Solve trig equation with cosecant

Solve trig equation with cosecant

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers solving trigonometric equations using different methods, focusing on the square root method and the concept of cosecant as a reciprocal of sine. It explains how to solve for sine and find angles using the unit circle, emphasizing the importance of understanding solution relationships and finding solutions within specified ranges.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is emphasized for solving equations in the introduction?

Completing the square

Quadratic formula

Square root method

Difference of two squares

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal identity of cosecant?

1 / cosine

1 / tangent

1 / sine

1 / cotangent

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is sine of X expressed when solving for it using the reciprocal of cosecant?

± 2

± 3/2

± 1/2

± 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle on the unit circle corresponds to sine of X being 1/2?

π / 3

π / 2

π / 4

π / 6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for 5π / 6?

π / 4

π / 3

π / 2

π / 6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the solutions π / 6 and 5π / 6?

They are 270 degrees apart

They are 360 degrees apart

They are 180 degrees apart

They are 90 degrees apart

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle fits the restriction between 0 and -π/2?

-π / 2

-π / 3

-π / 4

-π / 6