Find the EXACT value of sin (A-B) if sin A = 15/17, cos A = 8/17, sin B = 3/5, and cos B = 4/5. sin (A-B) =

Question

Mathematics

Magdalena Leblanc

10 November, 10:18

Find the EXACT value of sin (A-B) if sin A = 15/17, cos A = 8/17, sin B = 3/5, and cos B = 4/5. sin (A-B) =

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Answers (1)

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Skyler Huerta · Answer 1

Value of sin (A - B) is 0.48

Step-by-step explanation:

Step 1: Given details are sin A = 15/17, cos A = 8/17, sin B = 3/5, cos B = 4/5. Formula for sin (A - B) = sin A cos B - cos A sin B Step 2: Find sin (A - B) using the formula.

⇒ sin (A - B) = (15/17 * 4/5) - (8/17 * 3/5)

⇒ sin (A - B) = 60/75 - 24/75 = 36/75 = 0.48