### Home > PC > Chapter 4 > Lesson 4.3.2 > Problem4-138

4-138.

Find all values of $θ$ where $0 ≤ θ < 2π$, such that the following equations are true. Use exact values for $θ$.

1. $\text{cos }θ = 1$

Cosine is the $x$-value. Where on the unit circle is $x = 1$?

1. $\text{tan }θ = −1$

What $θ$ gives a tangent of $1$ or $−1$?
What quadrants would the tangent be $−1$?

1. $\text{csc }θ = 2$

Change the $\text{csc }θ$ to $1$/sin $θ$.

1. $\sqrt { 2 }$

$\frac{1}{\cos\theta}=\frac{\sqrt2}{1}$