# CHAPTER 4 PRACTICE TEST

Find the smallest positive angle and the smallest negative angle (numerically) coterminal with but not equal to $\hspace{0.17em}-\hspace{0.17em}165\hspace{0.17em}\xb0\hspace{0.17em}\hspace{0.17em}.\hspace{0.17em}$

Express $37\hspace{0.17em}\xb0\hspace{0.17em}3{9}^{\hspace{0.17em}\prime \hspace{0.17em}}$ in decimal form.

Find the value of $\mathrm{tan}\text{}73.8\hspace{0.17em}\xb0\hspace{0.17em}$.

Find $\theta $ if $\mathrm{cos}\text{}\theta \hspace{0.17em}=\hspace{0.17em}0.3726$ (assume $\theta $ is acute).

A ship’s captain, desiring to travel due south, discovers due to an improperly functioning instrument, the ship has gone 22.62 km in a direction $4.05\hspace{0.17em}\xb0\hspace{0.17em}$ east of south. How far from its course (to the east) is the ship?

Find $\mathrm{tan}\text{}\theta $ in fractional form if $\mathrm{sin}\text{}\theta \hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{2}{3}}$ (assume $\theta $ is acute).

Find $\mathrm{csc}\text{}\theta $ if $\mathrm{tan}\text{}\theta \hspace{0.17em}=\hspace{0.17em}1.294$ (assume $\theta $ is acute).

Solve the right triangle in Fig. 4.94 if $A\hspace{0.17em}=\hspace{0.17em}\mathrm{37.4\; ...}$

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