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This video goes over every single topic found on the “AP Precalculus Unit 3 Progress Check A” in AP classroom on the College Board website.
The topics in the video include...
**3.8 The Tangent Function**: This section introduces the tangent function, which is one of the fundamental trigonometric functions. It explores its definition, properties, and graphs.
**3.9 Inverse Trigonometric Functions**: Inverse trigonometric functions are discussed here. These functions allow us to find the angle measures given the values of trigonometric ratios. The section covers their definitions, domains, ranges, and graphs.
**3.10 Trigonometric Equations and Inequalities**: Trigonometric equations and inequalities involve solving equations and inequalities that contain trigonometric functions. This section delves into various techniques used to solve such equations and inequalities.
**3.11 The Secant, Cosecant, and Cotangent Functions**: After covering sine, cosine, and tangent functions, this section introduces the reciprocal trigonometric functions: secant, cosecant, and cotangent. It explores their definitions, properties, and graphs.
**3.12 Equivalent Representations of Trigonometric Functions**: Trigonometric functions can be represented in multiple forms using different trigonometric identities. This section discusses various equivalent representations of trigonometric functions and how they can be interconverted.
**3.13 Trigonometry and Polar Coordinates**: Trigonometry is closely related to polar coordinates. This section explores how trigonometric functions are applied in the context of polar coordinates, including conversion between Cartesian and polar coordinates.
**3.14 Polar Function Graphs**: In this section, polar function graphs are discussed. Polar functions describe relationships between angles and distances from a fixed point (the pole). The section covers graphing techniques and properties of polar functions.
**3.15 Rates of Change in Polar Functions**: Rates of change in polar functions refer to how the polar coordinates change concerning each other. This section explores derivatives and rates of change in the context of polar functions, including concepts like angular velocity and tangential velocity.
I have many informative videos for Pre-Algebra, Algebra 1, Algebra 2, Geometry, Pre-Calculus, and Calculus. Please check it out: [ Ссылка ]
Nick Perich
Norristown Area High School
Norristown Area School District
Norristown, Pa
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