Question

if cosecA-cotA=4/5 then find the value of cosecA​

Answer 1

Answer:

cosecA=41/40

Step-by-step explanation:

cosecA - cot A=4/5 .......(1)

★★★multiply cosec A + cot A on both side then we get;

(cosecA - cotA) (cosecA + cotA) = 4/5( cosecA + cot A)

(cosec^2A - cot ^2A) = 4/5(cosecA + cotA)

1 = 4/5(cosecA + cotA)

cosecA + cotA = 5/4 ......(2)

★★★ADDING EQUATION (1) AND (2), WE GET;

2cosecA = 4/5 + 5/4

2cosecA = (16 + 25)/20

cosecA = 41/40 .......††ANS..