Answer:
cot(∅) = 
Step-by-step explanation:
tan ∅ and cot ∅ are inverse functions
therefore the inverse of
tan ∅ = √15 / 10
is equal to
cot ∅ = 10 / √15
Rationalizing the denominator
* 
cot ∅ = 
Answer:
<em>3x + 2y = -2 </em>
Step-by-step explanation:
<em>Given Equation is</em> <em>−
2
x + 3
y = 12</em>
3
y =
2
x + 12
y
= (
2
/3
) y + 12
<em />
<em>Slope of this line is </em><em>m = 2/
3
</em>
<em>
Slope of Line A </em><em>
m
a = 2
</em>
<em>
Slope of Line B </em><em>m
b = 2/
3
</em>
<em>
Slope of Line C </em><em>m
c = −
(
2
/3
)
</em>
<em>
Slope of Line D</em> <em>m
d = − (
3
/2
)
</em>
since m
d = −
1
/m , <em>D</em> is perpendicular to the given line