Law of Sine
a/(sinA) = b/(sinB) = c/(sinC)
Laws of Cosine
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)
Area formulas (4 of them)
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
Unit vector formula
u = v/||v||
z1 * z2 = ?
(|z1|)(|z2|)[cos(θ1 + θ2) + isin(θ1 + θ2)]
z1/z2 = ?
(|z1|/|z2|)[cos(θ1 - θ2) + isin(θ1 - θ2)]
(z1)^n
[(|z|)^n][cos(nθ1) + isin(nθ1)]
How many triangles could there be if you are given SAA?
1
How many triangles could there be if you are given ASA?
1
How many triangles could there be if you are given SSA/ASS?
0, 1, 2