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marin [14]
2 years ago
5

Sin a_____=1/2 [sin (a + b) + sin (a - b)]

Mathematics
1 answer:
QveST [7]2 years ago
7 0

Answer:

\textbf{A.} \cos b

Step-by-step explanation:

\dfrac 12 \left[\sin(a+b)+\sin(a-b) \right]\\\\\\=\dfrac 12\left[ 2 \sin a \cos b\right]\\\\\\=\sin a \cos b

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Could someone please help? Thank You and NO LINKS!
Gekata [30.6K]

Answer: the second and the third one are right

Step-by-step explanation:

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3 years ago
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Mr. Sanchez has 16 feet of fencing to put around a rectangular garden. He wants the garden to have the greatest possible area. H
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To create a garden w/ the largest area you want to make a garden that is a square or as close as possible 16 is a perfect square # so the sides should be 4 ft each
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What is 31 divided by 9548
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31 divided by 9548 is 0.00324675
8 0
3 years ago
Consider the polynomial function P(x)=x³+42. Divide P by x− 4, and rewrite P in the form (divisor)(quotient)+remainder.
Bess [88]

x^2-4x+16+\frac{22}{x-4}

Step-by-step explanation:

The polynomial has two terms : x³ and 42

It is divided by x-4 with has two terms : x-4

The numerator is : x³ +42 and the denominator is x-4

When dividing use long division method where:

  • You divide the first term of the numerator with the first term of the denominator and put that in the answer, then multiply the denominator by that answer and put the value below the numerator followed by subtraction to create a new polynomial.Repeat the steps using the new polynomial

In this case, it will be;

x-4√x³+42 -----------------divide x³ by x to get x² then multiply the denominator to get

x³-42

x³-4x² ----------perform subtraction to get

0-4x²-42--------new polynomial to be divided by x-4 to get -4x

   -4x²+16x---------multiply the answer -4x by the denominator to get this

      16x-42 ---------perform subtraction, the new polynomial to be divided by x-4 to get 16

16x-64-----------perform subtraction to get 22 as the remainder

The answer will be ; quotient x²-4 and the remainder is 22/x-4 which is

x^2-4x+16+\frac{22}{x-4}

Learn More

  • Polynomial Division: brainly.com/question/8376298

Keywords : Polynomial function, Divisor, quotient,remainder

#LearnwithBrainly

3 0
3 years ago
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hoa [83]

Answer:

\sf \cos ^2\left(x\right)

Explanation:

\sf \sin \left(x\right)\csc \left(x\right)+\cos \left(\frac{3\pi }{2}-x\right)\sin \left(x\right)

\sf \sin \left(x\right)\csc \left(x\right)+\left(-\sin \left(x\right)\right)\sin \left(x\right)

\sf \sin \left(x\right)\csc \left(x\right)-\sin ^2\left(x\right)

\sf \cos ^2\left(x\right)

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2 years ago
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