# CHAPTER 4 REVIEW EXERCISES

# CONCEPT CHECK EXERCISES

**true**or

**false**.

A standard position angle of $205\hspace{0.17em}\xb0\hspace{0.17em}$ is a second-quadrant angle.

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.

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

In a right triangle with sides

*a, b,*and`c`, and the standard angles opposite these sides, if $A\hspace{0.17em}=\hspace{0.17em}45\hspace{0.17em}\xb0\hspace{0.17em}\hspace{0.17em},\hspace{0.17em}$ then $a\hspace{0.17em}=\hspace{0.17em}b\hspace{0.17em}.\hspace{0.17em}$In Example 2 of Section 4.5, if the angle of elevation from the north goal line to the blimp is $58.5\hspace{0.17em}\xb0\hspace{0.17em}$, the solution is the same.

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 ...

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