Midcontinent Research for Education and Learning
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Common Core Mathematics 912
Cluster
Extend the domain of trigonometric functions using the unit circle
Grade 912
F.TF.1.
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
F.TF.2.
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
F.TF.3.
(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for ∏/3, ∏/4 and ∏/6, and use the unit circle to express the values of sine, cosine, and tangent for ∏–
x
, ∏+
x
, and 2 ∏ –
x
in terms of their values for
x
, where
x
is any real number.
F.TF.4.
(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.