Base:
Sides
u
u
u
Angles
°
°
°
Waiting for 3 properties...
SPECIAL TRIANGLES / UNIT CIRCLE
| DEGREES | RADIANS | SIN | COS | TAN |
|---|---|---|---|---|
| 0° | 0 | 0 | 1 | 0 |
| 30° | π/6 | 0.5 | √3/2 (≈0.866) | √3/3 (≈0.577) |
| 45° | π/4 | √2/2 (≈0.707) | √2/2 (≈0.707) | 1 |
| 60° | π/3 | √3/2 (≈0.866) | 0.5 | √3 (≈1.732) |
| 90° | π/2 | 1 | 0 | Undefined |
| ANGLE (°) | SIN | COS | TAN | ANGLE (°) | SIN | COS | TAN |
|---|
RIGHT TRIANGLE (SOH CAH TOA)
For angle θ:
sin(θ) = Opposite / Hypotenuse
cos(θ) = Adjacent / Hypotenuse
tan(θ) = Opposite / Adjacent
NON-RIGHT TRIANGLES
Law of Sines
a/sin(A) = b/sin(B) = c/sin(C)
Use when you know:
- Two angles and any side (AAS or ASA)
- Two sides and an angle opposite one of them (SSA)
Law of Cosines
c² = a² + b² - 2ab·cos(C)
Use when you know:
- Two sides and the included angle (SAS)
- Three sides (SSS)
PYTHAGOREAN THEOREM
a² + b² = c²
(where c is the hypotenuse)