Search for: If x∈(1,∞), then sin−12×1+x2 equals If x∈(1,∞), then sin−12x1+x2 equals A2 tan−1xBπ -2 tan−1xC-π -2 tan−1xDnone of these Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:Let tan−1x=θ. Then, x=tanθNow, x∈(1,∞)⇒tanθ>1⇒π4<θ<π2⇒π2<2θ<π∴ sin−12x1+x2 = sin−1(sin2θ) = sin−1(sin(π−2θ)) = π−2θ ∵π4<θ<π2⇒−π2<π−2θ<0 =π−2tan−1x Related content CBSE Data Handling Class 7 Worksheet Keeping Quiet Class 12 English MCQ Question with Answer CBSE Nationalism in India Class 10 MCQs History Chapter 3 NEET 2024 Cutoff for Ayurveda Toughest and Easiest Chapters in CBSE Class 12 Chemistry Who Will Conduct JEE Mains 2025, Important Dates, Syllabus, Eligibility, Pattern, Top IITs In India CBSE Consumer Rights Class 10 MCQs CBSE Class 8 Social Science History Chapter 1 How When and Where MCQs Jainism Symbol: Exploring Jain Values NEET Cut Off for BDS