Verifying a trigonometric Identities

Verifying a trigonometric Identities

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to verify a trigonometric equation by simplifying the left side using trigonometric identities. It starts with the equation y * 1 plus sine of negative Y equals cosine squared of Y. The instructor uses even and odd trigonometric identities to rewrite terms and then applies the difference of squares to simplify the expression. Finally, the instructor verifies that the simplified left side equals the right side, confirming the equation's validity.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between sine of negative Y and sine of Y according to the even and odd trigonometric identities?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you simplify the expression '1 plus sine of negative Y' using trigonometric identities?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of multiplying the binomials in the expression discussed in the text.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What identity can be used to rewrite 'one minus sine squared' and what does it equal?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusion can be drawn about the left side and right side of the equation after simplification?

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