Home > A2C > Chapter 9 > Lesson 9.1.1 > Problem9-17

9-17.

Without a calculator, find two solutions $0° ≤ θ \lt 360°$ that make each of the following equations true.

1. $\operatorname { cos } \theta = \frac { 1 } { 2 }$

$60° \text{ and } 300°$

1. $\operatorname{tan} θ = −1$

$135° \text{ and } 315°$

1. $\operatorname { sin } \theta = \frac { \sqrt { 3 } } { 2 }$

Which quadrants will the angles be in?

1. $\operatorname { cos } \theta = - \frac { \sqrt { 3 } } { 2 }$

See part (c).