solve for sin3theta​

Answers

Answer 1

Answer:

 sin 3 θ  = 3 sin θ  - 4 sin³θ

Step-by-step explanation:

Step(i):-

Given    sin 3 θ  

            =  sin ( 2θ + θ )

apply trigonometric formula

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

        sin 2 A = 2 sin A cos B

        Cos 2 A = 1 - 2 sin² A

        cos ² A - sin ² A = 1

Step(ii):-

    sin 3 θ  =     sin ( 2θ + θ )

               =  sin 2θ cosθ +  cos2θ sin θ

              = 2 sin θ cos θ cos θ +( 1 - 2 sin² θ )sin θ

              = 2 sin θ (cos² θ ) + sin θ- 2 sin³ θ

              = 2 sin θ ( 1- sin²θ) + sin θ- 2 sin³ θ

              = 2 sin θ - 2sin³θ +  sin θ- 2 sin³ θ

              = 3 sin θ  - 4 sin³θ

Final answer :-

 sin 3 θ  = 3 sin θ  - 4 sin³θ

                             


Related Questions

Estimate.Solve problem

3/6+1/3=

Answers

Answer:

5/6

Step-by-step explanation:

5/6 would be the answer simplified I hope that helps :)

Answer:

5/6 which is 0.83

Step-by-step explanation:

(4x)° (5x+18)° 81° solve for x

Answers

Answer: If you see my picture and you will see my answer

Step-by-step explanation: Hope this help


g(x) = 3x + 2
f(x) = 4x - 3
Find: f(g(x))

Answers

Answer:

5

Step-by-step explanation:

g(x)=3x+2

g(x)÷x=3x÷x+2

g=3+2

g=5

f(x)=4x-3

f(x)÷x=4x÷x-3

f=4-3

f=1

3x+2÷g=4x-3÷f

2÷g=x-3÷f

5÷g=x÷f

5÷5=x÷1

1=x

1×(5×1)

5

2/3 parts of the earth 's surface is covered with water.
(i) Express it in percent.
(II) How many percent is the continental part ?​

Answers

Answer:

Water =2/3× 100%=200/3%=66.67%

So land will be 100% - 66.67%

=33.33

some one please help me ​

Answers

Answer:

b>k c>L  ac>JL  bc>KL

Step-by-step explanation:

poggers

Answer:

B = K

C = L

AC = JL

BC = KL

hope this helps!

Graph: y=3/4x+5 Please let me know guys

Answers

what do you need to know bud

Which shape is an example of rotational symmetry

Answers

C should be the answer as it’s equal in width and length on all sides

Help please......................

Answers

7 because 4+2=6 and 1/2+1/2=1 so 6+1=7

Answer:

6 1/2

Step-by-step explanation:

4 1/2+2 1/2

= 9/2+5/2

=14/2

=7

Hope This Helps, BadAtMath99

What is the vertex of the equation y = (x - 3)2 + 7?

Answers

Answer:

(3,7)

Step-by-step explanation:

(50 POINTS) (PLEASE ANSWER THE QUESTION, NOT JUST TRY AND TAKE MY POINTS, I NEED HELP ON THIS SO DO NOT ANSWER IF YOU DO NOT KNOW OR ARE JUST TRYING TO TAKE MY POINTS)
Is there a proportional relationship between number of sandwiches and the cost of the order? Explain how you know.
(The picture shows what the relationship is now all I need to find is if it’s proportional or not, and why. Can you help me please? It’s homework, and it’s due in 5 minutes.)

Answers

Answer:

No, there is no proportional relationship

Step-by-step explanation:

The proportional relationship is:

y = kx, which is a special form of linear equation, with zero y-intercept

In the given case we have:

y = 4.5x + 10

This is a linear function but not proportional relationship because it has y-intercept, different than zero

LAST ONE! Simplify the following expression.

Answers

Answer:

5+5root3

Step-by-step explanation:

Answer:

5+5root3

Step-by-step explanation:

sorry if its wrong

The sum of the interior angles of a triangle is _______. 90° 180° 270° 360°

Answers

I think it’s either 180 or 360

Answer:

180

Step-by-step explanation:

What is the inverse of the function f(x) = 4x + 8?

Answers

Answer:

h(x) = (1/4)x - 2 which is choice A

Step-by-step explanation:

Replace f(x) with y. Then swap x and y. Lastly, solve for y to get the inverse.

f(x) = 4x+8

y = 4x+8

x = 4y+8

x-8 = 4y

4y = x-8

y = (x-8)/4

y = x/4 - 8/4

y = (1/4)x - 2

h(x) = (1/4)x - 2

Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The
equation 0.05n + 0.1d = 3.65 is one way to represent this situation.
Which equation is equivalent to the equation 0.05n +0.1d = 3.657

Answers

Answer:5n+10d=365.7 pennies

Step-by-step explanation:

(PLEASE HELP ASAP ILL MARK BRAINIEST)
In the figure below, Triangle ABC is similar to Triangle XYZ. What is the length of YZ? Enter only the number.

Answers

Answer:

The answer would be 24

Step-by-step explanation:

8 x 3 = 24

Nancy has 7 boxes of tomatoes. Each day, she picks another
2
box. How many boxes of
tomatoes will Nancy have in 6 days? Write an equation, complete the table, and then graph to
solve the problem.

Answers

Answer:

19 boxes of tomatoes

Step-by-step explanation:

If she starts with 7 boxes of tomatoes and she picks 2 more each day for 6 days then you can multiply 2 by 6 and get 12 tomatoes then you add the 7 boxes she originally started with and you get 19 boxes of tomatoes.

The number of boxes Nancy had after 6 days is 19, the equation representing the given phrase is y = 2x + 7, and the graph is attached below.

What is graph?

A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.

Given:

Nancy has 7 boxes of tomatoes,

Each day, she picks another 2 boxes,

The equation which will represent the above phrase is shown below,

Total number of tomatoes = The number of tomatoes she already had + number of days × each day's tomatoes picked by Nancy,

Assume the total number is y and the number of days is x then,

y = 7 + 2 × x

y = 2x + 7

Put the value of x = 6,

y = 2 × 6 + 7

y = 12 + 7

y = 19

Thus, she has a total of 19 boxes of tomatoes after 6 days.

To know more about Graph:

https://brainly.com/question/10712002

#SPJ2

Write the equation of the line in slope-intercept form.

Answers

Answer: y=-3/4x

Step-by-step explanation:

The slope intercept form is when you use the equation y=mx+b (m is the slope and b is the y-intercept). First, let's find the y intercept. The y intercept is what y would be if x is 0. here, you can see that this particular line passes through the origin. So, the y-intercept is zero because when x passes through zero, y is also zero. Next, let's find the slope. The formula for slope is change in y/change in x. Let's randomly choose 2 points off this line. To make this a thousand times easier for us, let's choose the points (-4, 3) and (4, -3). Now, to find the change in y, let's find the difference between the 2 y coordinates we have chosen. To do this we just need to do -3-3, which gives us -6. Now let's find the change in x. To do this we will do the same thing we did to find the change in y but this time we'll use the x coordinates. We will do 4-(-4), which simplifies to 8. Now, we're almost done. Just divide the change in y by the change in x. You will get -6/8. This can be simplified to -3/4. So now we know our slope is -3/4 and our y-intercept is 0. Let's insert them into the equation. y=-3/4x+0. We know that we can just get rid of that 0 because 0 literally means nothing. So our final answer is y=-3/4x. Hope this helps!

1. If you make 8 1/5 cookies in 1/4 of an hour, how many cookies can you make in one hour? Find
the unit rate.

Answers

Answer:

32.8

Step-by-step explanation:

you divide 8 1/5 by 1/4 to find the unit rate.

Given: wzx and yzx are right triangles, wx = yx. Prove wxz ~= yx .....plz answer will give brainlyest!!

Answers

Answer:

The answer is below

Step-by-step explanation:

From the question,

Statement                                           Reason

ΔWZX and ΔYZX are                         Given

right angled triangles

WX = YX                                              Given

XZ ≅ XZ                                               Reflexive property. The reflexive  

                                                            property of congruence states that              

                                                            any shape is congruent to itself.

∠XZW = ∠XZY                                     Definition of right angle.

∠XWZ = ∠XYZ                                     Definition of isosceles triangle.

                                                             Triangle XYW forms a right angled  

                                                             triangle since YX = WX

∠XWZ + ∠WXZ + ∠XZW = 180°           Sum of angles in triangle WZX

∠XZY + ∠XYZ + ∠YXZ = 180°            Sum of angles in triangle YZX

∠XWZ + ∠WXZ + ∠XZW =                 Substitution

∠XZY + ∠XYZ + ∠YXZ

∠XYZ + ∠WXZ + ∠XZY =                 Substitution

∠XZY + ∠XYZ + ∠YXZ

∠WXZ = ∠YXZ                                  Simplification

I am in desperate need of help

I will give out as many points as I can

please tell me where to place them

Answers

Wait...

This is map!

U are not supposed to be cheating in MAP!

the bottom point is 104! 71+104 =175
i’ll try and work the other points give me a minute!

help me please the first answer gets the brainiest

Answers

I took a screen shot to mark the dots I hope this helps

Answer:

that is simple, use the graph and put parenthesis around say 1 and 2 then graph it then keep doing that throughout the graph if you want further explanation just ask

Step-by-step explanation:

Plz I will chose you the brainlest. (Chose all that apply)

Answers

Answer:

C

Step-by-step explanation:

Let us rule out the first one. c+11 is not equivalent.

The second one does not work either because it is adding the two terms instead of multiplying.

The last one does not work either because again, it is adding.

C, the third one works. This is because using multiplaction, you can rearrange the order of the terms and still get the same answer.

Therefore, the third one

Hope this helps! :)

Answer:

I think it is C and D

Step-by-step explanation:

!!!!

2+2 pls help quick or ill fail sike awnser 7/3x = 2/3

Answers

Answer:

21/3 i think

Step-by-step explanation:

uh-

well 2+2 is 4 and 7/3x=2/3 is 2/7

HELPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

The lines represent the lines of symmetry where the image can be reflected upon. Hence it is reflectional.

The dot in the middle of the image tells us that the image can be rotated about the dot to produce the exact same image. Hence it is rotational.

The answer is both rotational and reflectional.

Answer:

I broke it to phrases. Make sure to read both.

It is rotational symmetry. This is because rotational symmetry means it is able to be rotated, and looks the same. This is true with this figure. The lines demonstrate that it is an equal dimensioned 2D shape.

It is ALSO reflection symmetry because this means it can be split through the center and looks exactly the same, as if it was a reflection. This is true here too because it has the same amount of lines split through the same angle on each side making it equal. You can also see a line already going through the shape, and as you can see if you look at see side it looks equal, like a reflection.

The answer is D.

c< (78/10 - 6/10) ÷ 9/10​

Answers

Answer:

c < 8

Step-by-step explanation:

What should managers use if they want to identify and respond in a timely manner to social and political shifts?

Answers

Answer:

They need to use issues management

Step-by-step explanation:

Due to the fact that social and political shifts are usually quite complex in terms of the possible issues that arise from them, managers are best served to use Issues management because it is an anticipatory and strategic management process which aids organizations in quick & timely detection and response to changes in the socio - political system or environment.

heather spend 2/7 of her money buying presents. she then had €48.65 left how much had she at first?​

Answers

Given :

Heather spend 2/7 of her money buying presents.

She then had €48.65 left.

To Find :

The initial amount of money she had.

Solution :

Let, initial amount she had is €x.

So,

[tex]x - \dfrac{2x}{7} = 48.65\\\\\dfrac{5x}{7} = 48.65 \\\\x = \dfrac{48.65\times 7}{5}[/tex]

x = €68.11

Therefore, initially he had €68.11 .

Please help with this!! Triangles and angles

Answers

Answer:

Hello, for the second question, you can actually form a triangle from the line. From there, you can see the height (aka y) will be easier to solve. I hope this helps!

Ans: 1) 47.5

2) 3.4

Step-by-step explanation:

PLEASE HELP !!! i need to know the surface area

Answers

Answer:

244 ft²

Step-by-step explanation:

Rectangle Base Area: 6•4=24

Rectangle Side Area: 8•10=80; 80•2(sides) = 160

Triangle Sides Area: (10•6=60); 60/2(area of triangle) = 30; 30•2(sides)=60*

*Technically can skip the divide by two and then multiply by two, since they cancel out*

(Area of Triangle Formula= 1/2bh)

Add areas together: 24+160+60= 244 ft²

(-7/10)=?/10 change to higher terms please help !!

Answers

Answer:

-7

Step-by-step explanation:

you cant change the numerator if you cant change the denominator

Other Questions
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