1. 8.7 Inverse Trig Functions

2. Inverse Trig Functions
y = sin-1x
or y = arcsin x
is equivalent to x = sin y
where
Function
Equiv. Eqtn.
Range
banana
y = sin-1x
x = sin y
(or y = arcsin x)
rainbow
y = cos-1x
x = cos y
(or y = arccos x)
banana
y = tan-1x
x = tan y
(or y = arctan x)

3. Inverse Trig Functions
Equiv. Eqtn.
Range
banana
y = csc-1x
x = csc y
(or y = arccsc x)
rainbow
y = sec-1x
x = sec y
(or y = arcsec x)
rainbow
y = cot-1x
x = cot y
(or y = arccot x)

4. How to Remember Banana or Rainbow
sin B e
csc B
cos R
ight
sec R
CUZ
tan B
ack
cot R
It’s cold!!

5. Ex 1) Find the exact value of
&
Reference  is but it’s (–)
So in QIV, 

6. Ex 2) Evaluate 
&
Reference  is but it’s (–)
So in QII, 

7. Ex 3) Evaluate 
&
Impossible since
Not Defined

8. Homework
#817 Pg – 13 odd