Using your trig and co function identities to evaluate

Using your trig and co function identities to evaluate

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the unit circle and trigonometric functions, focusing on sine, tangent, cosecant, cotangent, and cosine. It explains the relationships and identities between these functions, emphasizing the importance of understanding reciprocal and cofunction identities. The tutorial also demonstrates how to derive cosine values using known trigonometric identities and relationships.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosecant of 30 degrees if the sine of 30 degrees is 1/2?

sqrt 3

2

3

1/2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity relates the tangent of 30 degrees to the cotangent of 60 degrees?

They are reciprocals

They are inverses

They are equal

They are cofunctions

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the cotangent of 30 degrees calculated from the tangent of 30 degrees?

By taking the reciprocal

By subtracting 1

By adding 1

By multiplying by 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of rationalizing the denominator of 3/sqrt 3?

sqrt 3

1

3 sqrt 3

3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the sine of an angle represent on the unit circle?

Angle

Radius

Y-coordinate

X-coordinate

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the cosine of 30 degrees be derived using the unit circle?

By using the reciprocal identity

By using the tangent value

By using the cofunction identity

By using the sine value

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine of 30 degrees?

sqrt 2 / 2

1

sqrt 3 / 2

1/2