• ### D.1. Right Triangle Trigonometry

3. #### D.1.1. Evaluating Trigonometric Functions

1. D.1.1.O. Overview
2. D.1.1.1. Find the exact values of trigonometric functions given sides of a right triangle
3. D.1.1.3. Evaluate trigonometric functions given the measure of an acute angle
4. #### D.1.2. Trigonometric Identities

1. D.1.2.O. Overview
2. D.1.2.1. Find the value of the trigonometric function using trigonometric identities
5. #### D.1.3. Solving Right Triangles

1. D.1.3.O. Overview
2. D.1.3.1. Solve a right triangle given a side length and angle measure
3. D.1.3.2. Solve a right triangle using inverse trig
4. D.1.3.3. Word Problems – Angle of Elevation
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• ### D.2. Radian and Degree Measure

3. #### D.2.1. Angle Measures

1. D.2.1.O. Overview
2. D.2.1.1. Determine the quadrant in which each angle lies
3. D.2.1.2. Sketch the angle in standard position
4. D.2.1.3. Find one positive and one negative coterminal angle
5. D.2.1.4. Find the complement and supplement of each angle
4. #### D.2.2. Radian and Degree Conversions

1. D.2.2.O. Overview
2. D.2.2.1. Convert the angle from degrees to radians
3. D.2.2.2. Convert the angle from radians to degrees
4. D.2.2.3. Convert the degree angle measure from degrees-minutes-seconds to decimal form
5. D.2.2.4. Convert the degree angle measure from decimal form to degrees-minutes-seconds
5. #### D.2.3. Arc Length, Area of Sector, Linear Speed, and Angular Speed

1. D.2.3.O. Overview
2. D.2.3.1. Find the arc length given radius and central angle
3. D.2.3.2. Find the central angle given radius and arc length
4. D.2.3.3. Find the area of the sector given radius and central angle
5. D.2.3.4. Word Problems – find angular speed given revolutions per minute
6. D.2.3.5. Word Problems – find linear speed given diameter and revolutions per minute
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• ### D.3. The Unit Circle

3. #### D.3.1. Evaluating Trigonometric Functions

1. D.3.1.O. Overview
2. D.3.1.1. Find the point on the unit circle that corresponds to the given angle
3. D.3.1.2. Evaluate trigonometric functions given an angle measure using the unit circle
4. D.3.1.3. Evaluate trigonometric functions using the calculator
5. D.3.1.4. Use the period of the function to evaluate sine and cosine
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• ### D.4. Trigonometric Functions of Any Angle

3. #### D.4.1. Evaluating Trigonometric Functions

1. D.4.1.O. Overview
2. D.4.1.3. Find the value of trigonometric functions given an equation and quadrant
3. D.4.1.4. Find the value of trigonometric functions of quadrantal angles
4. D.4.1.6. Find the value of trigonometric functions using a calculator
4. #### D.4.2. Reference Angles

1. D.4.2.O. Overview
2. D.4.2.1. Find the reference angle given an angle measure
3. D.4.2.2. Use reference angles to evaluate trigonometric functions
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• ### D.5. Inverse Trigonometric Functions

3. #### D.5.1. Evaluating Inverse Trigonometric Functions Without Using the Calculator

1. D.5.1.O. Overview
2. D.5.1.1. Evaluate Inverse Sine
3. D.5.1.2. Evaluate Inverse Cosine
4. D.5.1.3. Evaluate Inverse Tangent
5. D.5.1.4. Evaluate any inverse function using the graphing calculator
4. #### D.5.2. Compositions of Trigonometric Functions

1. D.5.2.O. Overview
2. D.5.2.1. Use the properties of inverse trigonometric functions to evaluate the expression
3. D.5.2.2. Find the exact value of the composite trigonometric function
4. D.5.2.3. Write an algebraic expression that is equivalent to the expression
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• ### D.6. Law of Sines

3. #### D.6.1. Solving triangles using the Law of Sines

1. D.6.1.O. Overview
2. D.6.1.1. Solve a triangle given two angles and one side – AAS
3. D.6.1.2. Solve a triangle given two angles and one side – ASA
4. D.6.1.3. Solve a triangle given two sides and one angle (1 solution) – SSA
5. D.6.1.4. Solve a triangle given two sides and one angle (2 solutions) – SSA
6. D.6.1.5. Solve a triangle given two sides and one angle – SSA
4. #### D.6.2. Finding the Area of an Oblique Triangle using the Law of Sines

1. D.6.2.O. Overview
2. D.6.2.1. Find the area of an oblique triangle given one angle and two sides
3. D.6.2.2. Word Problems – Find the distance
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• ### D.7. Law of Cosines

3. #### D.7.1. Solving triangles using the Law of Cosines

1. D.7.1.O. Overview
2. D.7.1.1. Solve a triangle given three sides – SSS
3. D.7.1.2. Solve a triangle given two sides and the included angle – SAS
4. D.7.1.3. Word Problems – Find the distance
5. D.7.1.4. Word Problems – Find the angle
4. #### D.7.2. Heron’s Area Formula

1. D.7.2.O. Overview
2. D.7.2.1. Find the area of the triangle using Heron’s formula
3. D.7.2.2. Word Problems – Find the area
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• ### D.8. Graphs of Trigonometric Functions

3. #### D.8.1. Graphs of Sine and Cosine Functions

1. D.8.1.O. Overview
2. D.8.1.1. Graph the Sine Function
3. D.8.1.2. Graph the Cosine Function
4. D.8.1.3. Graph the Sine and Cosine Function with horizontal and vertical shifts
4. #### D.8.2. Graphs of Tangent and Cotangent Functions

1. D.8.2.O. Overview
2. D.8.2.1. Graph the Tangent Function
3. D.8.2.2. Graph the Cotangent Function
5. #### D.8.3. Graphs of Cosecant and Secant Functions

1. D.8.3.O. Overview
2. D.8.3.1. Graph the Cosecant Function
3. D.8.3.2. Graph the Secant Function
6. #### D.8.4. Graphs of Inverse Trigonometric Functions

1. D.8.4.O. Overview
2. D.8.4.1. Graph the Arcsine Function
3. D.8.4.2. Graph the Arccosine Function
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• ### D.9. Applications and Models of Trigonometric Functions

3. #### D.9.1. Right Triangle Models

1. D.9.1.O. Overview
2. D.9.1.1. Solve the right triangle to find the missing height
3. D.9.1.2. Find the distance between two objects
4. D.9.1.3. Find the angle of elevation or depression
4. #### D.9.2. Trigonometry and Bearings

1. D.9.2.O. Overview
2. D.9.2.1. Find the ship’s bearing and distance from the port
5. #### D.9.3. Simple Harmonic Motion

1. D.9.3.O. Overview
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