Infinite Precalculus - Unit 2 Review Inverse and ...
[Pages:4]Honors Precalculus
Name___________________________________ ID: 1
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Unit 2 Review Inverse and Compositions of Trig Functions Date________________
Graph and list Domain and Range.
1) y = arcsin x
2) y = arccos x
3) y = arctan x
Find the exact value of each expression.
4) cos-1 2 2
5) tan-1 -1
6) sin-1 1
8) sec-1 (- 2)
7) csc-1 2
9) csc-1 - 2 3 3
10) cos-1 - 3 2
11) sin-1 1 2
( ) 12)
cos-1
p tan
4
13) tan-1 (cos p)
14) tan tan-1 4 3
( ) 15)
sin-1
p tan
4
( ) 16)
cos-1
p cos
3
17) cos-1 (sec p)
Worksheet by Kuta Software LLC
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( ) 18)
cos-1
p sin -
3
20) cot tan-1 3
22) cot tan-1 7 3
( ) 19)
sin-1
p cot
4
( ) 21)
cos-1
p csc
2
23) sin tan-1 (2 2)
24) cot sec-1 7 6
25) sin cos-1 21 7
11
26) sin(arctan -
)
3
7 27) sin(arcsec )
2
Write each trigonometric expression as an algebraic expression.
28) sin csc-1 x
29) sec tan-1 x
30) cos tan-1 x
31) cot sin-1 x
32) cot cos-1 x
33) cos sin-1 x
x - h
34) tan(arccos
)
r
x 35) sec(arctan )
2
Worksheet by Kuta Software LLC
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Honors Precalculus
Name___________________________________ ID: 1
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Unit 2 Review Inverse and Compositions of Trig Functions Date________________
Graph and list Domain and Range.
1) y = arcsin x
2) y = arccos x
3) y = arctan x
Find the exact value of each expression.
4) cos-1 2 2
p 4
6) sin-1 1 p 2
8) sec-1 (- 2)
3p 4
10) cos-1 - 3 2
5p
6
( ) 12)
cos-1
p tan
4
0
5) tan-1 -1 p
4
7) csc-1 2 p 6
9) csc-1 - 2 3 3
p -
3
11) sin-1 1 2
p 6
13) tan-1 (cos p)
p -
4
14) tan tan-1 4 3
( ) 15)
sin-1
p tan
4
4
p
3
2
( ) 16)
cos-1
p cos
3
p
17) cos-1 (sec p)
p
3
Worksheet by Kuta Software LLC
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( ) 18)
cos-1
p sin -
3
5p 6
20) cot tan-1 3 3 3
( ) 19)
sin-1
p cot
4
p 2
( ) 21)
cos-1
p csc
2
0
22) cot tan-1 7 3
37 7
23) sin tan-1 (2 2)
22 3
24) cot sec-1 7 6
6 13 13
25) sin cos-1 21 7
27 7
11
26) sin(arctan -
)
3
55 -
10
7 27) sin(arcsec )
2
35 7
Write each trigonometric expression as an algebraic expression.
28) sin csc-1 x
29) sec tan-1 x
1
1 + x2
x
30) cos tan-1 x
x2 + 1 x2 + 1
31) cot sin-1 x 1 - x2 x
32) cot cos-1 x
x 1 - x2 1 - x2
33) cos sin-1 x 1 - x2
x - h
34) tan(arccos
)
r
x 35) sec(arctan )
2
r2 - (x - h)2
x2 + 4
x - h
2
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Worksheet by Kuta Software LLC
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