Answer:
cot(∅) = [tex]\frac{10\sqrt{15} }{15}[/tex]
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
[tex]\frac{10}{\sqrt{15} }[/tex] * [tex]\frac{\sqrt{15} }{\sqrt{15} }[/tex]
cot ∅ = [tex]\frac{10\sqrt{15} }{15}[/tex]
