Question

if cosec is equal to 5 by 3 what is the value of 9 + 9 cos square A

Answer 1

I hope this will help you.
cosecA=hypotenuse/hieght. =5/3
hypotenuse =5x. hieght=3x
by Pythagoras theorem,
25x²=base² +9x²
16x²=base²
4x=base
cosA= base/hypotenuse=4x/5x=4/5
9+9*(4/5)²
9+9*16/25
9+144/25
(225+144)/25
369/25