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Rational Trigonometry Concepts

Rational Trigonometry Concepts

Assessment

Interactive Video

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

Norman Wildberger introduces rational trigonometry, focusing on the Cross Law, an algebraic approach without visual aids. He explains the setup involving points, lines, quadrances, and spreads, and provides a detailed proof of the Cross Law. The video also covers the derivation of other trigonometric laws from the Cross Law, emphasizing its foundational importance. The session concludes with a preview of future topics in relativistic geometry.

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video by Norman Wildberger?

Introduction to calculus

Rational trigonometry and the Cross Law

Geometry of circles

Algebraic equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the assumption made about the three points A1, A2, and A3?

They are equidistant

They are collinear

They are distinct

They form a right triangle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the term used to describe the distance squared between two points?

Spread

Quadrance

Distance

Angle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the Cross Law relate?

Three angles and one side

Three sides and one angle

Three spreads and one quadrance

Three quadrances and one spread

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the Cross Law be rewritten?

By adding a constant

By multiplying by -1

By dividing by 2

By subtracting a constant

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the Cross Law in mathematics?

It is a basic arithmetic rule

It is one of the most important formulas

It is a simple geometric principle

It is a fundamental calculus theorem

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the Cross Law, what happens if S1 equals 1?

Q1 equals Q2 plus Q3

Q1 equals Q2 minus Q3

Q1 equals Q2 divided by Q3

Q1 equals Q2 times Q3

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