Question

Cosec A - cot A =1\4,then find the value of cosecA + cotA

Answer 1

Given that cosec A - cot A = 1/4.

We know that cosec^2 A - cot^2 A = 1

We know that a^2 - b^2 = (a - b)(a + b)

(cosecA - cotA)(cosecA + cotA) = 1

(1/4)(cosecA+cotA) = 1

cosecA + cotA = 4.