Basic Technical Mathematics, 11th Edition

CHAPTER 4 REVIEW EXERCISES

CONCEPT CHECK EXERCISES

Determine each of the following as being either true or false.

1. A standard position angle of $205\hspace{0.17em}°\hspace{0.17em}$ is a second-quadrant angle.

2. In Example 2 of Section 4.2, if the terminal side passes through (6, 8) the values of the trigonometric functions are the same as those shown.

3. $\csc \theta$ and ${\sin }^{\hspace{0.17em}-\hspace{0.17em}1}\theta$ are the same.

4. In a right triangle with sides a, b, and c, and the standard angles opposite these sides, if $A\hspace{0.17em}=\hspace{0.17em}45\hspace{0.17em}°\hspace{0.17em}\hspace{0.17em},\hspace{0.17em}$ then $a\hspace{0.17em}=\hspace{0.17em}b\hspace{0.17em}.\hspace{0.17em}$

5. In Example 2 of Section 4.5, if the angle of elevation from the north goal line to the blimp is $58.5\hspace{0.17em}°\hspace{0.17em}$, the solution is the same.

6. If an angle has a cosine of 0.2, then the secant of the angle is 5.

PRACTICE AND APPLICATIONS

In Exercises 7–10, find the smallest positive angle ...