The value of csc theta is 
<h3>How to determine the value</h3>
It is important to note that the ratio for cot is given as;
Cot theta = adjacent/opposite
cosec theta = hypotenuse/opposite
If cot theta = 3/2, then
Adjacent = 3
Opposite = 2
Using Pythagoras theorem, we have
Hypotenuse square = opposite + adjacent square



Cosec theta = 
Thus, the value of csc theta is 
Learn more about trigonometric ratio here:
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Answer:
A. $2.89(m)=$40
B. 13 songs
Step-by-step explanation:
$2.89(m)=$40
m=$40/$2.89
m=13.84
She can download a maximum of 13 songs
Check:
$2.89 (13 songs)=$37.57
$40-$37.57=$2.43 left on her gift card
m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43
So in your given pattern, you need to find first the derivatives and observe the patter that occurs in the given functions. So with this kind of pattern, every fourth one is the same; that makes the 114th derivative is the same as the second derivative. It is known since 114/4 has a remainder of two