# Solving Trigonometric Equation Pre Calculus 5 3 To

- Slides: 33

Solving Trigonometric Equation Pre. Calculus 5 -3

• To solve trigonometric equations, we must solve for all values of the variable that make the equation true. Trigonometric Equations

Trigonometric Equations sin x = x= π 6 is a trigonometric equation. is one of infinitely many solutions of y = sin x. y -19π 6 -11π 6 -3π -7π 6 1 -2π -π -1 5π 6 13π 6 π 2π 17π 6 3π 25π 6 x y= 4π All the solutions for x can be expressed in the form of a general solution. x= π 6+ 2 k π and x = 5π 6+ 2 k π (k = 0, ± 1, ± 2, ± 3, ).

Find the general solution for the equation sec = 2. From cos = 1 , it follows that cos = sec All values of for which cos = are solutions of the equation. π Two solutions are = ±. 3 π that are coterminal All angles 3 with ± are also solutions and can be expressed by adding integer multiples of 2π. The general solution can be written as cos( π3+ 2 kπ) = P y 1 x Q -π cos( 3+ 2 kπ) = = ± π3+ 2 kπ. 4

Trigonometric Equations

Solve the equation Trigonometric Equations

Trigonometric Equations

Solve the equation Trigonometric Equations

Trigonometric Equations

Trigonometric Equations

Solve the equation Trigonometric Equations

Solve the equation Trigonometric Equations

Solve the equation Trigonometric Equations

Trigonometric Equations

Solve the equation in the interval [0, 2π) Trigonometric Equations

Trigonometric Equations

Solve the equation Trigonometric Equations

Trigonometric Equations

Solve the equation in the interval (6π, 8π) Trigonometric Equations

Trigonometric Equations

Solve the equation in the interval (4π, 6π) Trigonometric Equations

Trigonometric Equations

Trigonometric Equations

Solve the equation Trigonometric Equations

Trigonometric Equations

Trigonometric Equations

Solve the equation in the interval (0, 2π) Trigonometric Equations

Trigonometric Equations

Find all solutions of the equation Trigonometric Equations

Trigonometric Equations

Trigonometric Equations

Solve the equation Trigonometric Equations

• Homework • page 364 - 365 3, 5, 11, 15 21, 25, 27, 29, 33, 35, 53, 55, 67 Trigonometric Equations

- Trigonometric Identities A trigonometric equation is an equation
- Lesson 5 3 Solving Trigonometric Equations Solving Trigonometric
- Trigonometric Functions Graphing the Trigonometric Function Graphing Trigonometric
- Calculus Differentiation Calculus Differentiation dydx y Calculus Differentiation
- Unit 10 Trigonometric Applications Review Problems Pre Calculus
- Graphs of Other Trigonometric Functions Pre Calculus 4
- 11 6 Solving 11 6 Solving Trigonometric Equations
- Solving a Linear Equation An equation is a
- Solving Equations A quadratic equation is an equation
- Chapter 5 Trigonometric Functions 5 4 Trigonometric Functions
- Digital Lesson Trigonometric Applications and Models Trigonometric Functions
- Unit 7 Trigonometric Functions Graphing the Trigonometric Function
- TRIGONOMETRIC RATIOS The Trigonometric Functions we will be
- Chapter 4 Trigonometric Functions 4 2 Trigonometric Functions
- Author Kyle Heffelbower Trigonometric Functions Definitions Trigonometric functions
- SEC 8 2 TRIGONOMETRIC INTEGRALS Example Find TRIGONOMETRIC
- A Trigonometric Ratios of an Angle Trigonometric Ratios
- Digital Lesson Trigonometric Applications and Models Trigonometric Functions
- Fundamental Trigonometric 11 3 Identities 11 3 Trigonometric
- Chapter 4 Trigonometric Functions 4 7 Inverse Trigonometric
- Lecture 5 Part 2 Trigonometric Functions Trigonometric Functions
- TRIGONOMETRIC SUBSTITUTION TRIGONOMETRIC SUBSTITUTION NOTE We convert the
- Trigonometric Ratios Contents w Introduction to Trigonometric Ratios
- SEC 8 2 TRIGONOMETRIC INTEGRALS Example Find TRIGONOMETRIC
- Basic Trigonometric Identities and Equations Trigonometric Identities Quotient
- Pre Trip Escalate Pre Trip Approver 0 Pre
- Chapter 3 Jeopardy Solving Tables Solving Equation Graphs
- SOLVING LOGARITHMIC AND INDICES PROBLEM Solving equation in
- Chapter 8 The Trigonometric Functions GoldsteinSchneiderLayAsmar Calculus and
- 2 8 Solving Inequalities Solving Inequalities Solving inequalities
- 1 6 Solving Inequalities Solving Inequalities Solving inequalities
- 1 6 Solving Inequalities Solving Inequalities Solving inequalities
- Problem Solving What is Problem Solving Problem Solving