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1 vote
If 15 cot A = 8, then find the value of cosec A​

User Najm
by
7.9k points

1 Answer

6 votes

Answer:

cosec A =
(17)/(15)

Explanation:

We have,

15 cot A = 8


\implies cotA = (8)/(15)

We know that,

cosec²A - cot²A = 1

⇒cosec²A = 1 + cot²A

Taking square root both sides, we get


√(cosec^2A) = \sqrt{1+cot^2A


\implies cosec A = √(1+cot^2A)


\implies cosec A = \sqrt{1+((8)/(15))^2}


\implies cosec A=\sqrt{1+(64)/(225)}=\sqrt{(289)/(225)}=(17)/(15)

So, the value of cosec A is
(17)/(15).

User Kartik Bhiwapurkar
by
9.2k points

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