Use cofunction identities and trig identities to find the indicated trig functions

Use cofunction identities and trig identities to find the indicated trig functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains trigonometric identities, focusing on sine, cosine, and tangent. It discusses the unit circle and how angles are represented as coordinates. The instructor demonstrates solving for the cosine of 30 degrees using known values of sine and tangent, emphasizing the use of reciprocal identities and rationalizing denominators in equations.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal of the problem discussed in the first section?

To find the secant of 30 degrees

To find the sine of 30 degrees

To find the tangent of 30 degrees

To find the cosine of 30 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is NOT applicable for finding the cosine of 30 degrees in the first section?

Quotient identities

Pythagorean identities

Cofunction identities

Reciprocal identities

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the unit circle, what does the sine of an angle represent?

The radius

The angle itself

The Y coordinate

The X coordinate

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Cosine divided by sine

Cosine minus sine

Sine divided by cosine

Sine multiplied by cosine

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of the cosine of 30 degrees after solving the equation?

1/sqrt 3

sqrt 3 / 3

sqrt 3 / 2

1/2