mitchelldemez
mitchelldemez mitchelldemez
  • 09-08-2017
  • Mathematics
contestada

Find all solutions of the equation. 5 sin x - 8 = 3 sin x- 7

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ghanami
ghanami ghanami
  • 09-08-2017
hello :
5 sin x - 8 = 3 sin x- 7 
5 sin x - 3 sin x = 8 - 7 
2sinx =1
sinx =1/2 
but : sin(π/6 ) = 1/2
so : sinx = sin(π/6 )
ll solutions  :   x = π/6 +2kπ    or x= π - π/6 +2kπ   ...k in : Z
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good job