Simultaneous equations in the sums of cosines and sines of two angles
Simultaneous equations in the sums of cosines and sines of two angles
IB Year 6 | Grade 12
5 marks
Solve the simultaneous equations \(\cos x+\cos y=0.8\) and \(\sin x+\sin y=1.5\), where \(0<x<\pi\) and \(0<y<\pi\). Give your answers correct to \(3\) significant figures.[5]
Solution:
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Answer:\((x,y)=(1.64,\ 0.526)\) or \((0.526,\ 1.64)\) (3 s.f.)
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