Algebra and Trigonometry, 5th Edition

Mid-Chapter Mixed Review

Determine whether the statement is true or false.

1. If $\text{sin}\alpha >0$ and $\text{cot}\alpha >0$, then $\alpha$ is in the first quadrant. [6.3]

2. The lengths of corresponding sides in similar triangles are in the same ratio. [6.1]

3. If $\theta$ is an acute angle and $\text{csc}\theta \approx 1.5539$, then $\text{cos}\left(90°-\theta \right)\approx \mathrm{0.6435.}$ [6.1]

Solve the right triangle. [6.2]

4. 

5. 

Find two positive angles and two negative angles that are coterminal with the given angle. Answers may vary. [6.3]

6. $-75°$

7. $214°30\prime$

Find the complement and the supplement of the given angle. [6.3]

8. $\mathrm{18.2\; ...}$