Using sum and difference formulas to verify a trigonometric identity

The video tutorial explains how to verify a trigonometric identity involving π and θ. It begins with an introduction to the identity and a review of the cosine and sine difference formulas. The instructor then applies these formulas to verify the identity, simplifying the expression step by step. The tutorial concludes with a successful verification, demonstrating that the left side equals the right side.

What is the initial trigonometric identity that needs to be verified?

• π minus Theta minus the sine of π halves minus Theta equals zero

• π minus Theta plus the sine of π halves minus Theta equals zero

• π plus Theta plus the sine of π halves plus Theta equals zero

• π plus Theta minus the sine of π halves plus Theta equals zero

Which formula is used to express cosine of U minus V?

• sine of U times cosine of V plus cosine of U times sine of V

• cosine of U times cosine of V plus sine of U times sine of V

• sine of U times sine of V minus cosine of U times cosine of V

• cosine of U times sine of V minus sine of U times cosine of V

What is the value of cosine at π?

• 0

• 1

• Undefined

• -1

What is the value of sine at π/2?

• -1

• Undefined

• 1

• 0

What is the final result after simplifying the expression?

• -1 = 0

• 0 = 0

• 0 = 1

• 1 = 1