<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>
Answer:
5/8 * 7/2
Step-by-step explanation:
Whenever you divide fractions, you can use the 'keep change flip' method.
You keep 5/8, change the division sign to multiplication, and then flip the second fraction.
1. 5/8 / 7/2 - Keep 5/8
2. 5/8 * 7/2 - Change division sign
3. 5/8 * 2/7 - Flip the second fraction, 7/2 -> 2/7
To solve for the ounces of bleach that Jack used, we utilize the formula below
Bleach = (Percentage of bleach)*(Total ounces of cleaning solution)
Bleach = 0.12*150 ounces
Bleach = 18 ounces
<em>ANSWER: 18 ounces of bleach</em>
Answer:
x=9.2394
Step-by-step explanation:
It's tan we're going to use because we're looking for the opposite and we already have the angle
Therefore, x will be
Tan 57= x/6
1.5399= x/6
x= 6*1.5399
x= 9.2394
You can approximate it to the nearest whole number which will be 9
