8.2 inverse trigonometric functions · it is convenient to think of a value of an inverse...

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GOAL: define inverse trigonometric functions BELL WORK: is this the same? The inverse function of an exponential f(x) is … Answer ahead It is convenient to think of a value of an inverse trigonometric function of a as an angle Remember Paula and the table for ICFES know the trig. f(x) of exact or special angles (read the table backwards, knowing the trig f(x) find the angle) Try graphing with your calculator sin -1 x Remember: angles in radians Only between domain [ 'restricted sine f(x)' The book says now a horizontal line test NEW LEARNING: the inverse sine (or arcsine ) function 8.2 Inverse Trigonometric Functions Monday, April 06, 2015 2:12 PM Precalculus Page 1

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Page 1: 8.2 Inverse Trigonometric Functions · It is convenient to think of a value of an inverse trigonometric function of a as an angle Remember Paula and the table for ICFES know the trig

GOAL: define inverse trigonometric functions

BELL WORK: is this the same?

The inverse function of an exponential f(x) is … Answer ahead

It is convenient to think of a value of an inverse trigonometric function of aas an angle

Remember Paula and the table for ICFES know the trig. f(x) of exact or special angles(read the table backwards, knowing the trig f(x) find the angle)

Try graphing with your calculator sin-1 x Remember: angles in radians

Only between domain [

'restricted sine f(x)'

The book says now a horizontal line test

NEW LEARNING: the inverse sine (or arcsine ) function

8.2 Inverse Trigonometric FunctionsMonday, April 06, 20152:12 PM

Precalculus Page 1

Page 2: 8.2 Inverse Trigonometric Functions · It is convenient to think of a value of an inverse trigonometric function of a as an angle Remember Paula and the table for ICFES know the trig

PRACTICE:

Precalculus Page 2

Page 3: 8.2 Inverse Trigonometric Functions · It is convenient to think of a value of an inverse trigonometric function of a as an angle Remember Paula and the table for ICFES know the trig

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Precalculus Page 3

Page 4: 8.2 Inverse Trigonometric Functions · It is convenient to think of a value of an inverse trigonometric function of a as an angle Remember Paula and the table for ICFES know the trig

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Precalculus Page 4

Page 5: 8.2 Inverse Trigonometric Functions · It is convenient to think of a value of an inverse trigonometric function of a as an angle Remember Paula and the table for ICFES know the trig

Precalculus Page 5

Page 6: 8.2 Inverse Trigonometric Functions · It is convenient to think of a value of an inverse trigonometric function of a as an angle Remember Paula and the table for ICFES know the trig

Unit circle (x , y) coordinates x = cost , y = sint( cos t, sin t)

Precalculus Page 6

Page 7: 8.2 Inverse Trigonometric Functions · It is convenient to think of a value of an inverse trigonometric function of a as an angle Remember Paula and the table for ICFES know the trig

( cos t, sin t)

HOMEWOK:

Page 536 #1 - 18

Using

Precalculus Page 7

Page 8: 8.2 Inverse Trigonometric Functions · It is convenient to think of a value of an inverse trigonometric function of a as an angle Remember Paula and the table for ICFES know the trig

REVISIT GOAL!

Precalculus Page 8