Verifying a trigonometric Identities

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.

What is the initial equation that needs to be verified?

• y * 1 minus cosine of negative Y equals sine squared of Y

• y * 1 plus sine of negative Y equals cosine squared of Y

• y * 1 plus cosine of negative Y equals sine squared of Y

• y * 1 minus sine of negative Y equals cosine squared of Y

Which trigonometric identity is used to rewrite sine of negative Y?

• Sine of negative Y equals sine of Y

• Sine of negative Y equals negative sine of Y

• Cosine of negative Y equals negative cosine of Y

• Cosine of negative Y equals cosine of Y

What type of expression is formed after applying the trigonometric identities?

• Sum of two squares

• Product of two squares

• Sum of two cubes

• Difference of two squares

Which identity is used to simplify the expression to cosine squared of Y?

• Sine squared plus cosine squared equals zero

• Sine squared plus cosine squared equals one

• Sine squared minus cosine squared equals one

• Cosine squared minus sine squared equals one

What is the final conclusion after simplifying the expression?

• The left side is not related to the right side

• The left side is less than the right side

• The left side is greater than the right side

• The left side is equal to the right side