Please Help!!!

write the expression as the sine or cosine of an angle.

sin 3x cos x - cos 3x sin x

Please Help!!! Write The Expression As The Sine Or Cosine Of An Angle.sin 3x Cos X - Cos 3x Sin X

Answers

Answer 1
Answer:  sin(2x)

In other words, you'll type "sin" without quotes in the green box.

Also, you'll type "2" in the gray box, which also won't have quotes.

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Explanation:

We'll use the first hint. Note the pattern of sin cos +-  cos sin which matches (somewhat) with the original expression.

Specifically, we'll use this identity

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

In this case, A = 3x and B = x

So,

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

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

sin(3x)cos(x) - cos(3x)sin(x) = sin(3x - x)

sin(3x)cos(x) - cos(3x)sin(x) = sin(2x)


Related Questions

what was the total number of hours worked on monday?

Answers

The answer is C because 3.75+4.75=8.50

Multiply. Write your answer as a fraction in simplest form. −1/4×(−4/3)=

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{4}[/tex] × - [tex]\frac{4}{3}[/tex] ( negative times negative = positive )

= [tex]\frac{1}{4}[/tex] × [tex]\frac{4}{3}[/tex] ( cancel the 4 on the numerator and denominator )

= [tex]\frac{1}{3}[/tex]

How do I solve this? What is the Answer?

Answers

Answer:

LN = 37

Step-by-step explanation:

Let LM= 22 and MN= 15Solution:22 + 15 = 37LN = 37

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

. Each of the following has 9 as a factor except
A) 18018 B) 18 081 C) 81 180
D) 81 181

Answers

Answer:

d

Step-by-step explanation:

81181÷9=9020.111111

every other number has a whole number as an answer not a decimal

a rectangular hall room is 12.25 metres in length and 7.75 metre in breadth. find the area of the rectangular hall room.

Answers

Answer:

Area= 94.9375

Step-by-step explanation:

What would the sum of the interior angles of a 14 sided shape be?
Select one:
O a. 360°
O b. 180°
O c. 14°
O d. 2,160°

Answers

Answer:

the sum of interior angles of a 14 sided shape be 2160

Answer:  D)  2160

Work Shown:

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

S = 180(14-2)

S = 180*12

S = 2160

Triangle, parallelogram lies between same parallel lines.

True or False

Answers

Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

please help with this!!!

Answers

Answer:

second option ∠C = 60 degrees

Step-by-step explanation:

To find the angle C

we know that the sum of all interior angles of triangle is 180

∠A + ∠B + ∠C = 180 (sum of interior angles)

90 + 30 + ∠C = 180

120 + ∠C= 180

∠C = 180 - 120

∠C = 60

Answer: B. 60

Concept:

Here, we need to know the idea of the triangle angle sum theorem.

The triangle angle sum theorem states that the sum of interior angles is 180 degrees.

Step-by-step explanation:

Given information

∠A = 90°

∠B = 30°

∠C = unknown

Given expression deducted from the triangle angle sum theorem

∠A + ∠B + ∠C = 180

Substitute values into the expression

90 + 30 + ∠C = 180

Combine like terms

120 + ∠C = 180

Subtract 120 on both sides

120 + ∠C - 120 = 180 - 120

∠C = [tex]\boxed{60}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

PLS TELL ME HOW THIS TRICK WORKED!! I HAVE TO SUBMIT KT SOON!

Answers

Answer:

x=2

Step-by-step explanation:

let the unknown number be x

now we are to find x regarding the question as an equation, let's form the equation to solve for x

the interpretation of the question is:

(x² + x)/3 = x

by collecting the like terms:

(x²+ x) = 3x

x² + x = 3x

x² = 3x - x

x² = 2x

x = 2

Answer:

The number you thought to start with, X

Step-by-step explanation:

Magician's secret:

Step 1: Let the original number you thought of be X

Step 2: 2 × x = 2X

Step 3: 2X + X = 3X

Step 4: 3X/3

》X

I’ve been stuck on this for days pls help

Answers

Answer:

1120 inches squared

Step-by-step explanation:

change the 4 separate boxes into a single box with dimensions 10 by 12 by 20 (5+5+5+5=20) then find the surface area:

2(20*12 + 20*10 + 12*10)=2(240+200+120)=2*560=1120

What is the simplified expression for -3(2x-y)+2y + 2(x+y)?
O 8x+y
O y-4x
O TY- 44
O -4x-y

Answers

Answer:

[tex] - 3(2x - y) + 2y + 2(x + y) \\ - 6x + 3y + 2y + 2x + 2y \\ = - 4x + 7y[/tex]

I hope I helped you^_^

Answer:Check the options well. My answer isn't in the options

Step-by-step explanation:

help help help help help

Answers

A little summary of the question:

The question has asked you to turn the shape 180° counterclockwise. that in simpler words means flipping the shape 2x right making a mirrored reflection of the shape.

Answer:

point J = (2,8)

point M = (2,9)

point L = (-6,9)

point K = (-6,8)

a mivie is 1 7/8 hours long after 45 minutes, how much of the movies is left

Answers

Replace the hours to minutes
1 7/8 * 60 = 112.5 minutes
112.5 - 45 = 67.5 minutes left
Or
67.5/60 = 1.125 hours left

anyone know how to solve these​

Answers

Answer:

Step-by-step explanation:

I have attached.

Which equation can be used to solve for x in the following diagram?

Answers

Answer:

semoga jawapan ini dapat membantu anda

Answer:

D

Step-by-step explanation:

there are 78.1 grams of carbon in a sample of 92.7 grams of octane. what is the percent of carbon within the sample of octane?

Answers

The percent  of carbon within the sample of octane is 84.25%

A percentage is a fraction of a total amount divided into hundred parts

The percent  of carbon within the sample of octane = (grams of carbon / grams of octane) x 100

(78.1 g / 92.7 g) x 100 = 84.25%

To learn more about percentages, please check : https://brainly.com/question/19179977?referrer=searchResults

The percent of carbon within the sample of octane in the exercise is:

84.25%

Calculation of percentages using the rule of three.

To make a calculation of the percentage of a sample, a simple rule of three can be used, where it is identified:  

92.7 g     →      100% 78.1 g      →        x

The octane sample is used as 100% since it is the total sample, while carbon is only a part of it, now we proceed to calculate:

[tex]x=\frac{78.1*100}{92.7}[/tex][tex]x=\frac{7810}{92.7}[/tex]x = 84.25026969x ≅ 84.25%

In this way, it can be identified that the percentage of carbon in the octane sample is approximately 84.25%.

If you want to see another exercise about percentages, you can visit the next link: https://brainly.com/question/6269728?referrer=searchResults

What is 10% of a number whose square
is 81

Answers

Answer: 0.9

Step-by-step explanation:

Let x be the number

Determine the value of the number

x² = 81

√x² = √81

x = 9

Find the 10% of the number

Final number = rate of percentage × original number

Final number = 10% × 9

Final number = [tex]\boxed{0.9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Please help!!!!!!!!!

Answers

Answer:

D. 12.9 is the correct answer

I hope this helps!

Math experts ONCE AGAIN :)
giving brainly!!

Answers

Answer:

A) $49

Step-by-step explanation:

There are two ways to solve this problem. You could either calculate the net change by adding up the values in the table and then adding that to the initial amount, or you could individually add every change in price to the initial amount. I'm going to go with the first way, as I find it to be quicker, but both methods work equally well.

We know that the stock was worth $52 on Monday morning. From the table, the net (or overall) change in the stock over the course of the week is:

-2 + 1 + 3 - 1 - 4 = -3

Therefore, the stock's price decreased by $3 over the week, and because the stock's original price was $52, we know it is now worth 52 - 3 = $49. Hope this helps!

If two lines intersect, they intersect at two different points.
is this statement true or false

Answers

Answer: False

If two lines intersect, then they intersect at one point only, so it makes no sense to mention a second point. This is assuming that we're not talking about two lines intersecting infinitely many times (i.e. one line overlapping another perfectly).

this is false because is 2 lines a straight and intersecting each other it is only possible for it to intersect one time.

So the statement is FALSE

given AB= DE <A=<D and AC= DF​

Answers

Answer:

Step-by-step explanation:

A class is made up of 8 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses?

Answers

Answer:

1/6

Step-by-step explanation:

The total amount of people 8+4=12

there are 4/2=2 girls with glasses

the probability to chhose a girl with glasses is 2/12=1/6

The quotient of 31 and the product of a number and - 8?

Answers

Answer:

[tex]\frac{31}{-8n}[/tex]

Step-by-step explanation:

Overall, the expression is a quotient, and you're dividing 31 by whatever the product is of -8 and an unknown number (a variable). The product of -8 and a number means you multiply them together

please help. pleasee

Answers

Answer:

1st option

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] ( which can be used on more than 2 numbers )

Given

(- 7)² × [tex](-7)^{5}[/tex] × [tex](-7)^{-9}[/tex]

= [tex](-7)^{(2+5-9)}[/tex]

= [tex](-7)^{-2}[/tex]

A jar contains 30 red marbles, 50 green marbles, and 20 blue marbles. What is the probability of getting a
marble that is not red when drawing one at random?

Answers

Answer:

P(not red marble)=8/11

Step-by-step explanation:

sample space is 110

subtract the red (30)

110-30=80

80/110=8/11

gg ez

There are a total of 100 marbles (30+20+50).
Of that 100, 70 are not red (50 green + 20 blue).

This means you have a 70/100 chance of pulling something that’s not red.

70/100 reduces down to 7/10 or 70%.

What does X equal in this?​

Answers

Answer:

45

Step-by-step explanation:

∠FEC = ∠DEG (Vertically opposite angles)

=> x = 20+25=45

How old is Aunt Sally if Jerome is 14 years old? Explain your thinking, how did you come up with your expression, how did you solve?

Answers

Answer:

Step-by-step explanation:

I don't get this question

kevin buys cornflakes for £1.40 and chocolate for £1.50 he makes cornflakes cakes he sells 10 for £1 each how much profit does he get

Answers

The answer is 1.10 because you have $90 you give away fifty

What’s the answer????

Answers

hey <3

negative exponentials can be written as a power of a fraction

for example, 4^-2 can be written as 1/(4^2)

thus, your answer would be 1/(5^2)

hope this helps :)

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then

[tex]5^{-2}[/tex] = [tex]\frac{1}{5^{2} }[/tex] = [tex]\frac{1}{25}[/tex]

a. Find the value of sin2A, cos2A, tan2A and cot2A when sinA = 4/5 , cosA =4/5, tanA= 3/4 and cotA = 12/13​

Answers

Step-by-step explanation:

Given,

SinA = 4/5

CosA =4/5

TanA= 3/4

CotA = 12/13

Sin²A = SinA²

Cos²A = CosA²

Tan²A = TanA²

Cot²A = CotA²

Therefore,

Sin²A = (4/5)²

Cos²A = (4/5)²

Tan²A = (3/4)²

Cot²A = (12/13)²

Sin²A = 16/25

Cos²A = 16/25

Tan²A = 9/16

Cot²A = 144/169

Step-by-step explanation:

explanation is given in picture

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