Precalculus Chapter 5.5, 6.1,2_1 Formulas

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Pre-Calculus

10th

Last updated 2:42 PM on 11/29/22
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21 Terms

1
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sin(u + v)
sinucosv + sinvcosu
2
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sin(u - v)
sinucosv - sinvcosu
3
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cos(u + v)
cosucosv - sinusinv
4
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cos(u - v)
cosucosv + sinusinv
5
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tan(u + v)
(tanu + tan v)/(1 - tanutanv)
6
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tan(u - v)
(tanu - tan v)/(1 + tanutanv)
7
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sin2x
2sinxcosx
8
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cos2x
(cos^2x - sin^2x) or
(2cos^2x - 1) or
(1 - 2sin^2x)
9
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tan2x
(2tanx)/(1 - tan^x)
10
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sin^2x
(1 - cos2x)/(2)
11
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cos^2x
(1 + cos2x)/(2)
12
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tan^2x
(1 - cos2x)/(1 + cos2x)
13
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sin(x/2)
+/- √( (1 - cosx)/(2) )
14
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cos(x/2)
+/- √( (1 + cosx)/(2) )
15
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tan(x/2)
+/- √( (1-cosx)/(1 + cosx) ) or
(1 - cosx)/(sinx) or
(sinx)/(1 + cosx)
16
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Law of Sine
SinA/a = SinB/b = SinC/c
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Law of Cosine (a)
a^2 = b^2 + c^2 - 2bc(cosA)
18
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Law of Cosine (b)
b^2 = a^2 + c^2 - 2ac(cosB)
19
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Law of Cosine (c)
c^2 = a^2 + b^2 - 2ab(cosC)
20
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area of a triangle
A = 1/2(bcsinA)
21
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Heron's formula
A = √(s(s - a)(s - b)(s - c), s = (a + b + c)/2