1+cos(2u)/2
21
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tan²(u)
= 1-cos(2u)/1+cos(2u)
22
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sin(u/2)
= ±√(1-cos(u))/2
23
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cos(u/2)
= ±√(1+cos(u))/2
24
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tan(u/2)
= (1-cos(u))/sin(u)
25
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sin(u)sin(v)
=1/2[cos(u-v) - cos(u+v)]
26
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cos(u)cos(v)
=1/2[cos(u-v) + cos(u+v)]
27
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sin(u)cos(v)
=1/2[sin(u+v) + sin(u-v)]
28
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cos(u)sin(v)
=1/2[sin(u+v) - sin(u-v)]
29
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sin(u) + sin(v)
=2sin((u+v)/2) * cos((u-v)/2)
30
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sin(u) - sin(v)
=2cos((u+v)/2) * sin((u-v)/2)
31
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cos(u) + cos(v)
=2cos((u+v)/2) * cos((u-v)/2)
32
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cos(u) - cos(v)
=-2sin((u+v)/2) * sin((u-v)/2)