Enter any angle in degrees or radians to find all six trig functions. For standard angles (multiples of 30° and 45°), exact fraction forms like √2/2 and √3/2 are shown.
For angle θ: point on unit circle = (cos θ, sin θ)
sin²θ + cos²θ = 1 (Pythagorean identity)
The unit circle has radius 1 centered at the origin. Every angle θ corresponds to a point (x, y) = (cos θ, sin θ) on the circle. The x-coordinate is always cos θ and the y-coordinate is always sin θ.
For standard angles (multiples of 30° = π/6 and 45° = π/4), exact values are expressible using simple fractions and square roots: 1/2, √2/2, and √3/2.
A live tutor can help you memorize the unit circle, understand exact values, and apply them to trig identities.