trig question | Mathematics | Page 1

bright pebble Jun 5, 2023, 3:32 PM

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Think of trig identities

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And use the fact that sin(x)=cos(x-pi/2) it may help

copper light Jun 5, 2023, 3:40 PM

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cosine law I suppose

bright pebble Jun 5, 2023, 3:41 PM

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bright pebble And use the fact that sin(x)=cos(x-pi/2) it may help

Also cosine is an even function

copper light Jun 5, 2023, 3:41 PM

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on the one hand the following holds

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$6^2=2^2+x^2-4x\cos \alpha$

hallow boughBOT Jun 5, 2023, 3:42 PM

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aL

copper light Jun 5, 2023, 3:43 PM

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on the other hand

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$(2\sqrt{5})^2 = x^2+2^2 - 4x\sin \alpha$

hallow boughBOT Jun 5, 2023, 3:44 PM

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aL

copper light Jun 5, 2023, 3:49 PM

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$4x\sin\alpha = x^2-16$

hallow boughBOT Jun 5, 2023, 3:49 PM

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aL

copper light Jun 5, 2023, 3:52 PM

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the triangle APB is sufficient to conclude the result

dense hearthBOT Feb 22, 2026, 12:00 AM

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@spare knoll

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#trig question