HAAT - Mr. Hayes
7.5 - Inverse Circular Functions
Retake Review
Name: ___________________________________
Date: ______________________
As always, please show work when appropriate. See Mr. Hayes and your book if you need help.
3.0 Questions
5.0 Questions
Find the exact value of the real number y.
3
1) y = sin-1 2
Evaluate the expression.
HINT: DRAW THE TRIANGLE!
9
12) csc (sin-1 )
15
2) y = csc-1 (2)
3) y = arcsin - 1
13) cos (2 arcsin )
4
3
2
14) arccos cos 7π
6
4) y = arcsec (1)
15) sin (arctan 2)
5) y = arctan 1
16) csc(csc-1 -2)
Use a calculator to give the value in degrees.
6) θ = sin-1 (-.4848)
3
17) sin(sin-1 + tan-1 -2)
5
7) θ = cos-1 (.8910)
8) θ = tan -1 (2.2460)
Use a calculator to give the real number value.
9) y = sin-1 (.6561)
10) y = tan -1 (.5774)
11) y = arcsec (2.8842912)
1
Answer Key
Testname: 7.5
1)
π
3
2)
π
6
3) - π
3
4) 0
π
5)
4
6) -29°
7) 27°
8) 66°
9) .715639280
10) .52363607
11) 1.2167397
15
12)
9
13)
7
8
14)
5π
6
15)
2 5
5
16) -2
17) - 5
5
2