If cosec0=2x and cot0=2+x, find the value of 2(xsquare-1+xsquare).
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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