Analytic Trigonometry – Your Complete Guide – Radhe Global
From simplifying to verifying to solving to the Law of Sines and Cosines you will learn all step by step
Instructor Names: Brian McLogan
link: https://www.udemy.com/course/analytictrigonometry/
Objective
Simplify, Verify, and Solve Trigonometric Equations Evaluate and solve equations using the double angle formulas Evaluate the verify identities using the half angle formulas
Curriculum
Intro – To Analytic Geometry, Intro – To Analytic Geometry, The Basics for Simplifying Trigonometric Expressions, What are the reciprocal identities?, What are the co-function identities?, What are the quotient identities?, What are the Pythagorean identities?, What are the even odd identities?, What is the division property for trigonometric expressions, How to add and subtract fractions with unlike denominators, Simplifying Trigonometric Expressions, How do you simplify a trigonometric expression?, Examples for simplifying trigonometric expression using trigonometric identities, Quiz – Simplifying Trigonometric Expression(Basic), Quiz – Simplifying Trigonometric Expression(Pythagorean Identities), Examples for simplifying trigonometric expression by factoring, Quiz – Simplifying Trigonometric Expression(Factoring), Verifying Trigonometric Identities, Verifying Trigonometric Identities Examples 1-24, Examples for verifying trigonometric identities ex 1, Quiz – Verifying Trigonometric Identities(Basic), Examples for verifying trigonometric identities using multiple steps, Quiz – Verifying Trigonometric Identities(Multiple Steps), Examples for verifying trigonometric identities using co-function and even odd, Quiz – Verifying Trigonometric Identities(Co-function), Examples for verifying trigonometric identities with rational expressions, Quiz – Verifying Trigonometric Expression(Rational), Essential Questions for Verifying Trigonometry Identities, Solving Trigonometric Equations, Examples for solving trigonometric equations using inverse operations ex 2, Examples for solving trigonometric equations using inverse operations ex 2, Quiz – Solving Trigonometric Equations(Inverse Operations), Examples for solving trigonometric equations using Pythagorean Identities, Quiz – Solving Trigonometric Equations(Pythagorean Identities), Examples for solving trigonometric equations using factoring, Quiz – Solving Trigonometric Equations(Factoring), Examples for solving trigonometric equation with two different functions, Quiz – Solving Trigonometric Functions(Different Functions), Examples for solving trigonometric equations with multi angles ex 1, Examples for solving trigonometric equation with multi angles ex 2, Quiz – Solving Trigonometric Expressions(Multiple Angles), Double Angle Formulas, Examples for evaluating the double angle formulas using a triangle, Examples for evaluating the double angle formulas for sine cosine and tangent 1, Examples for evaluating the double angle formulas for sine cosine and tangent 2, Examples for writing an expression as one single function using double angles, Examples for verifying trigonometric identities using double angle formula, Examples for solving trigonometric equations using double angle formulas, Quiz – Double Angle Formulas, Half Angle Formulas, Examples for evaluating the half angle formulas from a right triangle, Examples for evaluating half angle formulas with constraints ex 3, Evaluating the half angle formulas given and equation and constraint ex 2, Examples for evaluating the half angle formulas given an equation and contraint, Examples for evaluating the half angle formulas given an angle, Examples for verifying trigonometric identities using half angle formulas, Quiz – Half Angle Formulas, Sum and Difference Formulas, Examples for evaluating the sum and different formulas for sine and cosine, Examples for evaluating the sum and difference formulas for tangent, Examples for writing the angle from Sum and Difference Formula, Examples for verifying trigonometric identities using sum and difference formula, Examples for solving trigonometric equations using sum and difference formulas, Quiz for Sum and Difference Formulas, Oblique Triangles, Examples for solving the missing parts of a triangle using Law of Sines AAS ASA, Examples for determining the ambiguous case SSA (1, 2 or no triangle), Examples for solving the ambiguous case using Law of Sines SSA (2 cases), Quiz – Law of Sines, Examples for solving the missing parts of a triangle using Law of Cosines SAS, Examples for solving the missing parts of a triangle using Law of Cosines SSS, Quiz – Law of Cosines, Examples for finding the area of an oblique triangle(Herons Formula), Example for determining the area of an oblique triangle, Quiz – Finding the area of an oblique triangle, Vectors, Examples for writing the vector given the initial and terminal points, Sketching a vector, Examples for adding, subtracting and multiplying vectors, Examples for determining the magnitude of a vector, Examples for determining the unit vector, Examples for determining the dot product of two vectors, Master Writing the vector in the same direction given the magnitude, Examples for determining the angle of a vector, Examples for writing the vector given the direction and magnitude, Examples of operations of vectors including dot product, Examples of Operations of vectors including dot product and magnitude, Examples for determining the angle between two vectors, Examples for determining if two vectors are orthogonal, parallel or neither
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