Verifying a trigonometric Identities

Verifying a trigonometric Identities

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify a trigonometric problem using identities. It starts by setting up the problem and identifying which side to work on. The instructor then applies trigonometric identities, focusing on cotangent and secant, and uses the Pythagorean identity to rewrite expressions. Finally, the tutorial demonstrates how to verify the identity by showing that cotangent and tangent are reciprocals, using the quotient identity to confirm the result.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus when simplifying the given trigonometric problem?

Working with the right side of the equation

Ignoring the identities

Using algebraic identities

Applying trigonometric identities

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to rewrite secant squared of y minus 1?

Reciprocal identity

Quotient identity

Sum and difference identity

Pythagorean identity

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does tangent squared of y equal when using the Pythagorean identity?

Secant squared of y plus 1

Sine squared of y

Secant squared of y minus 1

Cotangent squared of y

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How are cotangent squared and tangent squared related?

They are equal

They are reciprocals

They are unrelated

They are both zero

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying cotangent squared by tangent squared?

Zero

Infinity

Two

One