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The result tan1x-tan-1y=tan-1(x-y1+xy) is true when value of xy is ______. - Mathematics

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Question

The result `tan^1x - tan^-1y = tan^-1 ((x - y)/(1 + xy))` is true when value of xy is ______.

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Solution

The result `tan^1x - tan^-1y = tan^-1 ((x - y)/(1 + xy))` is true when value of xy is – 1.

Explanation:

The given result is true when xy > – 1.

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Chapter 2: Inverse Trigonometric Functions - Exercise [Page 40]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 2 Inverse Trigonometric Functions
Exercise | Q 47 | Page 40
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