Inverse Trig Functions

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# Inverse Trig Functions - PowerPoint PPT Presentation

Inverse Trig Functions. Section 4.7 . Inverse Sine, Cosine, Tangent Functions. and it’s inverse. y = sin x. y = arcsin x. EXAMPLES. OR. EXAMPLES. Q: How do we explain the inconsistency??. A: It’s a matter of Domain and Range. y = cos x. y = arccos x. EXAMPLES. OR. EXAMPLES.

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### Inverse Trig Functions

Section 4.7

y = sin x

y = arcsin x

EXAMPLES

Q: How do we explain the inconsistency??

A: It’s a matter of Domain and Range

y = cos x

y = arccos x

EXAMPLES

Q: How do we explain the inconsistency??

A: It’s a matter of Domain and Range

y = tan x

y = arctan x

EXAMPLES

Q: How do we explain the inconsistency??

A: It’s a matter of Domain and Range

Now some examples…Evaluate w/out Calc

Find the cosine of the angle whose sine is ½

Evaluate

Now some examples…Evaluate w/out Calc

Find the angle whose sine is the cosine of

Evaluate

Now some examples…Evaluate w/out Calc

Find the angle whose cos is the tangent of

Evaluate

State the DOMAIN and RANGE the composite function

Decide the domain of innermost function

Find RANGE of innermost function

This is the DOMAIN of the outer function

Determine the RANGE based on “new” DOMAIN

State the DOMAIN and RANGE the composite function

Decide the domain of innermost function