Question

If tan∅ = √15÷10, find cot∅

Answer 1

Answer:

cot(∅) = $\frac{10\sqrt{15} }{15}$

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

$\frac{10}{\sqrt{15} }$ * $\frac{\sqrt{15} }{\sqrt{15} }$

cot ∅ = $\frac{10\sqrt{15} }{15}$