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Verdich [7]
3 years ago
10

Write sin(2x) cos(6x) as a sum of trigonometric functions.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0
Use the identity 

sin u cos v  = 1/2(sin (u + v) + sin(u - v))
so its:-

1/2(sin(8x) + sin (-4x))  Answer

You might be interested in
Earl is ordering supplies. Yellow paper costs $4.00 per ream while white paper costs $7.50 per ream. He would like to order 100
Eddi Din [679]

Answer:

Earl should order 76 yellow paper reams and 24 white paper reams.

Step-by-step explanation:

This problem can be computed as system of equations.

I will say that x is the number of yellow paper reams and that y is the number of white paper reams.

Earl will order 100 reams in total, so

x + y = 100

He has a budget of $484, so this is what he is going to spend. Each yellow paper ream(x) costs $4.00 and each white paper ream costs $7.50, so we know that

4x + 7.5y = 484

To know how many reams of each color should he order, we need to solve the following system of equations

1) x + y = 100

2) 4x + 7.5y = 484

I am going to write x as a function of y in equation 1), and then replace it in equation 2).

x = 100-y

Now replacing in equation 2)

4(100-y) + 7.5y = 484

400 - 4y + 7.5y = 484

3.5y = 84

y = 24.

Returning to equation 1)

x = 100-y = 100-24 = 76

So, Earl should order 76 yellow paper reams and 24 white paper reams.

5 0
3 years ago
How many times does 56 go into 160
aksik [14]
Hello!

160÷56= 2.86
You can figure out how many times a number goes into another number by dividing the bigger number by the smaller number.

Hope that made sense!
5 0
4 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
Lina20 [59]

Answer: hii :)

Simplify the expression.

<h3>Step-by-step explanation: its c!</h3>

Exact Form:

<u>4/5</u>

Decimal Form:

<u>0.8</u>

Hopefully this helps you

- Matthew <3

4 0
2 years ago
Give each answer as mixed number in simplest form
allochka39001 [22]

Answer:

3 7/18

Step-by-step explanation:

2 1/6 + 1 2/9 (- cancels with the - to give us +)

Convert to simple fraction: 13/6 +11/9

Find the common denominator: 13x 3/6x3  + 11 x 2/9 x 2

39/18 + 22/18

Now that the denominators are same, conduct the given operation.

39 + 22/ 18

61/18

Convert into mixed fraction: 3  7/18

Final answer: 3 7/18

7 0
2 years ago
Read 2 more answers
Please awnser questions, no links, no I dont know
Verdich [7]

Answer: 16

its just x plus 1/3 of x. This is harder to find so youre probably not expected to find it this way.

Actual way to solve it.

set up proportion.

\frac{3}{4} = \frac{12}{x}

cross multiply

3 x x = 3x

12 x 4 = 48

48 = 3x

divide by 3 to get x

48 / 3 = 16

x = 16

4 0
3 years ago
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