CPM Homework Help : CCA2 Problem 7-107

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7-107.

Convert each of the following angle measures. Give exact answers.

Hint:

There are multiple ways to approach these problems. Try different strategies to expand your personal toolkit

$\frac { 7 \pi } { 6 }$ radians to degrees
Hint (a):
Use Hint 1 from
problem 7-106.
Let $π = 180^\circ$ and simplify.
Notice, you do not need a calculator if you divide $180$ by $6$ as your first step.
Answer (a):
$210^\circ$

$\frac { 5 \pi } { 3 }$ radians to degrees
Hint (b):
Use Hint 1 or 2 from 7-106.
Step 1(b):
Multiply $\frac{5\pi}{3}$ by $\frac{180}{\pi}$ .
Step 2(b):
Simplify by factoring out Giant Ones.

$45^\circ$ to radians
Hint (c):
Use the second part of Hint 2 from 7-106.
Answer (c):
$\frac{{\pi}}{4}$

$100^\circ$ to radians
Hint (d):
Use Hint 2 from 7-106 or try Hint 3:
Use the proportion $\frac{\pi}{180°}=\frac{r}{100°}$ .

$810^\circ$ to radians
Hint (e):
See parts (c) and (d).

$\frac { 7 \pi } { 2 }$ radians to degrees
Hint (f):
See parts (a) and (b).
Answer (f):
$630^\circ$

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