Search for: The values of 4 sin2 θ- cos 2 θ lies in the intervalThe values of 4 sin2 θ- cos 2 θ lies in the intervalA-1, 5B-1, 5C(-∞, -1) ∪ 5, ∞Dnone 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:Let x=4sin2θ−cos2θ. Then, x=2(1−cos2θ)−cos2θ⇒ x=2−3cos2θNow, −3≤−3cos2θ≤3 [∵−1≤cos2θ≤1]⇒ 2−3≤2−3cos2θ≤2+3⇒ −1≤x≤5⇒x∈[−1,5]. Post navigationPrevious: The ratio of the greatest value of 2−cosx+sin2x, is to its least value, isNext: The eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x−3y=2, isRelated content 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 NEET Crash Course – NEET Crash Course 2023 JEE Advanced Crash Course – JEE Advanced Crash Course 2023