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Ymorist [56]
3 years ago
8

Derive this identity from the sum and difference formulas for cosine:

Mathematics
1 answer:
DiKsa [7]3 years ago
4 0

Step-by-step explanation:

½ [cos(a − b) − cos(a + b)]

Using sum and difference formulas:

½ [cos a cos b + sin a sin b − (cos a cos b − sin a sin b)]

Distribute the negative:

½ (cos a cos b + sin a sin b − cos a cos b + sin a sin b)

Combine like terms:

½ (2 sin a sin b)

Simplify:

sin a sin b

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What is an equation of the line that passes through the point (5,1)(5,1) and is parallel to the line x+y=9x+y=9?
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Answer:

Step-by-step explanation:

Use the point-slope formula.

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3 years ago
Mason's annual income is $42,500. He receives an increase of 3.5% every year
Marysya12 [62]

The function that models Mason's yearly income is 42,500(1  + 0.035)^x.

Mason's income after 5 years would be $48,084.85.

<h3>What would be Mason's income after 5 years?</h3>

The function that models Mason's income is an exponential function that has the form:

p(1 + r)^x

Where:

  • r = percentage increase
  • x = number of years
  • p = present income

42,500(1  + 0.035)^x

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To learn more about exponential functions, please check: brainly.com/question/26331578

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