Interactive unit circle and trig graphs

Turn the angle and watch the point on the unit circle trace the sine and cosine graphs, with exact values for the special angles and the signs in each quadrant.

Learn trigonometry properly

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Questions students ask

Why is sin²θ + cos²θ = 1?

On the unit circle the point (cos θ, sin θ) is always 1 from the centre, so by Pythagoras cos²θ + sin²θ = 1.

What is the CAST rule?

In the four quadrants, starting from the fourth and going anticlockwise: Cos, All, Sin, Tan are positive.

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