class 12 maths inverse trigonometric functions

The result ${\tan ^{ - 1}}x - {\tan ^{ - 1}}y = {\tan ^{ - 1}}\left( {\frac{{x - y}}{{1 + xy}}} \right)$ is true when the value of $xy$ is………………..

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📘 Inverse Trigonometric Functions NCERT,Ex.2.3,Q.47,Page.40 FillBlank

The result ${\tan ^{ - 1}}x - {\tan ^{ - 1}}y = {\tan ^{ - 1}}\left( {\frac{{x - y}}{{1 + xy}}} \right)$ is true when the value of $xy$ is………………..

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

We know that, ${\tan ^{ - 1}}x - {\tan ^{ - 1}}y = {\tan ^{ - 1}}\left( {\frac{{x - y}}{{1 + xy}}} \right)$
where, $xy > - 1$

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