Using cofunction identities and identity functions to find the values

Using cofunction identities and identity functions to find the values

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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FREE Resource

The video tutorial covers the relationships between sine, cosine, and tangent functions, explaining how tangent is derived as the ratio of sine to cosine. It also introduces cofunction identities, showing how cosine and sine relate through complementary angles. The tutorial concludes with an explanation of the cotangent function as the reciprocal of tangent, emphasizing the importance of understanding these trigonometric identities.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

The X coordinate

The angle itself

The Y coordinate

The radius

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the tangent of an angle expressed in terms of sine and cosine?

Sine divided by cosine

Cosine divided by sine

Sine multiplied by cosine

Cosine minus sine

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the tangent of 60 degrees?

sqrt(3)/2

sqrt(3)

1/2

1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to cofunction identities, what is cosine of 30 degrees equal to?

Sine of 30 degrees

Sine of 60 degrees

Cosine of 60 degrees

Tangent of 30 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cotangent of 60 degrees after rationalizing the denominator?

sqrt(3)

1/3

sqrt(3)/3

1/sqrt(3)