Learn how to verify an identity squaring a binomial

Learn how to verify an identity squaring a binomial

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial focuses on confirming trigonometric identities by making one side of an equation look like the other. The instructor advises picking a side and trying different methods, such as rewriting terms or using the FOIL method. The tutorial emphasizes the importance of practice and understanding trigonometric identities, particularly Pythagorean identities, to solve problems effectively.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in verifying a trigonometric identity?

Make both sides of the equation identical

Pick a side and try to transform it

Use a calculator to check the identity

Memorize all trigonometric identities

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is used to expand the expression (1 - tangent(Theta))^2?

Pythagorean Theorem

Quadratic Formula

FOIL Method

Distributive Property

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying (1 - tangent(Theta)) by itself?

tangent^2(Theta) - 2*tangent(Theta)

1 - tangent^2(Theta)

1 + tangent^2(Theta)

1 - 2*tangent(Theta) + tangent^2(Theta)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to transform 1 + tangent^2(Theta)?

Sine squared plus cosine squared equals one

Tangent squared plus one equals secant squared

Cosine squared plus sine squared equals tangent squared

Secant squared minus one equals tangent squared

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you consider when you see a trigonometric function squared?

Simplify using basic algebra

Convert to radians

Apply the Pythagorean identities

Use the quadratic formula