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miss Akunina [59]
3 years ago
12

If tan∅ = √15÷10, find cot∅

Mathematics
1 answer:
Ghella [55]3 years ago
6 0

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}

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