CBSE Class 11-science Answered
Dear sir , please solve this question
Asked by | 19 Apr, 2010, 10:10: AM
Expert Answer
Dear Student,
The solution to your problem is as follows:
6cosα + 8sinα = 9
=> (6cosα)2 = (9 - 8sinα )2
=> 36cos2α = 81 + 64sin2α - 144sinα
=>36(1-sin2α) = 81 + 64sin2α - 144sinα
=> 81 - 36 + 64sin2α + 36sin2α - 144sinα = 0
=> 100sin2α - 144sinα + 45 = 0
This is a quadratic eqn in sinα, solving it by D-method, we get the two solutions as
=> sinα = 0.9815 , 0.4585
=> x = 78.962 , y = 27.288
Hence,
sin(x+y) = sin (78.962 + 27.288) = sin (106.25) = 0.96005
Regards Topperlearning.
Answered by | 23 Apr, 2010, 02:53: AM
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