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 Jun 11, 2025
-> The Indian Coast Guard Navik GD is a prestigious exam for those who want to serve the country in Defence Services.
-> A total of 260 vacancies have been released through the Coast Guard Enrolled Personnel Test (CGEPT) for the 01/2026 and 02/2026 batch.
-> Candidates can apply online from 11th to 25th June 2025.
-> Candidates who have completed their 10+2 with Maths and Physics are eligible for this post.
-> Candidates must go through the Indian Coast Guard Navik GD previous year papers.