sin-2x-sin-2y-4-9-cos-x-y-1-sin-x-y-0-lt-x-lt-pi-2-0-lt-y-lt-pi-2-find-the-value-of-sin-x-y-a-2-3-b-1-3-c-1-9-d-2-9-e-2-3- Tinku Tara June 4, 2023 Trigonometry 0 Comments FacebookTweetPin Question Number 105243 by bemath last updated on 27/Jul/20 {sin2x+sin2y=49cos(x−y)=1−sin(x+y)0<x<π2;0<y<π2findthevalueofsin(x+y)(a)−23(b)−13(c)19(d)29(e)23 Answered by bramlex last updated on 27/Jul/20 ⇒2sin(x+y)cos(x−y)=49…(1)⇒cos(x−y)=1−sin(x+y)…(2)letsin(x+y)=v⇒2v.(1−v)=492v2−2v+49=0v2−v+29=0v=1+1−4.(29)2=1+132∴sin(x+y)=46=23note0<x+y<πthensin(x+y)>0 Commented by bemath last updated on 27/Jul/20 afdolll Answered by Dwaipayan Shikari last updated on 27/Jul/20 sin2x+sin2y=2sin(x+y)cos(x−y)⇒2sin(x+y)(1−sin(x+y))=49⇒2sin2(x+y)−2sin(x+y)+49=0⇒sin(x+y)=2+4−3294=2+234=23 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Question-39706Next Next post: Question-105242 Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.