Search for: If tanθtanπ3+θtan−π3+θ=ktan3θ, then the value of k, is If tanθtanπ3+θtan−π3+θ=ktan3θ, then the value of k, is A1B1/3C3D-1 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, tanθtanπ3+θtan−π3+θ=ktan3θ⇒ tanθtanθ+31−3tanθtanθ−31+3tanθ=ktan3θ⇒ tan3θ−3tanθ1−3tan2θ=ktan3θ⇒ −tan3θ=ktan3θ⇒k=−1Post navigationPrevious: The foci of a hyperbola coincide with the foci of the ellipse x225+y29=1. If the eccentricity of the hyperbola is 2, then the equation of the tangent of this hyperbola passing through the point ( 4, 6) isNext: If cosAcosB=n and sinAsinB=m, then m2−n2sin2B=Related content JEE Main 2023 Session 2 Registration to begin today 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