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Evaluate the half angle for cosine from a triangle

Evaluate the half angle for cosine from a triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the cosine formula and its application using triangles and constraints. It discusses how to determine the cosine value based on the quadrant and provides methods to simplify the expression. The tutorial emphasizes algebraic manipulation and rationalization of denominators to achieve a simplified form.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for cosine in terms of Theta?

cosine of Theta all over 2

1 + sine of Theta all over 2

1 + cosine of Theta all over 2

1 - cosine of Theta all over 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is cosine negative?

First quadrant

Second quadrant

Third quadrant

Fourth quadrant

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying the expression 1 + cosine(-3/5) all divided by 2?

Add 3 to both sides

Multiply the top and bottom by 5

Combine the fractions

Multiply the top and bottom by 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of sqrt 2 / sqrt 10?

sqrt 20 / 10

sqrt 10 / 2

sqrt 2 / 5

sqrt 5 / 5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression discussed in the video?

- sqrt 5 / 5

sqrt 10 / 10

sqrt 5 / 5

- sqrt 10 / 10

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