Examples for
Common Core Math: High School Functions: Trigonometric Functions
The six trigonometric functions—sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec) and cotangent (cot)—are initially defined geometrically in terms of ratios of the sides of right triangles. In advanced courses, high school students learn that trigonometric (often abbreviated as "trig") functions can be evaluated at any real number and can be interpreted in terms of circular motion. Students also define inverse trigonometric functions and apply trigonometric identities to solve equations involving trig functions.
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Graphing Trigonometric Functions
Plot trigonometric functions and identify attributes such as amplitude and period.
Plot trigonometric functions (CCSS.Math.Content.HSF-TF.B.5):
Analyze properties of trigonometric functions (CCSS.Math.Content.HSF-TF.B.5):
Values of Trigonometric Functions
Use right triangles and the unit circle to determine values of trigonometric functions.
Measure angles in radians (CCSS.Math.Content.HSF-TF.A.1):
Compute trigonometric ratios in special right triangles (CCSS.Math.Content.HSF-TF.A.3):
Construct and use the unit circle to find trigonometric values (CCSS.Math.Content.HSF-TF.A.2):
Demonstrate properties of trigonometric functions using the unit circle (CCSS.Math.Content.HSF-TF.A.4):
Inverse Trigonometric Functions
Define and compute with inverse trigonometric functions.
Invert trigonometric functions (CCSS.Math.Content.HSF-TF.B.6):
Use inverse functions to solve trigonometric equations (CCSS.Math.Content.HSF-TF.B.7):
RELATED EXAMPLES
Trigonometric Identities
Prove statements about trigonometric functions that are always true and apply them in various contexts.