Search for: The general solution of the equation sin2x+2sinx+2cosx+1=0 , is The general solution of the equation sin2x+2sinx+2cosx+1=0 , is A3nπ−π4,n∈ZB2nπ+π4,n∈ZC2nπ+(−1)nsin−113,n∈ZDnπ−π4,n∈Z 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:we have, sin2x+2sinx+2cosx+1=0⇒ (1+2sinxcosx)+2(sinx+cosx)=0⇒ (sinx+cosx)2+2(sinx+cosx)=0⇒ (sinx+cosx){sinx+cosx+2}=0⇒ sinx+cosx=0 [∵−2≤sinx+cosx≤2]∴sinx+cosx≠−2 ⇒ tanx=−1⇒ x=nπ−π4,n∈Z Related content Autism Spectrum Disorder Sine and Cosine Waves Hindu Festivals List 2024 JEE Main Eligibility Criteria 2024 Session 2 (Released), Age Limits, Qualifying Marks, and Important Factor MCQs on Plant Hormones Class 10 5 Reasons To Choose The Commerce Stream After 10th Fl Words Homophones 9 Letter Words Tr Words: Check the List of Words Containing ‘Tr’