Question

if 5x=secand 5/x=tan , find the value of 5(x²-1/x²)​

Answer 1

Answer:

given

5x= sec

both side square

25x^2=sec^2

= 1+tan^2

25x^2-1=tan^2------------1

given

5/X=tan

both side square

25/x^2= tan^2---------2

equ 1 and 2

25x^2-1=25/x^2

25x^2-25/x^2=1

25(x^2-1/x^2)=1

(x^2-1/x^2)=1/25-----------3

Hance

5(1/25) equ 3

1/5 answer