Learn how to verify a simple trigonometric identity

Learn how to verify a simple trigonometric identity

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the process of simplifying trigonometric expressions by focusing on one side of the equation. It demonstrates rewriting cotangent and cosecant functions and emphasizes the importance of choosing one side for simplification. The tutorial concludes with verifying the simplified expression, ensuring it matches the right side of the equation.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying a trigonometric identity according to the instructor?

Choose both sides to simplify

Choose one side to simplify

Rewrite the equation in terms of tangent

Multiply both sides by a constant

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is cotangent expressed in terms of sine and cosine?

Sine over cosine

One over cosine

Cosine over sine

One over sine

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for cosecant in terms of sine?

Cosine over sine

One over cosine

Sine over cosine

One over sine

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of multiplying by the 'circle' in the simplification process?

To add fractions

To eliminate fractions

To convert to tangent

To verify the equation

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the instructor achieve by the end of the simplification process?

A different trigonometric identity

An unsolvable equation

A verified equivalence

A new equation