Basic Technical Mathematics, 11th Edition

CHAPTER 8 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the end of this book.

1. Change $150\hspace{0.17em}°\hspace{0.17em}$ to radians in terms of $\pi \hspace{0.17em}.\hspace{0.17em}$

2. Determine the sign of (a) $\sec 285\hspace{0.17em}°\hspace{0.17em}$, (b) $\sin 245\hspace{0.17em}°\hspace{0.17em}$, (c) $\cot 265\hspace{0.17em}°\hspace{0.17em}$.

3. Express $\sin 205\hspace{0.17em}°\hspace{0.17em}$ in terms of the sine of the reference angle. Do not evaluate.

4. Find $\sin \theta$ and $\sec \theta$ if $\theta$ is in standard position and the terminal side passes through $(\hspace{0.17em}-\hspace{0.17em}9\hspace{0.17em},\hspace{0.17em}12)\hspace{0.17em}.\hspace{0.17em}$

5. An airplane propeller blade is 2.80 ft long and rotates at 2200 r/min. What is the linear velocity of a point on the tip of the blade?

6. Given that 3.572 is the measure of an angle, express the angle in degrees.

7. If $\tan \theta \hspace{0.17em}=\hspace{0.17em}0.2396\hspace{0.17em},\hspace{0.17em}$ find $\theta \hspace{0.17em},\hspace{0.17em}$ in degrees, for $0\hspace{0.17em}°\hspace{0.17em}\hspace{0.17em}\le \hspace{0.17em}\theta \hspace{0.17em}<\hspace{0.17em}360\hspace{0.17em}°\hspace{0.17em}\hspace{0.17em}.\hspace{0.17em}$

8. If $\cos \theta \hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}0.8244$ and $\csc \theta \hspace{0.17em}<\hspace{0.17em}0\hspace{0.17em},\hspace{0.17em}$ find $\theta$