5.3 Solving Trigonometric Equations

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Presentation transcript:

5.3 Solving Trigonometric Equations Page 368

What are two values of x between 0 and When Cos x = ½ x = arccos ½

How do you find What is the period of the Cosine function?

How to you find What is the period of the Cosine function? minus

Why does this work? Look at the Cosine function, there are many times it equals ½ We limited it to 0 to

If we wanted all the answers to cos x = ½ The answers would be Where n is an integer

Solve for x

Solve for x

Solve for x for

Set each factor equal to 0 Solve ( remember the period for tan is )

Set each factor equal to 0 Solve ( remember the period for tan is )

When solving a trig equation, you must have only one function Solve for x where the domain is

When solving a trig equation, you must have only one function Solve for x where the domain is

When solving a trig equation, you must have only one function Solve for x where the domain is

When solving a trig equation, you must have only one function Solve for x where the domain is

When solving a trig equation, you must have only one function Solve for x where the domain is

When solving a trig equation, you must have only one function Solve for x where the domain is

Solve for x Let 2x = u

Solve for x Let 2x = u

Solve for x Let 2x = u

Solve for y: Domain Let sin y = u

Solve for y Range Let sin y = u

Solve for y Let sin y = u

Solve for y: domain We have to give all the answers

Solve for y: domain We have to give all the answers

Homework See schedule