there is a picture. please help!!!!​

Answer:

Cos(θ) = 8 / 17

Step-by-step explanation:

Cos = Adjacent / Hypotenuse

Side that is adjacent to θ = 8

hypotenuse of the triangle = 17

Cos(θ) = 8 / 17

Hope this helps!

Answer:

The solutions are the following:

hope this helps!! :) --Siveth

Answer:

okie we will try our best

sin

(

2

θ

)

=

2

(

3

5

)

(

−

4

5

)

=

−

24

25

Write the double-angle formula for cosine.

\displaystyle \cos \left(2\theta \right)={\cos }^{2}\theta -{\sin }^{2}\thetacos(2θ)=cos

​2

​​ θ−sin

​2

​​ θ

Again, substitute the values of the sine and cosine into the equation, and simplify.

)Answer:

In the previous section, we used addition and subtraction formulas for trigonometric functions. Now, we take another look at those same formulas. The double-angle formulas are a special case of the sum formulas, where \displaystyle \alpha =\betaα=β. Deriving the double-angle formula for sine begins with the sum formula,

\displaystyle \sin \left(\alpha +\beta \right)=\sin \alpha \cos \beta +\cos \alpha \sin \betasin(α+β)=sinαcosβ+cosαsinβ

If we let \displaystyle \alpha =\beta =\thetaα=β=θ, then we have

Deriving the double-angle for cosine gives us three options. First, starting from the sum formula, \displaystyle \cos \left(\alpha +\beta \right)=\cos \alpha \cos \beta -\sin \alpha \sin \betacos(α+β)=cosαcosβ−sinαsinβ, and letting \displaystyle \alpha =\beta =\thetaα=β=θ, we have

Using the Pythagorean properties, we can expand this double-angle formula for cosine and get two more interpretations. The first one is:

Similarly, to derive the double-angle formula for tangent, replacing \displaystyle \alpha =\beta =\thetaα=β=θ in the sum formula gives

\displaystyle \begin{array}{c}\tan \left(\alpha +\beta \right)=\frac{\tan \alpha +\tan \beta }{1-\tan \alpha \tan \beta }\\ \tan \left(\theta +\theta \right)=\frac{\tan \theta +\tan \theta }{1-\tan \theta \tan \theta }\\ \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }\end{array}

​tan(α+β)=

​1−tanαtanβ

​

​tanα+tanβ

​​

​tan(θ+θ)=

​1−tanθtanθ

​

​tanθ+tanθ

​​

​tan(2θ)=

​1−tan

​2

​​ θ

​

​2tanθ

​​

​​

A GENERAL NOTE: DOUBLE-ANGLE FORMULAS

The double-angle formulas are summarized as follows:

\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ

\displaystyle \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }tan(2θ)=

​1−tan

​2

​​ θ

​

​2tanθ

​​

HOW TO: GIVEN THE TANGENT OF AN ANGLE AND THE QUADRANT IN WHICH IT IS LOCATED, USE THE DOUBLE-ANGLE FORMULAS TO FIND THE EXACT VALUE.

Draw a triangle to reflect the given information.

Determine the correct double-angle formula.

Substitute values into the formula based on the triangle.

Simplify.

EXAMPLE 1: USING A DOUBLE-ANGLE FORMULA TO FIND THE EXACT VALUE INVOLVING TANGENT

Given that

and \displaystyle \thetaθ is in quadrant II, find the following:

\displaystyle \sin \left(2\theta \right)sin(2θ)

\displaystyle \cos \left(2\theta \right)cos(2θ)

\displaystyle \tan \left(2\theta \right)tan(2θ)

SOLUTION

If we draw a triangle to reflect the information given, we can find the values needed to solve the problems on the image. We are given \displaystyle \tan \theta =-\frac{3}{4}tanθ=−

​4

​

​3

​​ , such that \displaystyle \thetaθ is in quadrant II. The tangent of an angle is equal to the opposite side over the adjacent side, and because \displaystyle \thetaθ is in the second quadrant, the adjacent side is on the x-axis and is negative. Use the Pythagorean Theorem to find the length of the hypotenuse:

Now we can draw a triangle similar to the one shown in Figure 2.

Diagram of a triangle in the x,y-plane. The vertices are at the origin, (-4,0), and (-4,3). The angle at the origin is theta. The angle formed by the side (-4,3) to (-4,0) forms a right angle with the x axis. The hypotenuse across from the right angle is length 5.

Figure 2

Let’s begin by writing the double-angle formula for sine.

\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ

We see that we to need to find \displaystyle \sin \thetasinθ and \displaystyle \cos \thetacosθ. Based on Figure 2, we see that the hypotenuse equals 5, so \displaystyle \sin \theta =\frac{3}{5}sinθ=

. Substitute these values into the equation, and simplify.

Thus,

​​

Solution

EXAMPLE 2: USING THE DOUBLE-ANGLE FORMULA FOR COSINE WITHOUT EXACT VALUES

Use the double-angle formula for cosine to write \displaystyle \cos \left(6x\right)cos(6x) in terms of \displaystyle \cos \left(3x\right)cos(3x).

SOLUTION

c

Analysis of the Solution

This example illustrates that we can use the double-angle formula without having exact values. It emphasizes that the pattern is what we need to remember and that identities are true for all values in the domain of the trigonometric function.

Using Double-Angle Formulas to Verify Identities

Establishing identities using the double-angle formulas is performed using the same steps we used to derive the sum and difference formulas. Choose the more complicated side of the equation and rewrite it until it matches the other side.

EXAMPLE 3: USING THE DOUBLE-ANGLE FORMULAS TO ESTABLISH AN IDENTITY

Establish the following identity using double-angle formulas:

\displaystyle 1+\sin \left(2\theta \right)={\left(\sin \theta +\cos \theta \right)}^{2}1+sin(2θ)=(sinθ+cosθ)

​2

​​

θ

)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

right on plato

Answer:

The hypotenuse. Since it is the opposite of the right angle

The largest number is the hypotenuse

therefore, 15 is the answer.

Answer:

c

Step-by-step explanation:

The hypotenuse. Since it is the opposite of the right angle

The largest number is the hypotenuse

therefore, 15 is the answer.

Answer:

Either B or C.

Step-by-step explanation:

Sorry if that is not very helpful. I would do C but I am not 100% sure. so sorry.

Answer:

[tex]\frac{5}{36}[/tex]

Step-by-step explanation:

probability of desired outcome:

Number of desired outcomes/number of total outcomes

To find the numerator just count the number of times the condition is satisfied

I get 5

1,5

2,4

3,3

4,2

5,1

The number of total outcomes is just 6² or 36

So the final answer is just 5/36

Answer:

b 112.80

Step-by-step explanation:

took test on edge

The interest that accrues on the initial down payment at 30% interest rate is  $408 .

The term interest refers to money that accrues on a principal sum. It is commonly employed in the parlance of borrowing money.

Since it is a compound interest;

A = P(1 + r/n)^nt

Where;

A = amount

P = principal

r = rate

n = number of times compounded per year

t = total time taken

A = 120(1 + 0.025)^12 × 5

A = $528

A = P + I

I = A - P

I = $528  - $120

I = $408

Learn more about compound interest: https://brainly.com/question/25857212

Answer:

C. 531,441

Step-by-step explanation:

You take the largest possible value and put it to the power of how many numbers there are. In this case 9^6. Hope this helps.

1000000

Step-by-step explanation:

son mil ovhomil

Answer:

6:15

Step-by-step explanation:

Boys : Girls

6    :   15

Answer:

The scale factor is the ratio of corresponding sides:

The area is the product of two dimensions so the ratio of areas is:

The area of ΔDEF:

Answer:

33,700m2 Land area: Singapore Flyer stands on 33,700m2 or 363,000 ft2 – an area that will fit 172 tennis courts or 1,120 parking lots. 471 meters is the real answer to the problem

Step-by-step explanation:

Plz brainlist

Answer:

0.8 inches

Step-by-step explanation:

< R = 180-23-22 = 135°

the length of s = 1.5 × sin 23° / sin 135°

= 1.5 × 0.391 / 0.707 = 0.5865/0.707

= 0.8 inches

Answer:

Dependent

Explanation:

All of the birthdays being in summer depends on the birthdays of each person.

Answer:

5x4x2

Step-by-step explanation:

The total area of the figure id 35 square cm.

The amount of space taken up by a two dimensional space is called area.

The formula for the area of a triangle is

[tex]A = \frac{1}{2} (b)(h)[/tex]

Where,

A is the area of triangle.

b is the base of a triangle.

h is the height of the triangle.

The formula for the area of square is

[tex]Area = a^{2}[/tex]

Where,

a is the side length of square.

According to the given question.

A triangle is resting on a square.

Side length of square, a = 5cm

So, the area of square = [tex]5^{2} = 25 square cm[/tex]

Also, a triangle with height 4cm.

Since, the triangle is resting on a square.

⇒ Base length of the triangle = 5cm

So, the area of triangle = [tex]\frac{1}{2} (5)(4)= 10 square cm[/tex]

Therefore,

The total area of the given figure  = Area of square + Area of triangle

⇒ Total area of figure = (25 + 10) square cm

⇒ Total area of figure = 35 square cm

Hence, the total area of the figure id 35 square cm.

Find out more information about area of triangle and square here:

https://brainly.com/question/11952845

#SPJ3

Answer:

$2.16

Step-by-step explanation:

150 * 4 = 600watt-hours

600 = 0.6kilowatt-hours

0.6 * 30 = 18kilowatt-hours

18 * 0.12 = $2.16

Step-by-step explanation:

each week kyle saves $5.00

Answer:

A=38.88 or 38.9

Step-by-step explanation:

If both are similar then the 9 and the 7.2 are the same

9-7.2= 1.8

9x6=54

7.2-1.8=5.4

7.2x5.4=38.88 or 38.9

Answer:

you have a chance of having a baby...

Answer:

chance of relief stress and having a baby

Step-by-step explanation:

hope it helps you

Answer:

3603600

Step-by-step explanation:

I used my calculator

Answer:

1. Not equivalent

2. Not equivalent

3. Equivalent

4. Equivalent

5. Equivalent

Step-by-step explanation:

I will prove the ones that are equivalent, since the ones that aren't are pretty straightforward.

2(3h + 7) = 6h + 14

3. 6h + 7 + 7 = 6h + 14

4. 3h + 3h + 14 = 6h + 14

5. (3h + 7) + (3h + 7) = 6h + 14

Answer:

Is there an image to visualize the field?

Step-by-step explanation:

I would love to help.

Answer:

The opportunity cost of playing an hour of video games is not reading 3 chapters of a book.

Step-by-step explanation:

Given that Anthony can either play 4 hours of video games or read 12 chapters of a book, to determine what is Anthony's opportunity cost of playing one hour of video games, the following calculation must be performed:

4 = 12

1 = X

1 x 12/4 = X

12/4 = X

3 = X

Therefore, the opportunity cost of playing an hour of video games is not reading 3 chapters of a book.

(a) The marginal distribution of X is

Pr(X = x) = ∑ Pr(X = x, Y = y)

… = 0.0625 + 0.0625 + 0.0625 + 0.0625

… = 0.25

That is, the first equality follows from the law of total probability, with the sum taken over y from {0, 5, 10, 15}. Each probability Pr(X = x, Y = y) is given in the table to be 0.0625.

Similarly, the marginal distribution of Y is

Pr(Y = y) = 0.25

(b) Yes, they're independent because

Pr(X = x, Y = y) = 0.0625,

and

Pr(X = x) Pr(Y = y) = 0.25 • 0.25 = 0.0625.

(c) The mean of X is

E[X] = ∑ x Pr(X = x)

… = 0.25 ∑ x

… = 0.25 (0 + 5 + 10 + 15)

… = 7.5

and you would find the same mean for Y,

E[Y] = 7.5

The variance of X is

V[X] = E[X^2] - E[X]^2

… = (∑ x^2 Pr(X = x)) - 7.5^2

… = 0.25 (∑ x^2) - 56.25

… = 0.25 (0^2 + 5^2 + 10^2 + 15^2) - 56.25

… = 31.25

and similarly,

V[Y] = 31.25

(each sum is taken with x and y from {0, 5, 10, 15})

Answer:

[tex]\sin(N) = 0.66[/tex]

Step-by-step explanation:

Given

[tex]\angle P = 90^o[/tex]

[tex]PO = 48; NP = 55; ON = 73[/tex]

Required

[tex]\sin(N)[/tex]

The given parameters is illustrated with the attached image.

From the attached, we have:

[tex]\sin(N) = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin(N) = \frac{PO}{ON}[/tex]

[tex]\sin(N) = \frac{48}{73}[/tex]

[tex]\sin(N) = 0.66[/tex] -- approximated