A friend of mine solved these pair of inverse trig equations simultaneously, claiming he did it with high school maths.(adsbygoogle = window.adsbygoogle || []).push({});

Well, I have a similar background ( & am a keen puzzle solver ) & could get nowhere with them !

Here they are :

ArcTan (8/x) = ArcCos ((x+y)/20)

ArcTan (8/y) = ArcCos ((x+y)/30)

Solve these inverse trigonometric equations for x & y

( I will be extrememely embarrased if the method is trivial, so please forgive me if i've wasted your time )

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# Please help solve simultaneous inverse trig equations

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