0 votes
in Inverse Trigonometric Functions by (22.3k points)
closed by

(i) The principal value of cos -1\((\frac{-1}{2})\)

(ii) Express tan-1 \(\frac{cos x} {1-sin x}\) in the simplest form

1 Answer

+1 vote
by (23.3k points)
selected by
Best answer

(i) cos-1 \(-\frac{1}{2}\) = π - cos\(\frac{1}{2}\) = π - \(\frac{π}{3}\) = \(\frac{2π}{3}\)

(ii) LHS = tan-1 (\(\frac{cosx}{1-sinx}\))

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.