Solving Trigonometric Inequalities

Question 1

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

Revolt · Accepted Answer

B: and

Question 2

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

Revolt · Accepted Answer

B: and

Question 3

To help solve the trigonometric inequality , Tracey successfully graphed the equations and with her graphing calculator. Which of the following statements is true about the inequality?

Revolt · Accepted Answer

B: There is no solution because the graph of the equation is the same as the graph of the equation , so is never below .

Question 4

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

Question 5

Which trigonometric inequality has no solution over the interval radians?

Revolt · Accepted Answer

B: cosine (x) minus 1 is greater than 0

Question 6

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

Revolt · Accepted Answer

A: all of the unit circle

Question 7

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

Revolt · Accepted Answer

A: radians

Question 8

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 9

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

Revolt · Accepted Answer

D: and

Question 10

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

Solving Trigonometric Inequalities Answers

More from this Course

TRY EDGENUITY HACKS