How do you do this question? (2021 CSSA Ext1 Trials Q13c) (1 Viewer)

OreoMcFlurry

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Hey guys, can someone please do this question and provide a solution to this question?
(please provide working)
1631154833082.png
 

Life'sHard

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What's the thing called when you let it be Rsin(x-alpha) then expand and equate.
 

OreoMcFlurry

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Auxiliary Angle method I think. I did do that, here's my working (I apologise for the messy work lol):

1631155264780.png

I got 3/4 marks (which isn't bad), so I lost one mark as there's supposed to be two solutions instead of one.
 

Life'sHard

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Auxiliary Angle method I think. I did do that, here's my working (I apologise for the messy work lol):

View attachment 32021

I got 3/4 marks (which isn't bad), so I lost one mark as there's supposed to be two solutions instead of one.
It's weird that they took out general solutions in the syllabus. X=pi/6 + 0.927 + 2kpi and X=-pi/6 + pi + 0.927 + 2kpi
 

CM_Tutor

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The other solution is , which is @Life'sHard's second solution with to get the solution in the required domain .
 

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