9
QuizMultiple Choice

Law of Sines and Law of Cosines — a Deeper Look — Quiz

Question 9 • Precalculus

In triangle ABC shown, sine cap c is equal to h over A and sine cap A is equal to h over c Which of the following combines the two sine ratios into one equation?

Answer
A
sine cap c over A is equal to sine cap A over c
B
h over sine cap c is equal to h over sine cap A
C
A sine cap c is equal to c sine cap A
D
h sine cap c is equal to h sine cap A

Explanation

From sin C = h/A, multiply both sides by A to get A sin C = h. From sin A = h/c, multiply both sides by c to get c sin A = h. Since both expressions equal h, A sin C = c sin A, which is choice C.

AI-written and checked against the verified answer.

Previous
Next