Understanding the Sine and Cosine Rules

Understanding the Sine and Cosine Rules

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Medium

Created by

Amelia Wright

Used 3+ times

FREE Resource

The video tutorial explains how to find missing sides or angles in triangles using the sine and cosine rules. It highlights the importance of labeling sides and angles correctly and provides guidance on when to use each rule. The sine rule requires one complete pair of a side and its angle, while the cosine rule is used when all three sides are known or when two sides and the included angle are given. The video concludes with a summary of these key points.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of triangles can the sine rule be applied to?

Only isosceles triangles

Any type of triangle

Only equilateral triangles

Only right-angled triangles

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the cosine rule introduced as an alternative to the sine rule?

Because the sine rule is too complex

Because the sine rule doesn't work in all cases

Because the cosine rule is more accurate

Because the sine rule is only for right-angled triangles

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How should sides and angles be labeled in a triangle for applying the sine and cosine rules?

Sides with numbers and angles with letters

Sides with lowercase letters and angles with uppercase letters

Sides with uppercase letters and angles with numbers

Sides with symbols and angles with numbers

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is required for the sine rule to work?

Three sides of the triangle

One complete pair and half of another pair

Two angles and one side

Two complete pairs of sides and angles

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of the sine rule, what constitutes a 'complete pair'?

A side and its adjacent angle

A side and its opposite angle

Two sides of the triangle

Two angles of the triangle

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When is the cosine rule applicable?

When only one side is known

When all three angles are known

When all three sides are known or two sides and the included angle

When two angles and a side are known

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key difference between the sine and cosine rules?

The sine rule is for right-angled triangles, cosine for others

The sine rule requires a complete pair, cosine can work with all sides

The cosine rule is simpler than the sine rule

The sine rule is more accurate than the cosine rule

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