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Find angles x and y, each between 0 and 90 degrees,

which satisfy the simultaneous equations

 

\(\displaystyle \cos x \cos y = 0.6, \\ \displaystyle \sin x \sin y \, = 0.2.\)

 Jul 18, 2023
 #2
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cosxcosy - sinxsiny = cos(x + y) = 0.6 - 0.2 = 0.4,    x + y = arccos(0.4).

cosxcosy + sinxsiny = cos(x - y) = 0.6 + 0.2 = 0.8,   x - y = arccos(0.8).

etc.

 Jul 19, 2023

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