Welcome to the trigonometry tutorial! Here, you will find everything you need to understand the basics of trigonometry.

Basic Concepts

  • Sine (sin): The ratio of the length of the opposite side to the hypotenuse.
  • Cosine (cos): The ratio of the length of the adjacent side to the hypotenuse.
  • Tangent (tan): The ratio of the length of the opposite side to the adjacent side.

Formulas

Here are some important formulas in trigonometry:

  • Pythagorean Identity: sin²(θ) + cos²(θ) = 1
  • Co-function Identity: sin(θ) = cos(90° - θ)
  • Sum and Difference Formulas: sin(α + β) = sin(α)cos(β) + cos(α)sin(β) cos(α + β) = cos(α)cos(β) - sin(α)sin(β)

Practice Problems

Would you like to test your knowledge? Check out our trigonometry practice problems.

Images

Here are some trigonometric functions represented graphically:

Sine Function
Cosine Function
Tangent Function

Remember, practice makes perfect! Keep exploring the wonders of trigonometry.