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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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):

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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):

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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):

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Trigonometric Identities

Prove statements about trigonometric functions that are always true and apply them in various contexts.

Apply Pythagorean identities (CCSS.Math.Content.HSF-TF.C.8):

Apply the sum and difference identities for sine, cosine and tangent (CCSS.Math.Content.HSF-TF.C.9):

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