Question

If 4x = cosec theta and 4/x = cot theta find the value
of 4(x^2-1/x^2)​

Answer 1

Step-by-step explanation:

given that,

4x = cosec A

and 4/x = cot A

so find the value of 4(x^2 - 1/x^2 ) = ?

4(x^2 - 1/x^2)

= 4 (x - 1/x) (x + 1/x)

= 1/4 (4x - 4/x) (4x + 1/4x)

=1/4 (cosecA -cotA )(cosecA + cot A)

=1/4( cosec^2 A - cot^2A)

=1/4x1

=1/4