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Using a unit circle can help develop a deeper understanding of working with right-angled triangles.
In this lesson, students explore the behaviour of a radius vector as it rotates around a unit circle. The coordinates of the end of the radius are (cos θ, sin θ), where θ is the anticlockwise angle from the positive x-axis. This provides a way to introduce students to the sine and cosine ratios as functions of an angle, and avoids the need to memorise SOHCAHTOA and procedures that may be poorly understood.
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