Search for: If 5sinxcosy=1,4tan x=tan y, then If 5sinxcosy=1,4tan x=tan y, then Ax=(m+n)π2+π4+(−1)n12sin−1−35,m,n∈ZBy=(n−m)π2+π4+(−1)m+112sin−1−35;m,n∈ZCx=(m+n)π2+π4+(−1)m12sin−135;m,n∈ZDy=(n−m)π2+π4+(−1)m+112sin−135;m,n∈Z Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:We have 5sin xcos y=1 and 4tan x=tan y∴ 5sinx cosy=1 and 4sin x cosy=sinycosx⇒sinx cosy=15 and cosx sin y=45⇒sin x cos y+cos x sin y=1⇒sin (x+y)=sin π2and sinx cosy−cosx siny=−35⇒sin(x−y)=sinsin−1−35⇒x+y=(2n+1)π2,n∈Zand x−y=mπ+(−1)msin−1−35;m∈Z⇒x=(m+n)π2+π4+(−1)m12sin−1−35;m,n∈Zand y=(n−m)π2+π4+(−1)m+112sin−1−35;m,n∈Z Related content CBSE Class 6 Science Chapter 1 Components of Food MCQ Questions with Answers Mother’s Day Quiz with Answers CBSE Class 9 History Chapter 1 MCQ Class 10 Science MCQ Chapter 3 Metals and Non-Metals How to Crack NEET in Drop Year? CBSE Class 9 Social Science MCQ CBSE Class 10 Science MCQs Chapter 2 Acids Bases and Salts CBSE Class 10 Science MCQs Chapter 1 Chemical Reactions and Equations with Answers How to Convert CGPA into Percentage CBSE Class 6 MCQs for All Subjects with Answers