Option C: The solution set is 
Explanation:
The expression is 
Now, let us find the solution set.
Switch sides, we get,
Dividing by 2 on both sides, we have,
Thus, 
Hence, the above expression becomes,
Simplifying, we get,
Applying the log rule, we get,
Simplifying, we have,
Applying the log rule, we have,
Thus, the solution set is
Hence, Option C is the correct answer.
Answer:
$30.50
Step-by-step explanation:
b = bagels
c = cream cheese
<u>Given</u>
b = 30
c = 2
<u>Work:</u>
0.85b+2.5c
0.85(30) + 2.5(2)
25.5 + 5
30.5
Indoor
8 chairs x 6 (for each table) =48 indoor chairs
Outdoor
5 chairs x 2 (for each table) =10 outdoor chairs
Final Answer
48 indoor chairs+10 outdoor chairs=58 chairs
58 chairs in total
<span> I am assuming you want to prove:
csc(x)/[1 - cos(x)] = [1 + cos(x)]/sin^3(x).
</span>
<span>If we multiply the LHS by [1 + cos(x)]/[1 + cos(x)], we get:
LHS = csc(x)/[1 - cos(x)]
= {csc(x)[1 + cos(x)]/{[1 + cos(x)][1 - cos(x)]}
= {csc(x)[1 + cos(x)]}/[1 - cos^2(x)], via difference of squares
= {csc(x)[1 + cos(x)]}/sin^2(x), since sin^2(x) = 1 - cos^2(x).
</span>
<span>Then, since csc(x) = 1/sin(x):
LHS = {csc(x)[1 + cos(x)]}/sin^2(x)
= {[1 + cos(x)]/sin(x)}/sin^2(x)
= [1 + cos(x)]/sin^3(x)
= RHS.
</span>
<span>I hope this helps! </span>
