📐 Trigonometric Calculator (Degree)
Calculate trigonometric function values based on degrees in an equilateral triangle.
Unit Circle: sin = height, cos = base
Draw a right triangle inside a unit circle (radius = 1). The horizontal base always equals cos θ and the vertical height always equals sin θ — because the hypotenuse IS the radius (= 1).
Drag the slider to change the angle
cos θ = 0.7071base = cos θ
sin θ = 0.7071height = sin θ
r = 1hypotenuse = radius = 1
What are Trigonometric Functions?
Ratios of sides in a unit right triangle (hypotenuse=1) for a given angle. With hypotenuse set to 1:
sin θ = 대변 / 빗변
cos θ = 밑변 / 빗변
tan θ = 대변 / 밑변 = sin θ / cos θ
Reciprocal Functions
csc θ = 1 / sin θ (cosecant)
sec θ = 1 / cos θ (secant)
cot θ = 1 / tan θ (cotangent)
Special Angle Values
| θ | sin | cos | tan |
|---|---|---|---|
| 0° | 0 | 1 | 0 |
| 30° | 1/2 | √3/2 | 1/√3 |
| 45° | √2/2 | √2/2 | 1 |
| 60° | √3/2 | 1/2 | √3 |
| 90° | 1 | 0 | ∞ |
Pythagorean Identity
sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
1 + cot²θ = csc²θ