If;
A = Adjacent
O = Opposite
H = Hypotenuse
Then,
Sin Ф = O/H
Cos Ф = A/H
Therefore,
(Sin Ф)/Cos Ф) = (O/H)/(A/H) = (O/H)*(H/A) = O/A
Now,
tan Ф = O/A ----
Therefore, it is true that
tan Ф = SinФ/CosФ
<span>The shortest path from a starting point to an endpoint, regardless of the path taken, is called the </span>geodesic. In flat (Euclidean) space it is simply a straight line.
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I hope this helps! let me know if you need help with anything else! I'd be happy to help you in anyway I can! :)