Languages
[Edit]
EN

Math - why sin(0) is equal 0?

11 points
Created by:
AnnLen
1795

Explaination why sin(0)=0 requires to refer to the function definition.

sin(α) has been defined as:

Sine function definition.
Sine function definition.

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.

sin(0)=1 math explanation
sin(0)=1 math explanation

Simple visualisation is presented on below picture:

Why cos(0) is equal to 0? - explanation
Why sin(0) is equal to 0? - explanation
Hey 👋
Would you like to know what we do?
  • Dirask is a friendly IT community for learners, professionals and hobbyists to share their knowledge and help each other in extraordinary easy way.
  • We welcome everyone,
    no matter what the experience,
    no matter how basic the question is,
    this community will help you.