Question

if cosecA=2x and cotA=2/x ,find the value of 2(x²-1/x²)

Answer 1

Hi ,

Cosec A = 2x ----( 1 )

cot A = 2/ x-------( 2 )

we know the trigonometric identity

cosec² A - cot² A = 1

( 2x )² - ( 2 / x )² = 1 [ from ( 1 ) and ( 2 ) ]

4x² - 4 / x² = 1

4 ( x² - 1/ x² ) = 1

divide both sides of the equation by 2

2( x² - 1/ x² ) = 1/2

I hope this helps you.

:)