Chapter 7-8 (Notecard to memorize) Flashcards
Formula, definition and scenarios
1
Q
Law of Sine
A
- (sin A) / a = (sin B) / b = (sin C) / c
- a / (sin A) = b / (sin B) = c / (sin C)
2
Q
Area of triangle (SAS)
A
A = 1/2 ab sin C
A = 1/2 bc sin A
A = 1/2 ac sin B
3
Q
Law of Cosine
A
1) a^2 = b^2 + c^2 - 2 bc cos A
2) b^2 = a^2 + c^2 - 2 ac cos B
3) c^2 = a^2 + b^2 - 2 ab cos C
4
Q
Ambiguous Case for Law of Sine
A
Check second triangle
5
Q
Heron Formula for word problem
A
Step 1: S = 1/2(a + b + c)
Step 2: A = √(S(S - a)(S - b)(S - c))
Step 3: # bag = Area that found above Step 2 / ground cover (sq ft)
6
Q
Find the angle between two vectors
A
cos θ = (u1 v1) + (u2 v2) / √(u1^2 + u2^2) √(v1^2 + v2^2)
7
Q
i²
A
- 1
8
Q
i³
A
- i
9
Q
i⁴
A
1
10
Q
i
A
√-1
11
Q
Trig form
A
z = r (cosθ + i(sinθ)) = r cis θ
12
Q
Rectangular Form
A
z = x + y1
13
Q
z1z2
A
r1r2 cis (θ1 + θ2)
14
Q
z1÷z2
A
r1 ÷ r2 cis (θ1 - θ2)
15
Q
Demoivre’s Theorem
A
zn= rncis(n(θ))
