Solving Cosecant Equations and Angles

Solving Cosecant Equations and Angles

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.B.7, HSF.TF.A.2

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.HSF.TF.B.7
,
CCSS.HSF.TF.A.2
The video tutorial explains how to find the four smallest positive radian solutions to the trigonometric equation cosecant 4 theta - 4 = 0. The process involves isolating the trigonometric function, transforming the equation using the sine function, and performing a substitution to solve for U. The solutions are found using a calculator, considering the positive sine values in the first and second quadrants. Additional coterminal solutions are calculated, and the final step involves converting these solutions from U to Theta.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation cosecant 4 theta - 4 = 0?

Multiply both sides by 4

Divide both sides by 4

Add 4 to both sides

Subtract 4 from both sides

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it easier to solve the equation using the sine function instead of cosecant?

Cosecant is a complex function

Sine is a simpler function

Cosecant is not defined for all angles

Sine and cosecant are reciprocals

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What substitution is made to simplify solving the equation?

U = theta/4

U = theta

U = 2 theta

U = 4 theta

Tags

CCSS.HSF.TF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't sine function values of 1/4 be found using the unit circle?

The unit circle only includes integer values

1/4 is not a standard angle

The unit circle is only for cosine values

1/4 is not a possible sine value

Tags

CCSS.HSF.TF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mode should the calculator be in to solve for U?

Scientific mode

Radian mode

Graphing mode

Degree mode

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first solution for U in radians?

3.2527

2.2527

1.2527

0.2527

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the second solution for U found?

By dividing the first solution by 2

By adding 2π to the first solution

By doubling the first solution

By subtracting the reference angle from π

Tags

CCSS.HSF.TF.B.7

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?