Question
Download Solution PDFWhat is the value of cos (2tan-1 x + 2cot-1 x) ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
tan-1 x + cot-1 x = \(\rm \frac {π}{2}\)
Calculation:
To Find: Value of cos (2tan-1 x + 2cot-1 x)
cos (2tan-1 x + 2cot-1 x) = cos 2(tan-1 x + cot-1 x)
As we know, tan-1 x + cot-1 x = \(\rm \frac {π}{2}\)
cos (2tan-1 x + 2cot-1 x) = cos [2 × \(\rm \frac {π}{2}\) ]
= cos π
= -1
Last updated on May 19, 2025
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