ID: 1
Precalculus
Name___________________________________
Unit 1.1 Practice/Review
Date________________ Period____
©n 52Q0G110U eKfuhtxaE fSFosflt3wraarPeC DLTLCC6.E L 9A3lql2 HrGiegRh7tKsA arieesGeArYvyeldV.8
State the quadrant in which the terminal side of each angle lies.
1) −80°
2) 580°
Find the reference angle.
3) 175°
5)
23π
18
4) −605°
6)
5π
6
State the quadrant in which the terminal side of each angle lies.
7)
7π
4
8) −
8π
3
Find a positive and a negative coterminal angle for each given angle.
9) −270°
11)
11π
12
10) −225°
12)
23π
12
Find a coterminal angle between 0 and 2π for each given angle.
13)
21π
4
14) −
28π
9
Convert each degree measure into radians and each radian measure into degrees.
15)
13π
12
©q 5230S1b0i LK7uitPaO dS7oJfztEwPa5rGeb tLtLyCV.S e 7A3lmlz VrfidgWhztJsr arHeysyegrtvCe6da.L L oMfaqdReO qw0iTthhy IIsnofGisnxiMtDe8 xAYlRg1eDbPrEad 420.u
16)
-1-
4π
3
Worksheet by Kuta Software LLC
17) −π
Solve each triangle. Round answers to the nearest tenth.
18)
19)
C
C
4
B
64°
53°
A
12.7
A
B
In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest tenth.
20) m∠B = 73°, a = 9.5
21) a = 10, b = 6
Find the value of the trig function indicated.
22) Find cos θ if csc θ =
5
3
In each triangle ABC, angle C is a right angle. Find the value of the trig function indicated.
23) Find sec A if a = 10, b = 2 11
Find the value of the trig function indicated.
24) cos θ
10
θ
12
Find the value of each. Round your answers to the nearest ten-thousandth.
25) cot 45°
©U R2w0t1D0S QKMuftiaX qSTo2fltdwJamrvev BLcLqCi.d g ZACl2lH KrSizgohBtLsh grqeysaeSrxvsemdY.P f hMCaFdKef wwpi6t8hm kIinBfbianlintte9 zAslDg5e8bjrDaX V2x.H
-2-
Worksheet by Kuta Software LLC
ID: 1
Precalculus
Name___________________________________
Unit 1.1 Practice/Review
Date________________ Period____
©B 12U011t0L DK5uMtYaE 6S5oYfFtewOalr6eM pLDLoCs.9 P XAUlvlr tr5iXgIhjt4sX yrzeSsieArqvseXdl.O
State the quadrant in which the terminal side of each angle lies.
1) −80°
2) 580°
IV
III
Find the reference angle.
3) 175°
4) −605°
5°
5)
23π
18
5π
18
65°
6)
5π
6
π
6
State the quadrant in which the terminal side of each angle lies.
7)
7π
4
8) −
IV
8π
3
III
Find a positive and a negative coterminal angle for each given angle.
9) −270°
10) −225°
90° and −630°
11)
11π
12
35π
13π
and −
12
12
135° and −585°
12)
23π
12
47π
π
and −
12
12
Find a coterminal angle between 0 and 2π for each given angle.
13)
21π
4
5π
4
28π
9
8π
9
14) −
Convert each degree measure into radians and each radian measure into degrees.
15)
13π
12
16)
195°
©f 42Y041c0q ZKFuPtMav 5SYoGfttKwXaUrleR 8LdLqCr.g o fAwlUlV jrbiOgGhzt5sD xrweOskeYrTvjeqdK.G Q kMyavdyeG mwfiztQhQ BIinhfoiSnoiItGeU PAdlXgie9bxr2aZ 72W.s
4π
3
240°
-1-
Worksheet by Kuta Software LLC
17) −π
-180°
Solve each triangle. Round answers to the nearest tenth.
18)
19)
C
11.4
B
C
5.6
64°
26°
53°
A
12.7
4
3
A
37°
5
B
In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest tenth.
20) m∠B = 73°, a = 9.5
21) a = 10, b = 6
m∠A = 17°, b = 31.1, c = 32.5
m∠B = 31°, m∠A = 59°, c = 11.7
Find the value of the trig function indicated.
22) Find cos θ if csc θ =
5
3
4
5
In each triangle ABC, angle C is a right angle. Find the value of the trig function indicated.
23) Find sec A if a = 10, b = 2 11
6 11
11
Find the value of the trig function indicated.
24) cos θ
10
θ
12
5
6
Find the value of each. Round your answers to the nearest ten-thousandth.
25) cot 45°
1.0000
©F X21001S02 cKQuctHaz 9SIoNfWt7wlaMr0eB FLILcCd.4 l RAXlRlB rrNiSgwh0t0sY SrWeVsKeVr6v1ebdK.2 h kMWaTdheU DwhiytVhN iIUnPfWi3nJiPtxeN AAel4gweabwrCaF x2F.Q
-2-
Worksheet by Kuta Software LLC