Question

CosecA+cotA=1/cosecA-cotA

Answer 1

Answer:

Step-by-step explanation:

RHS

1 / (cosecA - cotA) . . . . . . . . . . .multiply top & bottom by (cosecA + cotA)

(cosecA + cotA) /(cosec^2A - cot^2A) . . . . . . .use cosec^2A = 1 + cot^2A

(cosecA +cotA) / 1

cosecA + cotA

RHS = LHS

QED

Answer 2

Step-by-step explanation:

let us take

${(coseca - cota)}^{2} = 1 \\ = > (coseca + cota)(coseca - cota) = 1 \\ (coseca + cota) = \frac{1}{coseca - cota}$

hope the answer helps