Module 7 Quiz: Applications of Trigonometry
10 Questions
1
State the Law of Sines.
a/sinA = b/sinB = c/sinC
2
State the Law of Cosines for side c.
c² = a² + b² − 2ab cosC
3
When does SSA give two solutions?
When A is acute and h < a < b (where h = b sinA).
4
a=8, b=6, C=90°. Find c.
c=√(64+36)=10 (Pythagorean theorem, cos90=0).
5
Area formula with two sides and included angle?
A = (1/2)ab sinC
6
Heron's formula: s = (a+b+c)/2. Area = ?
√[s(s−a)(s−b)(s−c)]
7
|⟨−3, 4⟩| = ?
5
8
Component form of a vector with magnitude 6 and direction 30°?
⟨6cos30, 6sin30⟩ = ⟨3√3, 3⟩
9
What is a unit vector?
A vector with magnitude 1: v/|v|.
10
⟨2,3⟩ + ⟨5,−1⟩ = ?
⟨7, 2⟩