### Home > PC > Chapter 4 > Lesson 4.2.1 > Problem4-70

4-70.

Given $θ =\frac { \pi } { 3 }$, find the exact value of each of the following trig expressions.

Draw a unit circle and label the $x$ and $y$-coordinates for $θ$. You can easily find all trig functions once you know the coordinates.

1. $\text{sec }θ$

$\frac{1}{\text{cos}(\theta)}=\frac{1}{x}=\frac{1}{\frac{1}{2}}=2$

1. $\text{csc }θ$

What is the $\text{csc}θ$ in terms of the other trig functions?

1. $\text{tan }θ$

What is the $\text{tan}θ$ in terms of the other trig functions?

1. $\text{cot }θ$

What is the $\text{cot}θ$ in terms of the other trig functions?