1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

022-62211530

Mon to Sat - 11 AM to 8 PM

# Dear sir , please solve this question

Asked by 19th April 2010, 10:10 AM

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 Expert 23rd April 2010, 2:53 AM
• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• 10

You have rated this answer /10

### Free related questions

RELATED STUDY RESOURCES :

### Latest Questions

ICSE X Chemistry
Asked by suchananag2002 10th December 2018, 1:46 PM
CBSE X Mathematics
Asked by acv27joy 10th December 2018, 1:18 PM