A student uses the following steps to prove the sine sum identity. The proof is incorrect. Which steps is incorrect

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Answer 2

The incorrect step is Step 4, cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y), the correct option is C.

What is Trigonometric Identity?

Trigonometric Identities are based on the trigonometric ratios used to solve Trigonometric equations.

The steps used to solve the trigonometric identity are :

Step 1 :  sin(x+y)

Step 2: cos ((π/2) - (x+y))

Step 3 : cos ( (π/2 -x) -y)

Step 4 : cos (π/2 -x) cosy + sin (π/2 -x)siny

Step 5: sinxcosy+cosxsiny

Therefore,the correct step is cos (π/2 -x) cosy + sin (π/2 -x)siny  and not cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y) , the incorrect step is Step 4.

The complete question is attached with the answer.

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A Student Uses The Following Steps To Prove The Sine Sum Identity. The Proof Is Incorrect. Which Steps

Related Questions

Write an equation of a line in slope-intercept form that passes through the point (-2, 4) and has a slope of -3. (no spaces in your answer)

Answers

Answer:

y = - 3x - 2

Step-by-step explanation:

Step 1:

y = mx + b     Slope Intercept Form

Step 2:

y = - 3x + b     Input Slope

Step 3:

4 = - 3 ( - 2 ) + b     Input x and y

Step 4:

4 = 6 + b     Multiply

Step 5:

- 2 = b       Subtract 6 on both sides

Answer:

y = - 3x - 2

Hope This Helps :)

The ratio of boys to girls is 4:6 in Mrs. Franklin's class. If there are 36 girls, how many boys are there?​

Answers

Answer:

24

Step-by-step explanation:

Lets say 4 boys to 6 girls if there are 36 girls do 4x6 to figure out the ratio of boys would be 24 boys and 36 girls if the other way around it would be 24 girls and 36 boys

Help out
It is due at 7:00​

Answers

Answer:

I want the free points. Sorry :)

pls look at the picture attached! i need help

Answers

it is 9    aahh it says to short   well 3 times 9 is 27 then minus 17 is less than 13

Answer:

v <= 10

(-infinity, 10]

Step-by-step explanation:

3v - 17 <= 13

+17 +17

3v <= 30

3v/3 30/3

v <= 10

(-infinity, 10]

Helpppppppppppppppppppppppppppppppppppp

Answers

wouldn’t that be like -5,1?

Cameron has 75% as many shirts as her brother. How many shirts does her brother have if Cameron has 9 shirts?

Answers

Answer:

12 t-shirts

Step-by-step explanation:

12 x 75% = 9 = 9 t-shirts

Which of the following is NOT true about Nebuchadnezzar?
He created a code of laws that were very strict.
He created the Hanging Gardens for his wife.
He went insane at the end of his life.
He decorated the city with colored bricks and animal statues.

Answers

Your answer would be C.

He did not go insane

what is the 12
th term rule of the linear sequence 13 7 1 -5 -11​

Answers

Answer:

-53, f(n) = -6(n-1) + 13

Step-by-step explanation:

given the equation to this linear/arithmetic sequence for the nth term: f(n) = -6(n-1) + 13

f(12) = -6(12-1) + 13

f(12) = -6(11) + 13

f(12) = -66 + 13

f(12) = -53

*substitute and simplify*

______________

f(n) = f(1) + d(n-1)

given f(1) = 13, f(2) = 7, and f(3) = 1

7-13 = 1-7 = -6 = d

= f(1) + d(n-1)

f(1) = 13 so

the equation must be f(n) = 13 - 6(n-1) or -6(n-1) + 13

which is a endpoint of a ray​

Answers

Answer:

A is the endpoint ray

Step-by-step explanation:

Point A is the ray's endpoint. One way to think of a ray is a line with one end. A ray starts at a given point and goes off in a certain direction forever, to infinity. The point where the ray starts is called (confusingly) the endpoint.

7th grade math help me plzzzz

Answers

Answer:

B.

Step-by-step explanation:

Answer:

0.05 per ounce

Step-by-step explanation:

5.20 per 40 is 0.13 per ounce

whereas

2.70 per 15 is 0.18 per ounce

Solve two-step equations
2 = 4s + –10 i need it ASAP

Answers

Answer:

s=3

Step-by-step explanation:

Answer:

s=3

Step-by-step explanation:

simplify the equation to the form, which is simple to understand  

and then move all terms containing s to the left and all other terms to the right!

A triangular prism has a base area of 15 square meters. If the volume of the prism is 135 cubic meters, what is the height of the prism? SHOW YOUR WORK. (5 points)

a
3 meters

b
45 meters

c
9 meters

d
27 meters

need done quick

Answers

Answer is C. 9 meters
135/ 15 = 9

Question 1
Manipulate the base area and the height of the pyramid, setting different values for each. Record the base dimensions, height, and the exact
volume for two kinds of pyramids: one with a square base and one with a rectangular base. Also calculate the decimal value of each volume, and
verify that it matches the volume displayed by the tool. (You might see some discrepancies in the tool due to rounding of decimals.)

Answers

Answer:

Step-by-step explanation:

Find all values of k the value of the fraction 11k−15/3 is greater than the value of the fraction 5−2k/4 .

Answers

Answer:

k>3/2

Step-by-step explanation:

To solve this, you need to do fraction cross-multiplying.

So, If a/b=c/d, then a*d=c*b

After you cross-multiply, you get this: (11k-15)*4>3(5-2k)

If you simplify 3(5-2k), you get 15-6k

Then, simplify the next side as well

The full simplified expression should be: 44k-60>15-6k

If you add 60 to both sides, you get 44k>-6k+75

Then add 6k to both sides 50k>75

Then all you have to do is divide both sides by 50 and you get:

K>3/2 OR k>1.5

The random variables X and Y are jointly continuous, with a joint PDF of the form fX,Y(x,y)={cxy,0,if 0≤x≤y≤1,otherwise, where c is a normalizing constant. For x∈[0,0.5] , the conditional PDF fX|Y(x|0.5) is of the form axb . Find a and b .

Answers

Answer:

The value of a and b are 8 and 1 respectively

Step-by-step explanation:

[tex]f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 , \text{otherwise}\end{matrix}\right.[/tex]

[tex]\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1\\\\c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1\\\\\frac{c}{2}\int_{0}^{1}x\left ( 1-y^2\right )\text{dx}=1\\\\\frac{c}{2}\int_{0}^{1}(x-x^3)\text{dx}=1\\\\\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1\\\\\frac{c}{2}\left [ \frac{1}{2}-\frac{1}{4} \right ]=1\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1\\\\c=8[/tex]

Conditional pdf of [tex]f_{x,y}(x|0.5)[/tex]

[tex]f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}[/tex]

Normalizing pdf of 1

[tex]f_{y}y=\int_{0}^{y} 8yx \text{dx}[/tex]

[tex]f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\\f_{y}y=4y(y^2)\\f_{y}y=4y^3\\f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}=\frac{2x}{0.25}=8x[/tex]

We are given that PDF [tex]f_{x|y}(x|0.5)[/tex] is of the form [tex]ax^b[/tex]

So, on comparing 8x with [tex]ax^b[/tex]

So, a = 8 , b = 1

So, the value of a and b are 8 and 1 respectively

The resulting value of a and b given  the conditional PDF of fX|Y(x|0.5) is mathematically given as

a = 8 , b = 1 .

What are the values of a and b?

Question Parameters:

a joint PDF of the form fX,Y(x,y)={cxy,0,if 0≤x≤y≤1,

For x∈[0,0.5]

the conditional PDF fX|Y(x|0.5)

Generally, the equation for the function of (x,y)   is mathematically given as

[tex]f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 ,\end{matrix}\right.[/tex]

Therefore

[tex]\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1[/tex]

[tex]c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1[/tex]

[tex]\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1[/tex]

[tex]\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1[/tex]

C=8

Where, the conditional PDF fX|Y(x|0.5)

[tex]f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}[/tex]

We have

[tex]f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\[/tex]

[tex]f_{y}y=4y^3[/tex]

[tex]f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}[/tex]

f_{x|y}(x|0.5)=8x

In conclusion. with the pdf in the form of ax^2

8x comparing ax^b

The value of a = 8 , b = 1 .

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Please Help ASAP PLEASE !!!!!!!
Which mathematical property is demonstrated?


If y=−7 and −7=z, then y = z.



A. symmetric property of equality



B. closure property of multiplication



C. closure property of addition



D. transitive property of equality

Answers

Answer:

transitive property of equality

Step-by-step explanation:

I know cus i took the test also sorry it took so long dude

Graph the line of the slope of 1/4 and includes the point (0,2)

Answers

Answer:

I'm on Edulastic.com taking a 100 Q test and this question is on it!

Step-by-step explanation:

Imao im fgging confused

The graph of the required line [tex]\bold{y=\frac{x}{4}+2}[/tex] is given below.

Slope point form of equation of line: -

An equation of line with slope m and passing through point (p, q) is:

(y - q) = m × (x - p)

We have been given the slope of the line m = 1/4,

and a point (p, q) = (0, 2)

Using the slope-point form equation of line would be,

⇒ (y - 2) = 1/4 × (x - 0)

⇒ (y - 2) = 1/4(x)    

⇒ y = x/4 + 2                          ...............................(1)

So, the equation of the line is [tex]y=\frac{x}{4} +2[/tex].

To plot the line we need at least  two coordinate points.

We have been given a point (0, 2).

We need to find another point.

Substitute x = -4 in equation (1),

⇒ y = (-4)/4 + 2

⇒ y  = -1 + 2

⇒ y = 1

So, another point on the line would be (-4, 1).

Now, we plot points (0, 2) and (-4, 1) on coordinates plane.

Then the graph of the line [tex]\bold{y=\frac{x}{4}+2 }[/tex] is as shown in figure.

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After how many years will $1,500 you invested now will be worth $3000 if it is compounded monthly at 4% interest?

Answers

4000 be evebababababbabsbsbbs

Is 8(3x+2) and 4(6x÷4) equivalent?

Answers

Answer:

x= - 8/9

Step-by-step explanation:

If u answer this i will give your answer a like and help with anything u need!

Answers

Answer:

0 . 4  =  2 / 5

Step-by-step explanation:

The answer is 0.4= 2/5

Which statement about -8 and
-12 is true?

Answers

Answer:they are both neagtive numbers.

Step-by-step explanation:

they say it right in front of you.

Joe buys lunch at a local cafe for 8.60 if she leaves a 15% tip how much does she spend at the cafe

Answers

Answer:

dhvbhdvhdhddjbd

Step-by-step explanation:

the abbreviation for the constant change in a graph or table?​

Answers

Answer:

ROC

Step-by-step explanation:

ROC. rate of change

On a table or graph, the constant change is same as the unit rate, rate of change or slope, which can be denoted as m.

Constant change on a graph or table simply refers to the rate of change of the output (y) over the change in input (x).

Constant change in a graph or table is the same as the unit rate or the slope value which is dented by the letter m.

Constant rate of change, unite rate, and slope can be denoted as m of a graph or table.

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Please help what Is 4/5 divided by 2

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

2.25 is your answer

Step-by-step explanation:

Damien left his house at time Zero and drove to the store, which is 12 blocks away, at a speed of 6 blocks per minute. then he stopped and went into the store for 5 minutes. from there, he drove in the same direction at speed of 2 blocks per minute until he got to the bank, which is 12 blocks away from the store. he stopped at the bank for 2 minutes. then he drove home at a speed of 6 blocks every minute. make a graph of showing the number of blocks away from home that Damien is x minutes after he leaves his house, until he gets back home.

Answers

Answer:It take her 20 minutes, but I dont know how to graph yet, so I can only tell you that xx=20

TEST
1) ERROR ANALYSIS: Identify and correct the error in describing the transformation of the parent
function.

Answers

Sadly the question is incomplete, so we can not see the described transformation of the parent function, thus we can't see the error in that description.

What we can do is describe the transformation shown here.

Here we can see the parent function:

f(x) = x^2

This function opens upwards, so what we see in the graph is this function reflected across the horizontal axis (the x-axis). So the transformation is just a reflection across the x-axis.

(notice that it passes through (-1, -1) and (1, -1), so there is no dilation nor contraction)

For a general function f(x), a reflection across the x-axis is just:

g(x) = -f(x)

So here the transformed function is:

g(x) = - x^2

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An electrician charges a base fee of $65 plus $50 for each hour of work. The minimum the electrician charges is $165. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of work. Determine the domain and range of the relation in context and explain whether or not this represents a function.
P.S The range values are repeated. So it's a total of 3 range values, and 1 is repeated.

Answers

Is there more information so that I solve?

Domain: hours worked

Domain Values: 1,2,3,4

Range: dollars charged

Range Values: 165, 215, 265

The relation is a function. Each domain value is paired with exactly one range value.

write an equation in slope-intercept form that meets the criteria described slope =3,through (5,2)​

Answers

Answer:

y = 3x - 13

Step-by-step explanation:

Terrell had a chain of 56 paper clips. Some of the paper clips fell off. Now there are 38 paper clips in the chain. How many fell off?

Answers

Answer:

56 - 38 = 18

Step-by-step explanation:

Answer:

18 paper clips

Step-by-step explanation:

56 paperclips originally - x paperclips = 38 paperclips

56 - x = 38

    + x    + x

56      = 38 + x

- 38       - 38

18       =         x  

x = 18

Ali"s dog weighs 8 times more than her cat. Together the animals weigh 54 lbs. How much does Ali's dog weigh?​

Answers

Answer:

48 lbs

Step-by-step explanation:

say that the cat weighs x pounds. then the dog weighs 8x pounds. together they weigh 54 pounds. So our equation is x+8x=54. solve for x to get the cat's weight, and you get x=6. The cat weighs 6 lbs. all I need to do now is multiply 6 by 8 so this the dog weighs 8 times as much as the cat. 8•6=48. the dog weighs 48 pounds.

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