Solving Trigonometric Inequalities

Question 1

To help solve the trigonometric inequality , which two equations could you graph?

Revolt · Accepted Answer

B: and

Question 2

Which of the following is part of the solution to the trigonometric inequality over the interval radians?

Revolt · Accepted Answer

B: x is equal to StartFraction pi over 3 EndFraction

Question 3

To solve the trigonometric inequality , Carl graphed the equations and . Shelly, on the other hand, took the cube root of both sides of the inequality so that it became , and she then graphed the equations and . Which of the following statements is true regarding the points of intersection of Carl’s graph and Shelly’s graph?

Revolt · Accepted Answer

C: The points of intersection of Carl’s graph have the same x-coordinates as the points of intersection of Shelly’s graph but different y-coordinates.

Question 4

The graph below can be used to help solve which of the following trigonometric inequalities over the interval radians?

Revolt · Accepted Answer

B: cosine (x)  minus sine (x) is greater than  equal to minus 1

Question 5

In which of the following intervals does the trigonometric inequality always hold true?

Revolt · Accepted Answer

A: radians

Question 6

Which of the following trigonometric inequalities has no solution over the interval radians?

Revolt · Accepted Answer

D: cosecant (StartFraction x over 2 EndFraction) is less than 1

Question 7

What is the solution to the trigonometric inequality over the interval radians?

Revolt · Accepted Answer

D: and

Question 8

To help solve the trigonometric inequality , which two equations can be graphed?

Revolt · Accepted Answer

B: and

Question 9

The graph below can be used to help solve which of the following trigonometric inequalities over the interval radians?

Revolt · Accepted Answer

B: 5 sine (x) minus 7.5 is greater than equal to 6 sine (x)minus 7

Question 10

Which quarters of the unit circle satisfy the trigonometric inequality ? Assume that is the angle made by the positive x-axis and a ray from the origin.

Revolt · Accepted Answer

C: the top left and bottom right quarters

Solving Trigonometric Inequalities Answers

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