If X=Tan2e and Y=cot2e, then find (XY).
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The Arthashastra is an Indian treatise on politics, economics, military strategy, the function of the state, and social organization attributed to the philosopher and Prime Minister Kautilya (also known as Chanakya, Vishnugupta, l. c. 350-275 BCE) who was instrumental in establishing the reign of the great
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x=tan(e
−y
)
tan
−1
(x)=e
−y
Now on differentiation, we get;
1+x
2
1
=−e
−y
dx
dy
dx
dy
=
1+x
2
−e
−y
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