Trigonometric Functions
Options
Results
sine
sin(0.5) =
cosecant
csc(2) =
inverse sine
arcsin(0.5) = °
inverse cosecant
arccsc(2) = °
What are Trigonometric Functions?
Trigonometric functions are fundamental mathematical functions that relate the angles of a right-angled triangle to the ratios of its side lengths. The main functions are sine (sin), cosine (cos), and tangent (tan), along with their reciprocals: cosecant (csc), secant (sec), and cotangent (cot). This calculator also handles their inverses (e.g., arcsin) and the special atan2 function.
How to Use
- Select the Sides involved relevant to the function you need (e.g., "Opposite & hypotenuse" for sine).
- Input the known value(s) in the corresponding field(s).
- Choose the desired Result Unit (Degrees or Radians) for inverse functions.
- Adjust the Number of decimal places for the results.
- The calculated results for the selected group of functions appear automatically on the right.
Advantages & Use Cases
- Versatility: Essential in physics (waves, oscillations), engineering (signals, structures), computer graphics (rotations), navigation, and more.
- Problem-Solving: Solve for unknown angles or side lengths in triangles and complex geometric problems.
- Periodic Modeling: Model repeating patterns like sound waves, light waves, and alternating current.
- Coordinate Systems: Convert between Cartesian and polar coordinates.