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Solving Equations and Trigonometric Functions

Solving Equations and Trigonometric Functions

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.B.7, 7.EE.B.4A, 6.EE.B.7

+1

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSF.TF.B.7
,
CCSS.7.EE.B.4A
,
CCSS.6.EE.B.7
CCSS.HSF.TF.A.2
,
The video tutorial demonstrates how to solve an equation for Y by isolating the inverse trigonometric function, specifically the inverse cosine. The process involves multiplying both sides by the reciprocal, simplifying, and using trigonometric identities to solve for Y. The solution is verified using a calculator to ensure accuracy.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation for Y?

Subtract 2 from both sides

Multiply both sides by 4/3

Add 3 to both sides

Divide both sides by 2

Tags

CCSS.6.EE.B.7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of 3/4 used in the equation?

4/3

3/2

1/3

2/3

Tags

CCSS.HSF.TF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine value of 2PI/3 using the unit circle?

1

0

-1/2

1/2

Tags

CCSS.7.EE.B.4A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After simplifying, what is the equation for Y?

Y = -1/2

Y = 3/2

Y = 1/2

Y = -3/2

Tags

CCSS.7.EE.B.4A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step to solve for Y?

Add 1 to both sides

Multiply both sides by 3

Divide both sides by 3

Subtract 1 from both sides

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mode should the calculator be in to verify the solution?

Standard mode

Scientific mode

Radian mode

Degree mode

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should the left side of the equation equal after verification?

PI

PI/2

PI/3

2PI/3

Tags

CCSS.HSF.TF.B.7

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