### Home > PC > Chapter 4 > Lesson 4.2.2 > Problem4-84

4-84.

Find the specified value given the information provided. Assume that $0 ≤ θ ≤\frac { \pi } { 2 }$.

1. $\text{csc }θ =\frac { \sqrt { 5 } } { 2 }$; find $\text{sin }θ$

$\text{sin}\theta=\frac{1}{\text{csc}\theta}$

1. $\text{tan }θ = 0.8$; find $\text{cot }θ$

Rewrite $(.8)$ as $\frac{8}{10}$. The $\text{cot}\theta=\frac{1}{\text{tan}\theta}$.

1. $\text{cos }θ =\frac { 3 } { 5 }$; find $\text{sin }θ$

1. Draw and label a sketch.
2. Find the third side.
3. Find the $\text{sin }θ$.

1. $\text{csc }θ =\frac { \sqrt { 5 } } { 2 }$; find $\text{cos }θ$

Follow the same steps as (c) above.
Be careful labeling the sides of the triangle!