Download Fall 2012 EXAM 3: Trigonometry Problems and more Exams Trigonometry in PDF only on Docsity!
- A pendulum in a grandfather clock is 40 inches long and swings back and forth along a 7-inch arc. Find the angle through which the pendulum passes as it traverses one swing from left to right. Approximate the angle to the nearest hundredth of a degree.
- None of the above
2. Determine the exact value of tan .
1)tan 20 569 569
2)tan 13 569 569
3)tan 569 20
4)tan 569 13
5)tan 13 20
6)tan 20 13
7)tan 231 20
8)tan 231 13
- None of the above
- If the angle
is in standard position, which of the following is a pair of angles that are both coterminal to
?^17
10
^
1)486 , ^310
2)486 ,^ ^2710 3)306 ,^ ^710 4)306 ,^ ^2710
- 54 , ^310 6)^ 54 ,^ ^710 7)126 ,^ ^3710 8)126 ,^ ^310
- None of the above
- A 120-milligram tablet of an asthma drug is taken orally. The total amount A in the bloodstream after t minutes is given by
A ( t ) 120[1 (0.9) t^ ]. Find the number of minutes needed for 90 milligrams to
have entered the bloodstream.
ln(0.25)
ln(0.25)
ln(0.25) ln(0.9)
ln(0.9) ln(0.25)
ln(0.75)
ln(0.75)
ln(0.75) ln(0.9)
ln(0.9) ln(0.75)
- None of the above
- Solve the equation.
ln(2 x ) ln x ln( 5 2 ) x
- x 1,
- x 1
- x 5
- x 5,
- x 1
x 5
- x 1,
- No solution
- None of the above
- Approximate all the values of x in the interval [0,2) that satisfy the equation. Round your answers to the nearest 0.001 radian. cot x 2. 1)
x 1.218, 1.
x 1.923, 4.
x 1.218, 4.
x 1.218, 5.
- x 0.352, 2.
- x 2.789, 3.
- x 0.352, 3.
- x 0.352, 5.
- None of the above
- Which of the following are true of the function f x ( ) tan( ) x 3?
I. f has a y -intercept at
II. The period of the function is
. III. The range of f is
[4,2].
1)I
2)II
3)III
I and II
I and III
II and III
I, II, and III
- Cannot be determined
- None of the above
- Simplify the following.
sec^2 sec 1
2)sec
3)sec 1
4)cos 1
5) 1 cos
6)^1
cos 1
7)^1
cos 1
- cos 1 cos
9)^1 cos cos
- Find the exact radian measure of 500. 1)
50
- None of the above
- Find the exact value of sin 13 4
(^) ^ (^) .
None of the above
- A robotic arm has its pivot point at the origin of a coordinate plane. It is initially 10 inches long and oriented horizontally so the hand is at the point (10,0). The robotic arm is lengthened and rotated. How many degrees should the arm be rotated by in order to move the hand to (17, 15)? Approximate the angle of rotation to the nearest tenth of a degree.
- Approximate the number to 1 decimal place.
log 3 40 1)
- None of the above
- Given the angle
is in standard position. If the terminal side of is in quadrant II and sin =
, then
the exact value of the sec =
2)^3
4)^8
8)^8
- None of the above
Answer Key
