This module introduces trigonometric identities, which are crucial for simplifying expressions and solving equations in trigonometry. Mastering these identities is essential for higher-level math.
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This module serves as an introductory lesson on trigonometric functions, specifically focusing on sine, cosine, and tangent. Understanding these basic functions is crucial for mastering trigonometry.
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This module continues the exploration of trigonometric functions by providing an additional example of calculating sine, cosine, and tangent in right triangles. The aim is to solidify knowledge from the previous module.
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This module introduces the concept of radians, a vital measurement in trigonometry. Understanding radians and their relationship to degrees is essential for accurate trigonometric calculations.
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This module focuses on utilizing trigonometric functions to solve the sides of right triangles. It provides practical applications and problem-solving techniques essential for mastering trigonometry.
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This module provides additional examples of using trigonometric functions to solve the sides of triangles. It builds on the previous module with more complex problems and applications.
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This module introduces the unit circle and its significance in defining trigonometric functions. The unit circle is a powerful tool for understanding trigonometry more deeply.
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This module continues the exploration of the unit circle by defining the sine, cosine, and tangent functions through its framework. Mastery of these concepts is crucial for understanding trigonometry.
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This module focuses on graphing the sine function, utilizing its definition from the unit circle. Graphing is an essential skill in trigonometry, providing visual understanding of functions.
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This module explores the graphs of various trigonometric functions, enhancing your understanding of their behaviors and properties. It lays the groundwork for future graphing techniques.
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This module focuses on analyzing the amplitude and periods of sine and cosine functions. Understanding these characteristics is essential for mastering trigonometric graphs.
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This module teaches how to determine the equations of trigonometric functions by inspecting their graphs. This skill is crucial for applying trigonometry effectively in various contexts.
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This module focuses on determining the equations of sine and cosine functions by analyzing their amplitude and period. A solid understanding of these concepts is essential for graphing and application.
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This module introduces trigonometric identities, which are crucial for simplifying expressions and solving equations in trigonometry. Mastering these identities is essential for higher-level math.
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This module provides a detailed proof of the identity sin(a+b) = (cos a)(sin b) + (sin a)(cos b). Understanding this proof is crucial for mastering trigonometric identities.
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This module presents a proof of the identity cos(a+b) = (cos a)(cos b)-(sin a)(sin b). Mastering this proof is essential for a deeper understanding of trigonometric identities.
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This module continues the exploration of trigonometric identities with a focus on more complex identities. Engaging with these identities is essential for advanced problem solving in trigonometry.
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This module further explores trigonometric identities, providing more examples and applications to solidify understanding. Mastery of these concepts is vital for advanced trigonometric applications.
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This module introduces trigonometry word problems, focusing on real-world applications of trigonometric concepts. Solving these problems enhances understanding and application of trigonometric functions.
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This module continues the exploration of trigonometry word problems, focusing on a specific scenario involving a ship captain going off course. It emphasizes problem-solving techniques.
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This module introduces the law of cosines, a fundamental theorem for solving triangles when two sides and an angle are known. Understanding this law is crucial for advanced trigonometry.
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This module presents a navigation word problem involving two ships colliding, showcasing the application of trigonometric concepts in real-life scenarios. Understanding this problem enhances practical knowledge.
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This module provides a proof of the law of sines, a fundamental theorem in trigonometry. Understanding this proof is essential for solving triangles with known angles and sides.
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This module presents a trigonometry problem involving a ferris wheel, focusing on the height of two people on the ride. It illustrates practical applications of trigonometric functions.
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This module continues the exploration of the ferris wheel problem, providing a graph of the height function h(t) = 9 - 8cos(18t). It emphasizes the application of cosine functions in real-world contexts.
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This module presents a fun trigonometry problem involving a quadratic equation. It challenges students to apply their knowledge of trigonometric concepts to solve engaging problems.
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This module introduces inverse trigonometric functions, starting with arcsin. Understanding these functions is essential for solving equations where angles are unknown.
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This module continues the exploration of inverse trigonometric functions, focusing on arctan. Understanding arctan is vital for working with angles in various trigonometric applications.
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This module introduces the inverse cosine function, arccos, which is essential for finding angles when the cosine value is known. Mastery of arccos aids in solving various trigonometric equations.
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This module reviews trigonometric identities, focusing on revisiting proofs and applications. Students will consolidate their knowledge through various examples and applications in trigonometric problems.
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