Search for: If cos x = tan y, cot y = tan z and cot z = tan x, then sin x is equal toIf cos x = tan y, cot y = tan z and cot z = tan x, then sin x is equal toA5+14B5-14C5+12D5-12 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:Given ,cos x = tan y, cot y = tan z and cot z = tan x ∴ cosx=tany⇒ cosx=1tanz⇒ cosx=cotz⇒cosx=tanx⇒ cosx=sinx/cosx⇒cos2x=sinx⇒ 1−sin2x=sinx⇒sin2x+sinx−1=0∴ sinx=−1±1−4×(−1)2×1=−1±52⇒ sinx=5−12 ∵−1−52<−1 Post navigationPrevious: lf A,B,C and D are the angles of a cyclic quadrilateral, then cos A + cos B + cos C + cos D is equal toNext: If tanθ,2tanθ+2 and 3tanθ+3 are in GP, then the value of 7−5cotθ9−4sec2θ−1 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