If sin x = sin y = a and cos x = cos y = b, then cos (x - y) is equivalent to A. OB. C. D. b²-a² b²+ a² 2b-2a 2b + 2a

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question 19**

If \( \sin x = \sin y = a \) and \( \cos x = \cos y = b \), then \( \cos (x-y) \) is equivalent to:

- A. \( b^2 - a^2 \)
- B. \( b^2 + a^2 \)
- C. \( 2b - 2a \)
- D. \( 2b + 2a \)

The option selected is **B**. 

For more practice, review the trigonometric identities and formulas. If you're unsure about your answer, consider revisiting the sine and cosine difference identities for a deeper understanding.
Transcribed Image Text:**Question 19** If \( \sin x = \sin y = a \) and \( \cos x = \cos y = b \), then \( \cos (x-y) \) is equivalent to: - A. \( b^2 - a^2 \) - B. \( b^2 + a^2 \) - C. \( 2b - 2a \) - D. \( 2b + 2a \) The option selected is **B**. For more practice, review the trigonometric identities and formulas. If you're unsure about your answer, consider revisiting the sine and cosine difference identities for a deeper understanding.
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