Search for: If A>0,B>0 and A+B=π6then the minimum value of tanA+tanB is If A>0,B>0 and A+B=π6then the minimum value of tanA+tanB is A3−2B4−23C23D2−3 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 know that, tan(A+B)=tanA+tanB1−tanAtanB⇒13=y1−tanAtanB, where y=tanA+tanB⇒tanAtanB=1−3yAlso A.M. ≥ G.M. ⇒tanA+tanB2≥tanAtanB⇒y≥21−3y⇒y2≥4−43y⇒y2+43y−4≥0⇒y≤−23−4 or y≥−23+4 Related content Oppositional Defiant Disorders Good Friday Wishes CBSE Class 9 Physics Motion Worksheet 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