Cosine Rule Concepts and Applications

Cosine Rule Concepts and Applications

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Aiden Montgomery

FREE Resource

The video tutorial explains the cosine rule, its derivation for angles, and its application in solving problems. It includes examples of finding both sides and angles in triangles using the cosine rule, highlighting the importance of understanding the rule's application rather than just memorizing it.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary difference between the sine rule and the cosine rule?

The sine rule is more accurate than the cosine rule.

The cosine rule is only applicable to isosceles triangles.

The sine rule is used for right triangles only.

The cosine rule can be used to find both angles and sides.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in deriving the cosine rule for angles?

Multiplying both sides by cos C.

Dividing both sides by 2ab.

Adding 2ab cos C to both sides.

Subtracting c squared from both sides.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the cosine rule included in the formula and data sheet?

Because it is rarely used.

Because it is simpler than the sine rule.

Because it is complex and lengthy.

Because it is only applicable to obtuse angles.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the cosine rule for sides, what does the 'included angle' refer to?

The angle between the two known sides.

The smallest angle in the triangle.

The angle opposite the side being calculated.

Any angle in the triangle.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When using the cosine rule to find a side, what is the final step after substitution?

Divide by the cosine of the angle.

Take the square root of the result.

Add the squares of the sides.

Multiply the sides by the cosine of the angle.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key advantage of the cosine rule over the sine rule?

It requires fewer calculations.

It can be used for any triangle.

It provides exact values for obtuse angles.

It is simpler to remember.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example problem, which side is labeled as 'c'?

Any side can be 'c'.

The shortest side.

The side opposite the angle being calculated.

The longest side.

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