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xeze [42]
3 years ago
10

Prove thatCos (A+B) + Sin (A-B) = 2sin(45+A).cos(45+B)

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

Answer:

Step-by-step explanation:

cos (A+B) + sin (A-B) = 2 sin (45°+A) cos (45° + B)

= 2 (sin45°cosA + cos45°sinA)(cos45°cosB - sin45°sinB)

But sin45=cos45 =(sqrt2)/2

= 2 ((sqrt2)/2 *cosA + (sqrt2)/2 *sinA)((sqrt2)/2 *cosB -(sqrt2)/2 *sinB)

= 2 ((sqrt2)/2 *(cosA + sinA))*((sqrt2)/2 *(cosB - sinB))

= 2*(sqrt2)/2 * (sqrt2)/2 * (cosA + sinA)*(cosB - sinB)

= (cosA + sinA)*(cosB - sinB)

= cosAcosB +sinAcosB -cosAsinB - sinAsinB

Regrouping:

= (cosAcosB- sinAsinB) + (sinAcosB -cosAsinB)

= cos (A+B) + sin (A-B)

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5 0
3 years ago
Find(x)=-x^2-4x+13<br> find f(3)
hichkok12 [17]

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Step-by-step explanation:

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An Algebra II textbook manufacturer determines that its profit, in thousands of dollars, can be modeled by the following functio
Tpy6a [65]

The following graph represent the given situation is (W)

<h3>What is graph?</h3>

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The complete question is:

An Algebra II textbook manufacturer determines that its profit, in thousands of dollars, can be modeled by the following function, where x represents the number of Algebra II textbooks sold, in hundreds.

P(x) = 0.0013x^{4} +x -4.

Use a table of values to determine which graph represents the given situation. Number of Textbooks Sold (in hundreds) Number of Textbooks Sold (in hundreds) w. X. g 4

table for P(x) = 0.0013x^{4} +x -4.

x     P(x)

0     -0.8949

1       0.3328

2       1.8125

3       3.6848

By the table value we can say that the root is in (3,4)

The graph which shows is (W).

Learn more about graph here:

brainly.com/question/14375099

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8 0
3 years ago
Can someone explain how to solve this?
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(-8,8)

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Simplify |n| + 4 < 12.  To do this, subtract 4 from both sides.  This results in:

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3 years ago
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C. 9x + 9y is the right expression
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4 years ago
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