Search for: If cos3x+sin2x−7π6=−2 then x=If cos3x+sin2x−7π6=−2 then x=Aπ3(6k+1),k∈ZBπ3(6k−1),k∈ZCπ3(2k+1),k∈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:We havecos3x+sin2x−7π6=−2⇒1+cos3x+1+sin2x−7π6=0⇒(1+cos3x)+1−cos2x−2π3=0⇒2cos23x2+2sin2x−π3=0⇒cos3x2=0 and sinx−π3=0⇒3x2=π2,3π2,… and x−π3=0,π,2π…⇒x=π3Therefore, the general solution is given byx=2kπ+π3=π3(6k+1), where k∈Z.Post navigationPrevious: A student obtained 60, 75 and 85 marks respectively in three monthly examinations in Mathematics and 95 marks in the final examination. The three monthly examinations are of equal weightage whereas the final examination is weighted twice as much as a monthly examination. The mean marks of Mathematics areNext: The mean deviation (approximately) from the mode for the data, is 20, 25, 30, 18, 15, 40Related 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