Question

If cosec θ = 25/7, then find cot θ.

Answer 1

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Answer 2

Answer:

24/7

Step-by-step explanation:

We are given that Cosec θ= 25/7, then we have to find the value of Cot θ.

Since Cosec θ=1/ Sin θ.

We have, Sin θ=7/25 ,

Now, we know that, Cos² θ = 1- Sin²θ = 1-(7/25)² =(625-49)/625 = (24/25)²

⇒ Cos θ =24/25 {Since, θ is in 1st quadrant so, Cos θ can not be negative}

Hence, Cot θ =Cos θ/Sin θ =(24/25)/(7/25) =24/7 (Answer)