if 2 x is equal to sec theta and 2/x =tan theta then find the value of 2 * x square minus 1/xsquare
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2cosec^2theta-sin^2theta
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Answer:2x=sec theta
= x =sec theta/2
Squaring both the sides
= x square = (sec theta/2)whole square
= x square = (sec square theta) /4 _ _ _ 1
=2/x = tan theta
=1/x = tan theta/2
Squaring both the sides
=(1/x) square = ( tan theta/2)square
=1/x square = tan square theta /4 _ _ _2
Now 2(x square - 1/x square)
From 1 and 2
= 2(sec square theta/4 - tan square theta /4)
= 2((sec square theta - tan square theta)/4)
= (sec square theta - tan square theta)/2
(Since sec square theta - tan square theta = 1 )
Therefore 1/2 (Ans)
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