Georgia standard · Mathematics

`G.GSR.7`Radians and Special Triangles

Explore the concept of a radian measure and special right triangles.

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Expectations

G.GSR.7.1
Explore and interpret a radian as the ratio of the arc length to the radius of a circle.
G.GSR.7.2
Explore and explain the relationship between radian measures and degree measures and convert fluently between degree and radian measures.
G.GSR.7.3
Use special right triangles on the unit circle to determine the values of sine, cosine, and tangent for 30° ($\frac{\pi}{6}$), 45° ($\frac{\pi}{4}$) and 60° ($\frac{\pi}{3}$) angle measures. Use reflections of triangles to determine reference angles and identify coordinate values in all four quadrants of the coordinate plane.

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