Download Final Exam Review #1.tst

Analysis
Final Exam Review #1
Name___________________________________
Convert the angle in degrees to radians. Express answer as a multiple of π.
1) 45°
2) -60°
2)
Convert the angle in radians to degrees.
π
3) 2
4)
1)
3)
11
π
12
4)
Draw the angle in standard position.
13π
5)
6
5)
6) -150°
6)
Find a positive angle less than 360° or 2π that is coterminal with the given angle.
7π
7)
3
8) 365°
7)
8)
Use the Pythagorean Theorem to find the length of the missing side.Then find the indicated trigonometric function
of the given angle. Give an exact answer with a rational denominator.
9) Find sin θ.
9)
7
3
10) Find csc θ.
10)
8
5
1
Use the given triangles to evaluate the expression. Rationalize all denominators.
11) cos 30°
12) tan 45°
13) tan
12)
π
π
- cos
6
6
13)
θ is an acute angle and sin θ and cos θ are given. Use identities to find the indicated value.
5
2 6
14) sin θ = , cos θ =
. Find tan θ.
7
7
15) sin θ =
11)
7
3
, cos θ = . Find sec θ.
4
4
14)
15)
Use an identity to find the value of the expression. Do not use a calculator.
16) sin2 50° + cos2 50°
16)
Find a cofunction with the same value as the given expression.
17) sin 69°
17)
18) cos
π
18
18)
Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.
19) tan 62°
19)
20) csc 28°
20)
Find the measure of the side of the right triangle whose length is designated by a lowercase letter. Round your
answer to the nearest whole number.
21)
21)
a
35°
=
b 14
Solve the problem.
22) A straight trail with a uniform inclination of 11° leads from a lodge at an elevation of
800 feet to a mountain lake at an elevation of 5700 feet. What is the length of the trail
(to the nearest foot)?
2
22)
Answer Key
Testname: FINAL EXAM REVIEW #1
1)
π
radians
4
π
radians
3
2) -
3) -90°
4) 165°
5)
6)
7)
π
3
8) 5°
7 58
9)
58
10)
89
5
11)
3
2
12) 1
13) -
3
6
14)
5 6
12
15)
4
3
16) 1
17) cos 21°
4π
18) sin
9
19)
20)
21)
22)
1.88
2.13
a = 10 cm
25,680 feet
3