AP Precalculus Test Prep - Finding Sine of a Terminal Ray on a Unit Circle (Multiple Choice) скачать в хорошем качестве

AP Precalculus Test Prep - Finding Sine of a Terminal Ray on a Unit Circle (Multiple Choice)

Please subscribe!    / @nickperich   If you don't know the length of the radius and it's denoted as \(r\), you can still find the sine of the angle using the given information. Here's how: 1. *Unit Circle:* Consider the unit circle centered at the origin (\(0,0\)). 2. *Terminal Ray:* Identify the terminal ray passing through a point on the unit circle. 3. *Coordinates:* Determine the coordinates \((x, y)\) of the point where the terminal ray intersects the unit circle. Since the radius is \(r\), the coordinates of the point are \((x, y) = (r \cos \theta, r \sin \theta)\). 4. *Sine Value:* The sine value of the angle corresponding to the terminal ray is equal to the \(y\)-coordinate of the point divided by the length of the radius (\(r\)): \(\sin \theta = \frac{y}{r}\). So, the sine of the angle is given by \(\sin \theta = \frac{r \sin \theta}{r}\), which simplifies to \(\sin \theta = \sin \theta\). This means that the sine value remains the same regardless of the length of the radius \(r\), as long as the terminal ray intersects the unit circle. These videos are examples taken from AP Precalculus Test study guides or official course description guides created by Collegeboard. The Topics covered in AP Precalculus are... 1.1 Change in Tandem 1.2 Rates of Change 1.3 Rates of Change in Linear and Quadratic Functions 1.4 Polynomial Functions and Rates of Change 1.5 Polynomial Functions and Complex Zeros 1.6 Polynomial Functions and End Behavior 1.7 Rational Functions and End Behavior 1.8 Rational Functions and Zeros 1.9 Rational Functions and Vertical Asymptotes 1.10 Rational Functions and Holes 1.11 Equivalent Representations of Polynomial and Rational Expressions 1.12 Transformations of Functions 1.13 Function Model Selection and Assumption Articulation 1.14 Function Model Construction and Application 2.1 Change in Arithmetic and Geometric Sequences 2.2 Change in Linear and Exponential Functions 2.3 Exponential Functions 2.4 Exponential Function Manipulation 2.5 Exponential Function Context and Data Modeling 2.6 Competing Function Model Validation 2.7 Composition of Functions 2.8 Inverse Functions 2.9 Logarithmic Expressions 2.10 Inverses of Exponential Functions 2.11 Logarithmic Functions 2.12 Logarithmic Function Manipulation 2.13 Exponential and Logarithmic Equations and Inequalities 2.14 Logarithmic Function Context and Data Modeling 2.15 Semi-log Plots 3.1 Periodic Phenomena 3.2 Sine, Cosine, and Tangent 3.3 Sine and Cosine Function Values 3.4 Sine and Cosine Function Graphs 3.5 Sinusoidal Functions 3.6 Sinusoidal Function Transformations 3.7 Sinusoidal Function Context and Data Modeling 3.8 The Tangent Function 3.9 Inverse Trigonometric Functions 3.10 Trigonometric Equations and Inequalities 3.11 The Secant, Cosecant, and Cotangent Functions 3.12 Equivalent Representations of Trigonometric Functions 3.13 Trigonometry and Polar Coordinates 3.14 Polar Function Graphs 3.15 Rates of Change in Polar Functions 4.1 Parametric Functions 4.2 Parametric Functions Modeling Planar Motion 4.3 Parametric Functions and Rates of Change 4.4 Parametrically Defined Circles and Lines 4.5 Implicitly Defined Functions 4.6 Conic Sections 4.7 Parametrization of Implicitly Defined Functions 4.8 Vectors 4.9 Vector-Valued Functions 4.10 Matrices 4.11 The Inverse and Determinant of a Matrix 4.12 Linear Transformations and Matrices 4.13 Matrices as Functions 4.14 Matrices Modeling Contexts I have many informative videos for Pre-Algebra, Algebra 1, Algebra 2, Geometry, Pre-Calculus, and Calculus. Please check it out:    / nickperich   Nick Perich Norristown Area High School Norristown Area School District Norristown, Pa . . . #math #maths #mathskills #mathsucks #mathstudent #mathsmemes #mathstudents #mathsteacher #mathsisfun #gcsemaths #quickmaths #mathstutor #mathsclass #mathstricks #mathsjokes #brunomathsson #mathstations #mathslover #mathsproblems #mathsfun #alevelmaths #earlymaths #mathsquiz #mathsmeme #mathsmock #mathsnotes #mathsbeauty #ilovemaths #lovemaths #addmaths #mathsforlife #mathsweek #mathsgames #mathsexam #eyfsmaths #mathsrevision #primarymaths #ihatemaths #mathslesson #mathstuition #math #shorts #funny #help #onlineclasses #onlinelearning #online #study