Search for: If cosα+cosβ=m and sinα+sinβ=n, then sin(α+β)=If cosα+cosβ=m and sinα+sinβ=n, then sin(α+β)=Am2-n2m2+n2Bn2-m2m2+n2C2mnm2+n2D2mnm2-n2 Register to Get Free Mock Test and Study Material +91 Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:m=cosα+cosβ=2cosα+β2cosα-β2n=sinα+sinβ=2sinα+β2cosα-β2∴ nm=tanα+β2 Now,sinα+β=2tanα+β21+tan2α+β2=2nm1+n2m2=2mnm2+n2 Post navigationPrevious: Let R be a relation defined by R=a,b:a≥b, where a and b real numbers, then R is Next: If a= cosα + cosβ- cos(α+ β), b = 4sin α2 sinβ2 cosα+β2 , then a-b= Related content JEE Main 2023 Result: Session 1 NEET 2024 JEE Advanced 2023 NEET Rank Assurance Program | NEET Crash Course 2023 JEE Main 2023 Question Papers with Solutions JEE Main 2024 Syllabus Best Books for JEE Main 2024 JEE Advanced 2024: Exam date, Syllabus, Eligibility Criteria JEE Main 2024: Exam dates, Syllabus, Eligibility Criteria JEE 2024: Exam Date, Syllabus, Eligibility Criteria