Simplifying Trig Expressions By Factoring ex 3

Simplifying Trig Expressions By Factoring ex 3

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to factor expressions by identifying common terms, specifically focusing on the cosine of Theta. It demonstrates transforming expressions into quadratic trinomials and further factoring them into binomials. The process involves substituting variables and verifying the results by multiplying back to the original expression.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common factor that can be factored out from the given trigonometric expressions?

Cosine of Theta

Tangent of Theta

Secant of Theta

Sine of Theta

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the substitution method, what is the sine of Theta replaced with?

X

Z

W

Y

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of rewriting the expression using substitution?

To make it more complex

To change the trigonometric function

To eliminate the variable

To simplify the expression

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can quadratic trinomials be expressed?

As a single polynomial

As a difference of squares

As a product of two binomials

As a sum of three terms

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step after factorizing the quadratic trinomial?

Replace every X with tangent of Theta

Replace every X with cosine of Theta

Replace every X with sine of Theta

Replace every X with secant of Theta