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