CBSE Class 11-science Answered
A,B are 2 different values of x between 0&180 which satisfies 6cosx+8sin=9.Find sin(a+B).
Asked by | 04 Oct, 2008, 12:48: PM
Expert Answer
divide the eqn by (62 + 82) = 10 both side we get 6/10(cosx)+8/10(sinx)=9/10 let sin m =6/10..==>cos m = 8/10
so eq. becomes sin m cos x + cos m sin x = 9/10====> sin(m + x) = 9/10..
this eqn has two soln..===> x = arc sin 9/10 - m and x = 180 - (arc sin 9/10 - m ) so the soln is {where arc is inverse function}
x = A = arc sin 9/10 - arc sin 6/10 and x = B = 180 - (arc sin 9/10 - arc sin 6/10)
so A+B = 180..=====> sin (A+B) = sin(180) = 0
Answered by | 16 Dec, 2008, 09:35: PM
Application Videos
Concept Videos
CBSE 11-science - Maths
Asked by sampabarman328 | 18 Apr, 2024, 01:20: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by tahikpreet0001 | 17 Apr, 2024, 06:41: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by nitinkrjsr07082008 | 15 Apr, 2024, 11:32: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by kanhaparashar17 | 04 Apr, 2024, 12:55: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by dseno1741 | 29 Mar, 2024, 08:47: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by parvanipatil09 | 29 Mar, 2024, 10:12: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by rishithatelaprolu84 | 29 Mar, 2024, 08:32: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Manjeet | 23 Mar, 2024, 09:41: PM
ANSWERED BY EXPERT