The Inverse Sine, Cosine and Tangent Function

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Presentation transcript:

The Inverse Sine, Cosine and Tangent Function Chapter 3 Section 1

Inverse Review From Section 1.7 If a function is one-to-one it will have an inverse If a function is not one-to-one, restrict the domain

Inverse Sine Function Not one-to-one

Inverse Sine Function Restrict Domain

Inverse Sine Function  

Inverse Sine Function  

Reminder

Inverse Sine  

Finding Exact Value of Inverse Sine  

Finding Exact Value of Inverse Sine  

Finding Exact Value of Inverse Sine  

Finding Exact Value of Inverse Sine       Sine is the y value

Finding Exact Value of Inverse Sine  

Finding Exact Value of Inverse Sine   Restrict domain to make one-to-one

Finding Exact Value of Inverse Sine     Restrict domain to make one-to-one

Finding Approximate Value of Inverse Sine  

Finding Approximate Value of Inverse Sine  

Finding Approximate Value of Inverse Sine  

Properties of Inverse Functions  

Properties of Inverse Functions  

Properties of Inverse Functions  

Properties of Inverse Functions  

Properties of Inverse Functions   Notice the difference?

Find Exact value  

Find Exact value  

Find Exact value  

Find Exact value  

Find Exact value    

Find exact value  

Find exact value    

Find exact value  

Find exact value   Not in domain

Inverse Cosine Not one-to-one

Inverse Cosine  

Inverse Cosine  

Inverse Cosine  

Find Exact Value Inverse Cosine

Restrict domain to make one-to-one  

Restrict domain to make one-to-one    

Same inverse properties

Find Exact Value

Is this in the domain?  

Is this in the domain?    

Find Exact Value  

Find Exact Value  

Find Exact Value    

Find Exact Value  

Find Exact Value    

Inverse Tangent

Inverse Tangent  

Find Exact Value  

Find Exact Value  

Find Exact Value    

Find Exact Value  

Find Exact Value  

Find Exact Value    

Find Exact Value    

Inverse Tangent Properties

Inverse Tangent Properties  

Inverse Tangent Properties  

Inverse Tangent Properties    

Inverse Tangent Properties  

Inverse Tangent Properties    

Find Trig Function’s Inverse  

Find Range  

Solving Equation with Inverses  

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