Question

If cosec ø – cot ø = 1/3 , then find the value of cosec 0 + coto
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Answer 1

Answer:

Step-by-step explanation:

Given,

cosec A - cot A = 1/3

We know the identity

coes ^2 A - cot^2 A = 1

( cosec A - cot A ) ( cosec A + cot A ) = 1

(1/3) ( cosec A + cot A ) = 1 (∵cosec A - cot A = 1/3 ,given)

cosec A + cot A = 1 × 3

∴ cosec A + cot A = 3 is the answer.