Algebra and Trigonometry, 5th Edition

Review Exercises

Determine whether the statement is true or false.

1. 1. For any point $\left(x,y\right)$ on the unit circle, $\langle x,y\rangle$is a unit vector. [8.6]

2. 2. The law of sines can be used to solve a triangle when all three sides are known. [8.1]

3. 3. Two vectors are equivalent if they have the same magnitude and the lines that they are on have the same slope. [8.5]

4. 4. Vectors $\langle 8,-2\rangle$ and $\langle -8,2\rangle$ are equivalent. [8.6]

5. 5. Any triangle, right or oblique, can be solved if at least one angle and any other two measures are known. [8.1]

6. 6. When two angles and an included side of a triangle are known, the triangle cannot be solved using the law of cosines. [8.2]

Solve $\text{Δ}ABC$, if possible. [8.1], [8.2]

1. 7. $a=23.4\text{ ft},b=15.7\text{ ft},c=8.3\text{ ft}$

2. 8. $B=27$