Search for: If 16sinx,cosx,tanx are in G.P., then r is equal toIf 16sinx,cosx,tanx are in G.P., then r is equal toAnπ±π3,n∈ZB2nπ±π3,n∈ZCnπ+(−1)nπ3,n∈ZDnone of these 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:It is given that 16sinx,cosx,tanx are in GP. ∴ cos2x=16sinx tanx⇒6cos2x=sinx tanx⇒ 6cos3x+cos2x−1=0⇒ cosx−126cos2x+4cosx+2=0⇒ cosx=12∵cos2x+4cosx+2=0 has imaginary roots ⇒ cosx=cosπ3⇒ x=2nπ±π3,n⇒Z. Post navigationPrevious: The most general solution of21+|cosx|+cos2x+cos3x+…=4 is given byNext: If A=1 0 00 1 10 −2 4,6A−1=A2+cA+dI, then (c,d)=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