Search for: If sinxsiny=12,cosxcosy=32,where x,y∈0,π2, then the value of tan (x+y) is equal to If sinxsiny=12,cosxcosy=32,where x,y∈0,π2, then the value of tan (x+y) is equal to A13B14C17D15 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,sinxsiny=12, cosxcosy=32⇒ tanxtany=13tan(x+y)=tanx+tany1−tanxtany=4tanx1−3tan2x Also, siny=2sinx, cosy=23cosx⇒sin2y+cos2y=4sin2x+4cos2x9=1⇒ 36tan2x+4=9sec2x=91+tan2x⇒ 27tan2x=5⇒ tanx=533⇒ tan(x+y)=45331−1527=15Post navigationPrevious: If projection of any line on co-ordinate axis 3, 4, and 5, then its length isNext: The value of sin12∘sin48∘sin54∘ is equal toRelated content JEE Main 2023 Session 2 Registration to begin today 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