Precalc Quiz Review 4.1-4.4

Degrees, Radians

100

Convert 3pi/7 to degrees. Round to the nearest hundredth of a degree.

77.1 degrees.

200

Convert 24 degrees into radians. Reduce your answer to the simplest fraction.

2pi/15

300

These angles (in radians) have a cosine of

-sqrt2/2

What is

(3pi)/4

 and 

(5pi)/4

400

These angles (in radians) have a sine of -sqrt(3) / 2.

What are 4pi / 3 and 5pi / 3.

500

These angles (in degrees) have a cosine of 1/2.

What is 60 and 300

Trig Functions of Acute Angles

100

tan(11pi / 6)

What is -sqrt(3) / 3

200

sec(45 degrees)

What is sqrt(2)

300

sin(-135 degrees)

What is -sqrt(2)/2

400

cot(315 degrees)

What is -1

500

sec(-240 degrees)

What is -2

Trig Functions (not on the unit circle!)

100

If x is an angle in standard position whose terminal side passes through the point (-3,2), what is the numerical value of csc(x) ?

sqrt13/2

200

If x is an angle in standard position whose terminal side passes through the point (-2,-3), what is the numerical value of tan(x) ?

3/2

300

Find the six trig functions of angle A, whose terminal side contains the point (-8,15).

sinA = 15/17; cosA = -8/17; tanA = -15/8 cscA = 17/15; secA = -17/8; cotA = -8/15

400

Find the 6 trig functions of 330 degrees.

sin(330) = -1/2; cos(330) = sqrt3/2; tan(330) = -1/sqrt3 csc(330) = -2; sec(330) = 2/sqrt3; tan(330) = -sqrt3

500

Find secA and cscA if cotA = -4/3 and cosA < 0

secA = -5/4; cscA = 5/3

Vocabulary

100

Two angles are ___________ if they have the same initial side and terminal side, but have different measures.

Coterminal

200

Find one positive and one negative angle that are coterminal with -142 degrees.

+218 degrees; -502 degrees (other coterminal angles acceptable, also)

300

Two angles are ___________ if they have a sum of pi

Two angles are ___________ if they have a sum of 2pi

Complementary, supplementary

400

Find the reference angle of 4pi/3

pi/3

500

The positive angle formed between the terminal side of a given angle and the x-axis

reference angle

Random

100

A guy wire from the top of a transmission tower forms a 75 degree angle with the ground at a 55 ft distance from the base of the tower. How tall is the tower?

205.26 ft.

200

Kirsten places her surveyor's telescope on the top of a tripod of 6 feet above the ground. She measures a 9 degree elevation above the horizontal to the top of a tree that is 125 feet away. How tall is the tree?

approximately 25.8 feet.

300

Use the appropriate arc length formula to find the arc length if the radius is 5ft and the central angle measures 18 degrees.

pi/2 ft

400

Find acute angle A in degrees AND radians, such that cotA = 1.

45 degrees; pi/4 radians

500

Find cosA and tanA if sinA = 5/13.

cosA = 12/13; tanA = 5/12.