Question

If cosec θ – cot θ = 1/3, the value of (cosec θ + cot θ) is​

Answer 1

Answer:

3

Step-by-step explanation:

1. cosec²∅+cot²∅=1
2. (cosec∅+cot∅)(cosec∅-cot∅)=1
3. 1/3(cosec∅+cot∅)=1
4. cosec∅+cot∅=3

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Answer 2

Answer:

3

Step-by-step explanation:

cosec²∅-cot²∅=1

by splitting the identity

we get,  

(cosec∅-cot∅)(cosec∅+cot∅)=1

1/3(cosec∅+cot∅)=1

cosec∅+cot∅=3