Mathematics | Course : Model Advanced Quantitative Reasoning (Advanced Course)
Domain - Trigonometric Functions
Cluster - Extend the domain of trigonometric functions using the unit circle.
[AQR.F-TF.A.4] - (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
- Trigonometric function
A function (as the sine, cosine, tangent, cotangent, secant, or cosecant) of an arc or angle most simply expressed in terms of the ratios of pairs of sides of a right-angled triangle.
[GEO.G-SRT.C.7] -
Explain and use the relationship between the sine and cosine of complementary angles.
[AII.F-IF.C.7.e] -
Graph exponential and logarithmic functions, showing intercepts and end behavior; and trigonometric functions, showing period, midline, and amplitude.*
[AII.F-TF.A.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.
[MII.G-SRT.C.7] -
Explain and use the relationship between the sine and cosine of complementary angles.
[MIII.F-TF.A.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.
[PC.F-TF.B.6] -
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.