Chapter 10 - NCPN

Chapter Test
Solve each problem.
1. Solve for x. Round to the nearest tenth.
53.6 m
2. Convert 70° to radians. 7 ≠
18
3. Convert 3 ≠ radians to degrees. 54°
10
Graph each function over the specified
domain. see margin
4. y = 3sin θ, 0 ≤ θ ≤ 2π
5. y = –1.5cos 2θ, –2π ≤ θ ≤ 2π
Use the Law of Sines or the Law of
Cosines to find each measure. Round to
the nearest tenth.
14. Find b if m∠B = 52º, m∠C = 31º,
and c = 12. 18.4
15. Find m∠A if a = 13.5, b = 9.4,
and c = 16.3. 55.9º
Solve each equation in the given interval.
16. sin 2 θ – 2sin θ – 3 = 0, 0 ≤ θ < 360°
270°
17. 2sin θ + 1 = csc θ, 0 ≤ θ < 2π ≠ ,
5 ≠ ,
3 ≠
18. Find the area of triangle ABC below.
Round to the nearest whole number.
38 cm 2
6
6
2
Find each function value. Round to the
nearest tenth.
6. g(θ) = 10 – 4sin θ, θ = 35º 7.7
7. y = –2.5tan x 2 , x = 2 ≠ –4.3
3
Solve for x. Round to the nearest tenth
degree or thousandth radian.
8. sin x = 0.96, –90º ≤ x ≤ 90º 73.7º
9. cos x = 0.809, 0 ≤ x ≤ π 0.628 radians
Find the measure, in degrees, of each
angle x. Round to the nearest tenth if
necessary.
10. tan x = –1.1, –90º < x < 90º–47.7º
11. sin x = –0.965, –90º ≤ x ≤ 90º–74.8º
Use an angle identity to rewrite
each expression.
12. cos 35° cos 75° – sin 35° sin 75° cos 110°
13. sin 80° cos 40° – cos 80° sin 40° sin 40°
19. An airliner is cruising at an elevation
of 6 miles. To make a smooth descent
for the passengers, the pilot begins his
descent at a distance of 70 miles from
the airport. What is the plane’s angle of
descent (the angle formed by the runway
and the flight path) Round to the
nearest tenth. 4.9°
20. The voltage, V, in the power cord of a
computer t seconds after it was turned
on can be modeled using the function
V(t) = 120cos (120πt). After how many
seconds is the voltage equal to its
maximum Express the answer so that
it represents all solutions in the interval
t > 0. n , where n is a whole number
60
504 Chapter 10 Trigonometric Functions and Identities