Math

Sine, Cosine, Tangent

Naranjito 2023. 4. 3. 14:03

Sine, Cosine and Tangent are the main functions used in Trigonometry and are based on a Right-Angled Triangle.

 

  • Right-Angled Triangle

 

A right-angled triangle (also called a right triangle) is a triangle with a right angle (90°) in it.


  • A name to each side of a right triangle

 


  • Sine, Cosine and Tangent

 



  • cos 0°, sin 0°, tan 0° or θ=

 

 

Here we have a right-angled triangle. The standard is the angle A. Let's imagine keeping the angle C at right angles and reducing the angle A infinitely close to zero degrees.

 

If we reduce the angle A to infinity, the hypotenuse and the adjacent of a right-angled triangle will be completely attached. Then, the opposite will be almost zero, and the hypotenuse and the adjacent will be almost the same.

Therefore,


  • cos 90°, sin 90°, tan 90° or θ=9

 

 

The hypotenuse increases infinitely and the opposite increases infinitely if the angle A is made close to 90 degrees. In other words, the opposite and hypotenuse increase to approximately the same level.

Therefore,

 

https://m.blog.naver.com/computingfarmer/222633797480

https://youtube.com/shorts/aTEyA82u52k?si=WcFyGPaZ6j6FdHO1

 

https://m.blog.naver.com/limchung90/221791718026

https://www.youtube.com/watch?v=VMrT1wwXxY0&list=PLBPUzs26iQhpxyBcHSs-dI9pW19jaslcq&index=7