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Math - why sin(0) is equal 0?
11
points
Explaination why sin(0)=0
requires to refer to the function definition.
sin(α)
has been defined as:

Lets suppose that: alpha angle goes to zero (α -> 0
) and adjacent side is constant (b = const
).
It causes: opposite side goes to zero too (a -> 0
) and hypotenuse side goes to adjacent side (h -> b
). When angle is equal to 0
and a
is equal to 0
then 0
divided by h
is equal to 0
. It means sin(0)
is equal to 0
acording to above definition.

Simple visualisation is presented on below picture:
