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Unit 6 - Trigonometry

 

Unit 6: TRIGONOMETRY

By the end of this unit, you should be able to say “I CAN”…

Goal: The students will demonstrate the ability to analyze trigonometric functions and apply trigonometry to solve real-world problems.

 

a. Define and evaluate the six trigonometric ratios.

b. Solve triangles using trigonometric ratios.

c. Define radian measure and convert angle measures between degrees and radians.

d. Define the trigonometric functions in terms of the unit circle.

e. Develop basic trigonometric identities.

f. Use trigonometric functions to model and solve real-world problems, including right triangle relations, arc length, and speed.

 

Goal: The students will demonstrate the ability to sketch and analyze trigonometric graphs and apply trigonometry to solve real-world problems.

 

a. Graph the sine, cosine, and tangent functions.

b. Identify the domain and range of a basic trigonometric function.

c. Graph transformations of the sine, cosine, and tangent graphs.

d. Graph the cosecant, secant, and cotangent functions and their transformations.

e. Identify and sketch the period, amplitude (if any), and phase shift of the cosine, sine, and tangent functions.

f. Use trigonometric graphs to model and solve real-world problems.

 

 

Goal: The students will demonstrate the ability to solve trigonometric equations, investigate inverse trigonometric functions, and use trigonometric identities.

 

a. Solve trigonometric equations graphically and algebraically.

b. Define the domain and range of the inverse trigonometric functions.

c. Write a trigonometric function to model and solve real-world problems.

d. Apply strategies to prove identities.

e. Use the addition and subtraction identities for sine, cosine, and tangent functions.

f. Use the double-angle and half-angle identities.

g. Use identities to solve trigonometric equations.

h. Solve triangles using the Law of Cosines.

i. Solve triangles using the Law of Sines.