BC 1
(1)
(2)
(3)
(4)
More Inverse Trig
Name:
Sketch the following and state the domain and range.
ƒ(x) = 2sin–1x
g(x) = cos–1(2x)
h(x) = tan–1x
D:
D:
D:
R:
R:
R:
Find exact values.
sin–1(–1/2)
cos–1(– 3 / 2 )
tan–1(–1)
sin–1(1)
cos–1(–1)
tan–1( 3 )
Find exact values.
cos(sin–1(1/3))
tan(sin–1(–2/3))
sin(tan–1(–3))
Differentiate. Do not simplify.
y = sin!1 ( x 2 ) " y'=
y = tan !1 x
y = x 2 sin !1 (4x )
y = tan !1 (3x )
IMSA BC 1
More Inv Trig p.1
Fall 09
y=
(5)
(6)
sec!1 2x
3
x +1
Differentiate. Simplify completely.
y = sin!1 ( x / 3)
y = tan !1 ( x / 4)
y = cos!1 (1 / x) (assume x > 0)
y = x sin!1 x + 1! x 2
Find antiderivatives. (Guess and check!)
1
f (x ) =
4 ! x2
IMSA BC 1
More Inv Trig p.2
g( x) =
x
1 + x4
Fall 09