Question

If 5tanA =12, find (cosecA -cotA) , (
cosecA+cotA)

Answer 1

Step-by-step explanation:

5tanA=12

tanA=12/5

tanA=perpendicular/base

Therefore, perpendicular=12

base=5

By Pythagoras Theorem,

AC^2= AB^2 + BC^2

AC^2= 5^2 + 12^2

AC^2= 25 + 144

AC^2= 169

AC =√169

= 13

Therefore, hypotenuse=13

cosecA= hypotenuse/perpendicular

= 13/12

cotA= base/perpendicular

= 5/12

cosecA - cotA= 13/12 - 5/12

= 8/12

= 2/3

cosecA + cotA= 13/12 + 5/12

= 18/12

= 3/2

"Hope this helps you..."