Home > INT3 > Chapter 11 > Lesson 11.1.4 > Problem11-46

11-46.

Without using a calculator, write two solutions to each of the following equations for $0^\circ\leθ<360^\circ$.

1. ${ \sin } ( \theta ) = \frac { 1 } { 2 }$

One answer is $θ = 30^\circ$

1. ${ \tan } ( \theta ) = \sqrt { 3 }$

Tangent is positive in quadrants I and III.

1. ${ \cos } ( \theta ) = \frac { \sqrt { 3 } } { 2 }$

$θ = 30^\circ, 330^\circ$

1. $\operatorname { sin } ( \theta ) = - \frac { \sqrt { 2 } } { 2 }$

Sine is negative in quadrants III and IV.