Verifying trigonometric Identities

Verifying trigonometric Identities

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial guides viewers through solving a trigonometric identity problem. It begins with an introduction to the problem and its challenges, followed by an explanation of trigonometric identities. The instructor then demonstrates how to simplify the expression using the distributive property and verifies the identity by comparing both sides of the equation. The tutorial concludes with a successful verification of the identity.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when solving the given math problem?

To find the value of X

To verify that one side of the equation equals the other

To simplify the equation to zero

To apply the Pythagorean identity

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identities are used to convert tangents to cotangents?

Reciprocal identities

Pythagorean identities

Sum and difference identities

Quotient identities

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of multiplying by cotangent of X and Y in the expression?

To eliminate the numerator

To apply the Pythagorean identity

To simplify the expression to zero

To move cotangents from the denominator to the numerator

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is applied to simplify the expression further in the final section?

Associative property

Distributive property

Commutative property

Identity property

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What confirms that the trigonometric identity is verified?

The expression uses only sine and cosine

The left side equals the right side

The expression simplifies to zero

The expression contains no fractions