Search for: If xcosθ=ycosθ+2π3=zcosθ+4π3,then the value of 1x+1y+1z is equal to If xcosθ=ycosθ+2π3=zcosθ+4π3,then the value of 1x+1y+1z is equal to A1B2C0D3 cos θ 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:We have, xcosθ=ycosθ+2π3=zcosθ+4π3=k ⇒ cosθ=kx, cosθ+2π3=ky and cosθ+4π3=kz kx+ky+kz=cosθ+cosθ+2π3+cosθ+4π3 =cosθ−cosπ3−θ−cosπ3+θ =cosθ−2cosπ3cosθ=0 1x+1y+1z=0 Post navigationPrevious: If A+B+C=3π2,then cos2A+cos2B+cos2C is equal toNext: If α,β,γ∈0,π2 then the value of sin(α+β+γ)sinα+sinβ+sinγ isRelated content 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 NCERT Solutions For Class 6 Maths Data Handling Exercise 9.3 JEE Crash Course – JEE Crash Course 2023