Evaluate using the half angle formula for Tangent

Evaluate using the half angle formula for Tangent

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial covers the use of angle formulas, focusing on the half angle formula for tangent. It explains how to solve for U, using 30 degrees for simpler calculations, and addresses common mistakes in angle conversion and fraction simplification.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What formula is the teacher asking the students to use instead of the sum and difference angles?

Pythagorean Identity

Double Angle Formula

Law of Sines

Half Angle Formula

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'U' when solving for the angle in the half angle formula?

390 degrees

195 degrees

150 degrees

45 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it easier to use 30 degrees instead of 390 degrees in calculations?

30 degrees is a smaller angle

30 degrees is a more common angle

390 degrees is not on the unit circle

30 degrees and 390 degrees give different results

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the sine and cosine values of 30 degrees on the unit circle?

0 and 1

1 and 0

sqrt 3 / 2 and 1/2

1/2 and sqrt 3 / 2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common mistake when dealing with fractions within fractions?

Adding instead of subtracting

Multiplying by the wrong denominator

Using incorrect trigonometric values

Forgetting to simplify

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result of the calculation after correcting the mistake?

1/2

sqrt 3 / 2

2 - sqrt 3

2 + sqrt 3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct radian measure for 30 degrees?

π / 3

π / 2

π / 4

π / 6