Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.1 Oblique Triangles and the Law of Sines - 7.1 Exercises - Page 301: 2

Answer

One angle and two sides or Two sides and one angle

Work Step by Step

The Sine Law states: $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$ where $a$, $b$, $c$ are the sides measures of the triangle and $A$, $B$, $C$ its angles measures. In order to determine all the $6$ elements we need to know two sides and any of the angles or two angles and any of the sides. If we know two sides and the angle corresponding to the third side, then we use the Cosine Law: $a^2=b^2+c^2-2bc\cos A$
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