CPM Homework Help : PC Problem 4-84

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4-84.

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

$\text{csc }θ =\frac { \sqrt { 5 } } { 2 }$ ; find $\text{sin }θ$
Hint (a):
$\text{sin}\theta=\frac{1}{\text{csc}\theta}$

$\text{tan }θ = 0.8$ ; find $\text{cot }θ$
Hint (b):
Rewrite $(.8)$ as $\frac{8}{10}$ . The $\text{cot}\theta=\frac{1}{\text{tan}\theta}$ .

$\text{cos }θ =\frac { 3 } { 5 }$ ; find $\text{sin }θ$
Steps (c):
1. Draw and label a sketch.
2. Find the third side.
3. Find the $\text{sin }θ$ .
Sketch (c):

$\text{csc }θ =\frac { \sqrt { 5 } } { 2 }$ ; find $\text{cos }θ$
Hint (d):
Follow the same steps as (c) above.
Be careful labeling the sides of the triangle!

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