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?For the following exercises, find the requested information.Given that \(\sin

Chapter 9, Problem 21

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QUESTION:

For the following exercises, find the requested information.

Given that \(\sin a=\frac{4}{5}\), and \(\cos b=\frac{1}{3}\), with a and b both in the interval \(\left[0, \frac{\pi}{2}\right)\), find sin(a − b) and cos(a + b).

Text Transcription:

sin a = 4/5

cos b = 1/3

[0, π/2)

Questions & Answers

QUESTION:

For the following exercises, find the requested information.

Given that \(\sin a=\frac{4}{5}\), and \(\cos b=\frac{1}{3}\), with a and b both in the interval \(\left[0, \frac{\pi}{2}\right)\), find sin(a − b) and cos(a + b).

Text Transcription:

sin a = 4/5

cos b = 1/3

[0, π/2)

ANSWER:

Step 1 of 3

Using  we get:

In the interval  cosine is positive.

Using  we get:

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