Learn to evaluate the half angle for tangent on the unit circle

Learn to evaluate the half angle for tangent on the unit circle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify a trigonometric expression involving cosine and sine. It starts with the expression 1 minus cosine of U divided by sine of U, identifies the coordinate point, and simplifies the expression by combining terms and rewriting fractions. The tutorial concludes with the final simplified expression.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the coordinate point identified in the expression 1 minus cosine of U divided by sine of U?

(-1/2, -√3/2)

(√3/2, 1/2)

(1/2, √3/2)

(-√3/2, -1/2)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the number 1 rewritten during the simplification process?

1/1

3/3

4/4

2/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the signs when dividing two negative numbers in the expression?

They become positive

They cancel out

They become zero

They remain negative

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed when dividing a fraction by another fraction?

Divide by the reciprocal

Add the fractions

Multiply by the reciprocal

Subtract the fractions

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified result of the expression?

-2 - √3

2 - √3

-2 + √3

2 + √3