Search for: If cos(θ−α)=a and cos(θ−β)=b then sin2(α−β)+2abcos(α−β) is equal to If cos(θ−α)=a and cos(θ−β)=b then sin2(α−β)+2abcos(α−β) is equal to Aa2+b2Ba2-b2Cb2−a2D-a2-b2 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:∵α−β=(θ−β)−(θ−α)∴cos(α−β)=cos((θ−β)−(θ−α))=cos(θ−β)cos(θ−α)+sin(θ−β)sin(θ−α) and sin(α−β)=sin(θ−β)cos(θ−α)+cos(θ−β)sin(θ−α)⇒ cos(α−β)=b⋅a+1−a21−b2 .................(1) and sin(α−β)=a1−b2−b1−a2 Now, sin2(α−β)=a1−b2+b1−a22⇒ sin2(α−β)=a21−b2+b21−a2−2ab{cos(α−β)−ab} from eq (1)⇒ sin2(α−β)+2abcos(α−β)=a2−a2b2+b2−b2a2+2a2b2⇒ sin2(α−β)+2abcos(α−β)=a2+b2 Related content How to use NEET UG College Predictor 2024 to find your dream Medical College Is a Gap Certificate for NEET Repeaters Necessary? General Knowledge Questions With Answers on Islamic CBSE Class 10 Worksheets NEET Rank Predictor 2024: Calculate Your Rank by Marks Why to Choose Infinity Learn NEET Rank Predictor 2024 – The Most Accurate NEET Rank Predictor CBSE Class 10 Science MCQs CBSE Class 9 Science Structure of Atom MCQs Class 7 MCQs for All Subjects with Answers Raidas ke Pad Class 9