Chapter 13 Quest

Question 1

Law of Sine

Answer 1

a/(sinA) = b/(sinB) = c/(sinC)

Question 2

Laws of Cosine

Answer 2

Given/Solving for angle A:
a² = b² + c² - 2bc(cosA)
Given/Solving for angle B:
b² = a² + c² - 2ac(cosB)
Given/Solving for angle C:
c² = b² + a² - 2ba(cosC)

Question 3

Area formulas (4 of them)

Answer 3

Given only angle A:
Area = (1/2)(b)(c)(sinA)

Given only angle B:
Area = (1/2)(c)(a)(sinB)

Given only angle C:
Area = (1/2)(b)(a)(sinC)

Given only sides:
A = √(s)(s - a)(s - b)(s - c)
s = (a + b + c)/2

Question 4

Unit vector formula

Answer 4

u = v/||v||

Question 5

z1 * z2 = ?

Answer 5

(|z1|)(|z2|)[cos(θ1 + θ2) + isin(θ1 + θ2)]

Question 6

z1/z2 = ?

Answer 6

(|z1|/|z2|)[cos(θ1 - θ2) + isin(θ1 - θ2)]

Question 7

(z1)^n

Answer 7

[(|z|)^n][cos(nθ1) + isin(nθ1)]

Question 8

How many triangles could there be if you are given SAA?

Answer 8

1

Question 9

How many triangles could there be if you are given ASA?

Answer 9

1

Question 10

How many triangles could there be if you are given SSA/ASS?

Answer 10

0, 1, 2