Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 7 - Section 7.3 - The Ambiguous Case - 7.3 Problem Set - Page 389: 4

Answer

When solving the ambiguous case using the law of cosines, the first step is to solve for the missing $side$. This will result in a $quadratic$ equation, which can be solved using the $Quadratic\, formula$.

Work Step by Step

We are given 2 sides and an angle. Using law of cosines, $b^{2}=c^{2}+a^{2}-2ca(cosB)$ If $b$,$a$,$B$ are known and $c$ is unknown, clearly this results in a quadratic equation, which can be solved for $c$.
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