Solving Trigonometric Equations

Question 1

Select all of the following that represent the exact solutions of .

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-13-10-20-01-task/mr002-3.jpg; Answer image: https://media.edgenuity.com/EVresources/3111-13-10-20-01-task/mr002-4.jpg

Question 2

Evaluate: sin–1(1)

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-13-10-20-01-task/mc001-2.jpg

Question 3

Remember the definition of csc(x).To graph y = csc-1(x) on the calculator, which expression should be typed in the calculator?

Revolt · Accepted Answer

y = StartFraction 1 Over cosine superscript negative 1 (x) EndFraction; y = sine superscript negative 1 (StartFraction 1 Over x EndFraction)

Question 4

What is the range of y = csc-1(x) ?

Revolt · Accepted Answer

(Negative StartFraction pi Over 2 EndFraction, 0) and (0, StartFraction pi Over 2 EndFraction); (0, pi)

Question 5

Which is the graph of the inverse secant function?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-13-10-20-03-task/mc001-1.jpg

Question 6

Solve: 2sec(x) + 5 = 9Which equation is equivalent to the given equation?

Revolt · Accepted Answer

Cosine (x) = StartFraction 1 over 2 EndFraction

Question 7

Which are solutions of the given equation?

Revolt · Accepted Answer

StartFraction pi Over 3 EndFraction + 2 k pi and StartFraction 5 pi Over 3 EndFraction + 2 k pi

Question 8

Check all that apply.

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-13-10-20-05-task/mr001-3.jpg; Answer image: https://media.edgenuity.com/EVresources/3111-13-10-20-05-task/mr001-4.jpg

Question 9

Solve: tan(x) – cos2(x) = sin2(x)

Revolt · Accepted Answer

StartFraction pi Over 4 EndFraction + k pi

Question 10

Solve 2sin2(x) – 5sin(x) – 3 = 0.Let u = sin(x).Which of the following is equivalent to the given equation?

Revolt · Accepted Answer

(2u + 1)(u – 3) = 0

Solving Trigonometric Equations Answers

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