LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
in Mathematics by (23.9k points)
edited by

If x is any real number then show that cos θ cannot be equal to x + 1/x.

1 Answer

+2 votes
by (59.0k points)
selected by
Best answer

We know,

Range of cos θ is -1.

If cos θ = x + 1/x

if x > 1 then 1/x < 1

Ultimately x + 1/x > 1

Which shows, cos θ > 1 which is not possible.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.