Question

If cosec A - cot A is equal to 4/5 than what is the value of cosec A

Answer 1

Answer:

cosecA = 41/40

Explanation :

cosecA - cotA = 4/5 ---( 1 )

=> (cosecA - cotA)(cosecA + cotA)=(4/5) (cosecA + cotA)

=> (cosec²A-cot²A) = (4/5)(cosecA +cotA)

=> 1 = (4/5)(cosecA + cotA)

=> cosecA +cotA = 5/4 ---(2)

Now ,

Add (1) and (2 ), we get

=> 2coseecA = (4/5+5/4)

=> 2cosecA = (16+25)/20

=> cosecA = 41/40

Therefore,

cosecA = 41/40

•••••

Answer 2

Answer:

41/40

Step-by-step explanation:

see the attachment below