Unit 1 Review

Mixture

100

Find the angle of smallest possible positive measure coterminal with -230°.

130°

200

A water tower casts a shadow of 36 ft at the same time that a 12-in. ruler casts a shadow of 3 in. How tall is the water tower?

144 ft

300

90° 29' + 18° 52'

111° 21'

400

(csc90°)(sin180°)+sec²180°

1

500

tan(180)° + cos(180)° - 4sin(270)°

3

Trig Functions Only

100

When given x and y values, what formula do you have to use to find r?

Pythagorean Theorem

OR
x² + y² = r²

200

Given the point (0,1), what is the value of tanΘ?

Undefined

300

Find sinΘ and cosΘ, given the following:

tanΘ = 3/5     secΘ < 0

All Seniors Take Calculus!

sinΘ = -3(square root 34) / 34

cosΘ = -5(square root 34) / 34

400

csc²(90)° +(sin270°)(tan180°)

1

500

Find csc, sec, cot of the angle when given (4, -2)

csc Θ = - square root 5

sec Θ = square root 5 / 2

cot Θ = -2

All Things Functions

100

When writing interval notation, why do we use parentheses when writing -∞ and ∞? What does -∞ and ∞ represent?

It can't equal ∞ because it is a direction, so we use parentheses.

200

Find the domain and range of

y = x² + 5

D: (-∞,∞)

R: [5,∞)

300

Evaluate f(x) = square root of (2x² - 5) at f(-3)

square root of 13

400

What is the domain and range of the function

 f(x) = square root of (x)?

D: [0,∞)

R: [0,∞)

500

Find the domain of the function:

                    1

________________________

square root of (x-4)

(4,∞)

Calculations

100

Find the midpoint of the line segment connecting the points (-3,9) and (7,4).

(2, 6.5)

200

Find the measure of two supplementary angles with measures (2z - 3)° and (4z)°.

58° and 122°

300

Convert 62.04° to degrees, minutes, and seconds

62° 2' 24''

400

A radio antenna casts a shadow of 90 ft at the same time that a yard-long stick casts a shadow of 27 in. How tall is the radio antenna?

120 ft

500

Use the distance formula to determine if the points (-4,6), (5,-2), and (4,7) are the vertices of a right triangle.

Not a right triangle

Vocabulary

100

What is the terminal side of an angle?

The side that is rotated away from the initial side.

200

What is a vertical angle?

Opposite angles made by two intersecting lines

300

What is the equation for two complementary angles? Use variables to represent the two angles.

x° + y° = 90°

400

What is a quadrantal angle? List two quadrantal angles.

A quadrantal angle is an angle in standard position whose terminal side lies on an axis.

0°,90°,180°,270°,360°

500

How many radians are in one full rotation?

2pi