Question

If cosec θ + sinθ = 5/2 then the value of cosecθ - sinθ is

Answer 1

We know that. ..

${cosec}^{2}x - {cot}^{2}x = 1$

$(cosecx - cotx)(cosecx +cotx) = 1$

(cosecx - cotx)(5/2) = 1

(cosecx - cotx) = 2/5