Chapter 10 - NCPN

Find the length of the intercepted arc in each circle. Round your
answer to the nearest tenth if necessary. see margin
19. 20.
Use a calculator to evaluate each trigonometric function. Round
to the nearest thousandth when necessary.
21. cos 2 ≠
–0.5 22. sin 85° 0.996
3
23. cos 90° 0 24. tan 3 ≠
–1
4
25. sin 225° –0.707 26. tan 135° –1
Use a calculator to evaluate each function for the given
argument. Round to the nearest thousandth when necessary.
27. y = 3cos 2θ, θ = 20º 2.298
28. g(θ) = 4 – sin 1.5θ, θ = 5 ≠
3.076
12
29. The height above the ground of a person riding on a Ferris Wheel
can be modeled by the function f(x) = 30 – 28cos ≠x . In the
24
function, x is the number of seconds since the ride began, and
f(x) is the height in feet.
a. What is the height of the passenger when the ride begins
(at x = 0 seconds) 2 ft
b. The passenger reaches the top of the Ferris Wheel after
24 seconds. What is the height at the top of the ride 58 ft
c. What is the passenger’s height above the ground after
10 seconds Round to the nearest tenth if necessary. 22.8 ft
d. How long does it take for the passenger to complete one
full rotation around the Ferris Wheel Check your answer by
evaluating the trigonometric function. 48 s
10.2 Evaluating Trigonometric Functions 447