Calculus AB
5-6
Inverse Trigonometric Functions
-1
f (x) = arcsin x or f (x) = sin x
f (x) = arccos x or f (x) = cos -1x
domain:
domain:
range :
range :
f (x) = arctan x or f (x) = tan -1x
domain:
Evaluate each expression without
using a calculator. (pg 379)
3
2
*) arcsin
range :
Evaluate the expression without using a calculator.
[
( ([
18a) tan arccos
1
2
[
18b) cos arcsin
( 13 ([
5
Write the expression in algebraic form.
28) sec(arctan 4x)
.
Assignment:
Pg. 379
5-33 odd
Calculus AB
5-6
Inverse Trigonometric Functions: Differentiation
Find the derivative of each.
45) g(x) = 3arccos 2x
(pg 379)
u'
1-u
2
u'
1-u
2
u'
1+u
2
u'
u u -1
2
u'
u u -1
2
3x
49) g(x) = arcsin
x
u'
1+u
2
Assignment:
Pg. 379
43 - 63 odd
97