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Sergio039 [100]
3 years ago
14

Sin4x-sin8x using a sum to product to rewrite the expression

Mathematics
2 answers:
Firdavs [7]3 years ago
7 0
Sin(4x) - sin(8x)
sin(2(2x)) - sin(2(4x))
2sin(2x)cos(2x) - 2sin(4x)cos(4x)
2[sin(x)cos(x)][cos²(x) - sin²(x)] - [2sin(2(2x))cos(2(2x))]
{2[sin(x)cos³(x) - sin³(x)cos(x)]} - [2[2sin(2x)cos(2x)][cos²(x) - sin²(x)]]
[2sin(x)cos³(x) - 2sin³(x)cos(x)] - {[2[2[sin(x)cos(x)][cos²(x) - sin²(x)]][cos²(x) - sin²(x)]}
[2sin(x)cos³(x) - 2sin³(x)cos(x)] - [2[2[sin(x)cos(x)][cos⁴(x) - 2cos²(x)sin²(x) - sin⁴(x)]]]]
[2sin(x)cos³(x) - 2sin³(x)cos(x)] - [2[2[sin(x)cos⁵(x) - 2sin³(x)cos³(x) + sin⁵(x)cos(x)]]]
2sin(x)cos³(x) - 2sin³(x)cos(x) - 4sin(x)cos⁵(x) + 8sin³(x)cos³(x) - 4sin⁵(x)cos(x)
LUCKY_DIMON [66]3 years ago
5 0
Hello,

sin(a)-sin(b)=2cos((a+b)/2)sin((a-b)/2)

sin 4x-sin 8x=-(sin 8x-sin 4x)=-2cos 6x sin2x
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Joshua has (10+6a^2-5a) dollars in his savings account. Maranda had (4a^2a+3) dollars in her saving account how much more money
solniwko [45]

Answer:

Joshua has 2a^2 -6a + 7 more than Maranda.

Step-by-step explanation:

Joshua has 6a^2 -5a + 10 dollars and Maranda has 4a^2 + a + 3 to find out how much more money Joshua has we need to subtract the amount he has by the amount of Maranda's account. Since both expressions are pollynomial we'll have to subtract the numbers wich are multiplying the same power, so we do as follow:

6a^2 - 5a + 10 - (4a^2 + a + 3)

6a^2 - 5a + 10 - 4a^2 -a -3

6a^2 - 4a^2 -5a -a + 10 -3

2a^2 -6a + 7

Joshua has 2a^2 -6a + 7 more than Maranda.

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3 years ago
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What is 13.8÷10 and a half
KengaRu [80]

The answer is 1.314

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A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and each pie, p, requires 8 apples. The baker
Lynna [10]
For this case, the first thing we must do is define variables.
 We have then:
 t: number of tarts
 p: number of pies
 We now write the system of equations:
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 8p + t ≤ 184
 the baker makes no more than 40 tarts per day:
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 Answer:
 A system of inequalities that can be used to find the possible number of pies and tarts the baker can make is:
 D. t ≤ 40
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:) got to love math lol
zzz [600]
Oof im bad at math XD
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piper works at a camera store.he is paid an hourly rate plus 16% commission on everything he sells. one week, he was paid $365 f
Alja [10]

Hi There!

Answer:

$18.25 per hour.

Step-by-step explanation:

365 / 20 = 18.25 (hourly pay)

1500 * 0.16 = 240 (comission)

Hope This Helps :)

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