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Simplify a trigonometric expression using difference of two squares

Simplify a trigonometric expression using difference of two squares

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to simplify rational expressions by using the conjugate and Pythagorean identities. It highlights the importance of recognizing the difference of squares and demonstrates how to transform expressions for simplification. The tutorial concludes with a step-by-step simplification process, resulting in a simplified expression.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is one method mentioned for simplifying a rational expression with a binomial term?

Adding a constant to both terms

Multiplying by the conjugate

Dividing by the highest common factor

Subtracting the smaller term from the larger one

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to relate sine squared and cosine squared?

Geometric identity

Pythagorean identity

Algebraic identity

Trigonometric identity

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't you directly cancel terms in the expression 1 - sin^2(Y) / 1 - sin(Y)?

Because the terms are not multiplied

Because the terms are not squared

Because it involves a binomial term

Because they are not like terms

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical concept is used to rewrite the expression 1 - sin^2(Y)?

Quadratic formula

Difference of squares

Sum of cubes

Binomial theorem

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression after using the difference of squares?

1 + sin(Y)

1 - sin(Y)

cos(Y)

sin(Y)

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