Search for: Let S=θ∈[−2π,2π]:2cos2θ+3sinθ=0Then the sum of the elements of S is : Let S=θ∈[−2π,2π]:2cos2θ+3sinθ=0Then the sum of the elements of S is : A2πBπC5π/3D13π/6 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:Given, 2cos2θ+3sinθ=0⇒21−sin2θ+3sinθ=0⇒2−2sin2θ+3sinθ=0⇒2sin2θ−4sinθ+sinθ−2=0⇒2sinθ(sinθ−2)+1(sinθ−2)=0⇒(2sinθ+1)(sinθ−2)=0⇒sinθ=−12 [∵ sinθ−2≠0]⇒ θ=−π6,−5π6,7π6,11π6Required sum =−π−5π+7π+11π6=12π6=2π Related content CBSE Class 7 English Honeycomb Chapter 2 A Gift of Chappals MCQ Questions with Answers Top Career Option and Courses after 12th 2024: Arts, Commerce & Science Students CBSE Class 7 English MCQ Questions with Answers CBSE Class 12 English Lost Spring MCQ with Answers Heron’s Formula Class 9 Worksheet Maths Chapter 12 CBSE Class 12 English The Last Lesson MCQ with Answers Was NEET 2024 Paper Leaked? Check NTA Official Press Release CBSE Class 10 English Chapter 1 Worksheets -A Letter to God Disaster Management Project for Class 9 ICSE ISC Topper List 2024, Check ISC Class 12 Topper List for Science, Commerce, Arts