AnswersPrecalculusSolving Trigonometric Inequalities

Solving Trigonometric Inequalities — Unit test Answers

14 verified answers
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Graph the following fnction on the interval .a.c.b.d.

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Graph sinon the interval a.c.b.d.

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Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?a.sin (a -b) = sin a cos b – cos a sin bb.cos (a -b) = cos a cos b – sin a sin bc.cos (a -b) = cos a cosb + sin a sin bd.sin (a + b) = sin a cos b + cos a sin b

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Find the exact value of sin 105°. a. b. c. d. Please select the best answer from the choices provided

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Find the value of a.c.b.d.

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Assume that and . Find the exact value of if and . a.c.b.d.

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Find the exact value of .a.c.b.d.

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The average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year, m, can be modeled by the equation , where m = 0 represents January 1, m = 1 represents February 1, m = 2 represents March 1, and so on. Which equation also models this situation?

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t = negative 35 sine (StartFraction pi Over 6 EndFraction m) + 55
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t = negative 35 sine (StartFraction pi Over 6 EndFraction (m + 3)) + 55
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t = 35 sine (StartFraction pi Over 6 EndFraction m) + 55
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t = 35 sine (StartFraction pi Over 6 EndFraction (m + 3)) + 55
Option D
9

Find the value of

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Answer not available
10

The motion of a weight that hangs from a spring is represented by the equation . It models the weight’s height, h, in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 4 inches below the rest position? Round to the nearest hundredth, if necessary.

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0 seconds
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0.29 seconds
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0.39 seconds
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1.95 seconds
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The average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year, m, can be modeled by the equation graphed below, where m = 0 represents January 1, m = 1 represents February 1, m = 2 represents March 1, and so on. If the equation is , what are the values of a and k?

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a = –60; k = 20
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a = –50; k = 30
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a = –30; k = 50
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a = –20; k = 60
12

Write the equation for the inverse of the function. a. c. b. d. Please select the best answer from the choices provided

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The parent cosecant function is shifted 2 units down, and its period is changed to . Which of the following is the graph of the transformed function?

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On a coordinate plane, the x axis ranges from negative 6 pi to 6 pi with an interval of pi units and the y axis ranges from negative 6 to 2 with an interval of 2 units. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals negative 1 at (3 by 2 pi comma negative 1) and (negative 9 by 2 pi comma negative 1). Another line y equals negative 3 touches at (3 by 2 pi comma negative 3) and (negative 9 by 2 pi comma negative 3).
Option A
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On a coordinate plane, the x axis ranges from negative 6 pi to 6 pi with an interval of pi units and the y axis ranges from negative 4 to 4 with an interval of 2 units. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 1 at (3 by 2 pi comma1) and (negative 9 by 2 pi comma 1). Another line y equals negative 1 touches at (9 by 2 pi comma negative 1) and (negative 3 by 2 pi comma negative 1).
Option B
C
On a coordinate plane, the x axis ranges from negative 6 pi to 6 pi with an interval of pi units and the y axis ranges from negative 6 to 2 with an interval of 2 units. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 1 at (6 pi comma1), (0 comma 1) and (negative 6 pi comma 1). Another line y equals negative 3 touches at (3 pi comma negative 3) and (negative 3 pi comma negative 3).
Option C
D
On a coordinate plane, the x axis ranges from negative 6 pi to 6 pi with an interval of pi units and the y axis ranges from negative 4 to 4 with an interval of 2 units. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 1 at (6 pi comma1), (0 comma 1) and (negative 6 pi comma 1). Another line y equals negative 2 touches at (3 pi comma negative 1) and (negative 3 pi comma negative 1).
Option D
14

Which statement is true about the graph of the equation ?

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There is a horizontal asymptote at .
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There is a horizontal asymptote at .
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There is a vertical asymptote at .
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There is a vertical asymptote at .
Option D
15

The equations and are graphed below. According to the graph, which of the following is part of the solution to the trigonometric inequality over the interval radians?

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x equal to StartFraction pi over 6 EndFraction
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x equal to StartFraction 2pi over 3 EndFraction
Option B
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x equal to StartFraction 4pi over 3 EndFraction
Option C
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x equal to StartFraction 3 pi over 2 EndFraction
Option D

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