Trigonometric tutorial simplify a trig expression

Trigonometric tutorial simplify a trig expression

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explores two methods for transforming trigonometric expressions: using secant squared and the Pythagorean identity, or transforming 1 minus sine squared. The instructor chooses the latter for simplicity, demonstrating how to use trigonometric identities to simplify expressions. By rewriting expressions, the tutorial shows how to achieve a simplified result where terms cancel out, ultimately equating to 1. The video emphasizes understanding and applying trigonometric identities for effective simplification.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method did the teacher choose to simplify the expression?

Transforming 1 minus sine squared

Transforming secant squared

Applying the double angle formula

Using the tangent identity

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What identity is used to transform 1 minus sine squared?

Cosine squared equals 1 minus sine squared

Secant squared equals 1 plus tangent squared

Sine squared equals 1 minus cosine squared

Tangent squared equals secant squared minus 1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of substituting cosine squared for 1 minus sine squared?

The expression becomes more complex

The expression remains unchanged

The expression becomes undefined

The expression simplifies

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can secant squared be rewritten to simplify the expression?

As sine squared

As cotangent squared

As cosine squared

As tangent squared

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result after simplifying the expression using trigonometric identities?

0

1

2

Undefined