Math Exam 1
Convert -3pi/4 to degree measures. Round to two decimals.
-135*
Find the function value, in RADIAN mode in calculator, for tan(pi)/7
0.4816
Find the function value, using coordinates on the unit circle, for sin(pi).
0dd
Find the acute angle@, to the nearest tenth of a degree, for tan@=0.2226
12.5*
Convert 35*50" to degree notation. Round to two decimal places.
35.01*
Which quadrant does 245*15' lie?
Quadrant III
Diameter: 15 cm Rate: 7 radians/sec Find the linear speed, in centimeters per minute.
V=3150 cm/min
Find the other five function values with [sin@=-1/3, quadrant III]. Give exact answers.
csc@=-3 cos@=-2sqr(2)/3 tan@=sqr(2)/4 sec@=-3sqr(2)/4 cot@=2sqr(2)
Convert 83.025* to DMS. Round to the nearest second.
83*1'30"
Find the function value of tan4*13'. Round to four decimal places.
0.0737
A lobster boat is situated due west of a lighthouse. A barge is 12 km south of the lobster boat. From the barge, the bearing to the lighthouse is N63*20'E. How far is the lobster boat from the lighthouse?
25 km
Find the reference angle and the exact function value of cos150*
30*; -sqr(3)/2
Find the exact acute angle@ for sin@=sqr(2)/2
45*
Find two positive and two negative angles that are coterminal with 115.3*
475.3*, -244.7*, 835.3*, -604.7*
Convert 75* to radian measures in pi terms.
5pi/12
Find two real numbers between -2pi and 2pi for 225*
5pi/4; -3pi/4
Find the positive and negative angles that are coterminal with pi/4
9pi/4; -7pi/4
In a circle with a 120-cm radius, an arc 132 cm long subtends an angle of how many radians? How many degrees, to the nearest degree?
@=1*
The longest zip line in the world is the ZipRider at Icy Straight Point, Alaska. Its length is 5495ft, and it has a vertical drop of 1320ft. Find its angle of depression.
@=13.9
r=23 in. v=22 mi/hr t=12 sec Find the angle (in radians)
@=202
Find @, with [sin@=-0.9956, (270*,360*)]
@=275.4*
A tire on a Ford Fiesta has an outside diameter of 27.66 in. Through what angle (in radians) does the tire turn while traveling 1 mi?
@=4.581
Find the complement and supplement of 3pi/8
Complement: pi/8 Supplement: 5pi/8
Find the other five trigonometric function values of sin@=24/25
csc@=25/24 cos@=7/25 sec@=25/7 tan@=24/7 cot@=7/24
For (-3/4, sqr(7)/4), find the coordinates of the reflection across (a) x-axis, (b) y-axis, (c) origin
(a) (-3/4, -sqr(7)/4) (b) (3/4, sqr(7)/4) (c) (3/4, -sqr(7)/4)
Find the function value of tan310.8. Round to four decimal points.
-1.1585
Solve the right triangle: A=35* b=40
c=49 B=55* a=28
Find the exact function value of cos45*
sqr(2)/2
