Interactive Trigonometry

Visualize Sine, Cosine, and Tangent on the Unit Circle.

Angle (θ) 45°

0° 90° 180° 270° 360°

sin(θ)

0.707

cos(θ)

0.707

tan(θ)

1.000

SINE (sin) = Opposite / Hypotenuse
In the unit circle (radius=1), this is the y-coordinate.

COSINE (cos) = Adjacent / Hypotenuse
In the unit circle, this is the x-coordinate.

TANGENT (tan) = Opposite / Adjacent
This represents the slope of the line.

Practical Problem: Height of a Building

You are standing d meters away from a building. You look up at the top with an angle of elevation θ. How tall is the building?

Distance (d)

Angle (θ) in Degrees

Calculated Height

0.00 m

Formula: h = d × tan(θ)

Building

You