i need help understanding and memorizing law of sines please help.

[inner wing]

The fourth choice.
The left options are displaying incorrect values for the law of sin. The top right choice also has wrong values for the law of cosines.

[alpine grotto]

you can derive the law of sines by just dropping an altitude on a generic triangle

i know this doesn't really matter here but the same goes for the law of cosines

if you're also studying that

[uneven pond]

Wait wot

[alpine grotto]

yeah like you get 2 right triangles where sohcahtoa works

then you should get the formulas

though law of sines requires you to drop the altitudes on 3 vertices s. t. you get the famous triple equation

[deft iron]

https://youtu.be/843Uw-Hj-OQ?si=p-CLLD0zySCXIeMz

easy proof

[nocturne owl]

just memorise the cosine law

[drifting skiff]

can you guys recommend videos or resources in order to understand and memorize law of sines and law of cosine??

ty for the help!!

[median hound]

The way I remember law of sines is it's just sin(a)/a = sin(b)/b = sin(c)/c

So it's any side and their opposite angle with any other side and their opposite angle

U can also turn it upside down, taking its reciprocal to get a/sin(a) = b/sin(b) = c/sin(c) if it makes the math easier in whatever case ur doing

as for law of cosines it's a little sillier to memorize