6. Trigonometry

Laws — Quiz

Test your understanding of laws with 5 practice questions.

Practice Questions

Question 1

Which of the following conditions is necessary to use the Law of Sines?

Question 2

Consider a triangle with sides $a$, $b$, $c$ and opposite angles $A$, $B$, $C$. If you are given side $a$, side $b$, and angle $A$, which of the following must be true to potentially have two possible triangles (ambiguous case) when using the Law of Sines?

Question 3

A triangle has sides $a=8$, $b=10$, and angle $C=45^\circ$. Which formula should be used to find the length of side $c$?

Question 4

Given a triangle with sides $a=7$, $b=9$, and angle $A=30^\circ$. To find angle $B$, which equation represents the correct application of the Law of Sines?

Question 5

In a triangle, if you are given all three sides ($a$, $b$, $c$), which law should you use to find any of the angles?