Chapter 6 Post Test

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Chapter 6 Post Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.

Determine the quadrant in which the angle lies.

–

a.	Quadrant II
b.	Quadrant I
c.	Quadrant II and Quadrant I
d.	Quadrant IV
e.	Quadrant III

Convert the angle measure to decimal degree form.(Round your answers to three decimal places.)

a.
b.
c.
d.
e.

Convert the following angle measure to

form.

a.
b.
c.
d.
e.

Rewrite the following angle in radian measure as a multiple of

a.
b.
c.
d.
e.

Rewrite the following angle in degree measure.

a.	280°
b.	250°
c.	270°
d.	260°
e.	290°

Find (if possible) the supplement of 118°.

a.	°
b.	°
c.	not possible
d.	°
e.	°

Find the area of the sector of the circle with radius 2 meters and central angle

a.
b.
c.
d.
e.

Using trigonometric identities, determine which of the following is equivalent to the following expression.

a.
b.
c.
d.
e.

Find the reference angle

, and sketch

and

in standard position.

a.	= 5°	d.	= 15°
b.	= 25°	e.	= 35°
c.	= – 15°

10.

An airplane, flying at an altitude of 8 miles, is on a flight path that passes directly over an
observer (see figure). If

is the angle of elevation from the observer to the plane, find the distance from the observer to the plane when

°.(Round your answers to two decimal place.)

a.	18 mi
b.	17 mi
c.	16 mi
d.	19 mi
e.	20 mi

11.

The terminal side of q lies on the line

in the second quadrant. Find the exact value of

a.
b.
c.
d.
e.

12.

Select the graph of the function. (Include two full periods.)

a.		d.
b.		e.
c.

13.

Write an equation for the function that is described by the given characteristics.

A sine curve with a period of

an amplitude of

, a right phase shift of

, and a vertical translation up

units.

a.
b.
c.
d.
e.

14.

When tuning a piano, a technician strikes a tuning fork for the A above middle C and sets
up a wave motion that can be approximated by

where

is the time (in seconds).

The frequency is given by

. What is the frequency of the note?

a.	cycles/sec
b.	cycles/sec
c.	cycles/sec
d.	cycles/sec
e.	cycles/sec

15.

Consider the function given by

Use a graphing utility to select the graph of the function.

a.		d.
b.		e.
c.

16.

Use an inverse trigonometric function to write

as a function of

a.
b.
c.
d.
e.

17.

Write an algebraic expression that is equivalent to

a.
b.
c.
d.
e.

18.

For the simple harmonic motion described by the trigonometric function, find the least positive value of

for which

a.
b.
c.
d.
e.

19.

Find the length of the sides of a regular hexagon inscribed in a circle of radius

inches.

a.	in.
b.	in.
c.	in.
d.	in.
e.	in.

20.

Find the distance

across the flat sides of a hexagonal nut (see figure).

cm
Round your answer to two decimal places.

a.	cm
b.	cm
c.	cm
d.	cm
e.	cm