how would you verify the trigonometric identity 2x = 2sinx cosx

Answers

Answer 1

Step-by-step explanation:

Hi, there!!

I hope you mean sin2x=2sinx . cosx

so, let's begin in a simple way; by adding, alright:

sin2x= sin(x+x) (as 2x=x+x).

now, let's use compound formula for sin,

so, we get:

sin (x+x)= sinx.cosx + cosx. sinx (as sin(A+B)=sin A. cosB + cosA . sinB)

or, sin (x+x)=2sinx.cosx (adding both).

Therefore, sin 2x = 2sinx. cosx.

Hope it helps..

Answer 2

Answer:

Step-by-step explanation:

2x = 2sinx cosx is not an identity.  An identity is "always true," whereas a conditional equation is true only for specific value(s) of the unknown.  Double check to ensure that you have copied down this problem correctly.


Related Questions

Which of the following equations would not be a line when graphed? Explain how you can tell by just looking at the equations.

Answers

Answer:

Step-by-step explanation:

In my opinion, I beleive it's y=9 becasue the rest of the equations have x in them. bth, this is me just by looking at the equation.

it would be y=7/x, because this would actually graph more of a curve. The 2nd and 3rd option both follow the linear equation while the first would be a horizontal line running through y=9

i don’t know how to show that the probability is 3/4 or how to work it out helppp

Answers

Step-by-step explanation:

There are 12 beads.  2 are blue, 1 is green, 3 are purple, and the rest (6) are red.

So there are 9 beads that are purple or red.

The probability is therefore 9/12, which reduces to 3/4.

Answer:

Show all colored beads on the bottom draw a line in the middle and in the top show all red and purple colored beads.

Step-by-step explanation:

Well first we need to work out the number of beads total.

2 blue + 1 green + 3 purple + 6 red = 12

9 purple or red,

9/12

Simplified,

3/4

Show all colored beads on the bottom draw a line in the middle and in the top show all red and purple colored beads.

Which system of equations has only one solution? 4 x + 2 y = 8. Negative 4 x minus 2 y = 3. Negative 5 x + y = 6. 5 x minus y = negative 6. Negative 3 x + 4 y = 2. 3 x minus 4 y = 0. 2 x + 4 y = 6. 3 x minus 4 y = 9.

Answers

Answer:

Following system of equations have exactly one solution:

[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]

Step-by-step explanation:

Given 4 system of equations:

1st  

[tex]4 x + 2 y = 8\\ -4 x -2 y = 3[/tex]

2nd

[tex]-5 x + y = 6\\ 5 x - y = - 6[/tex]

3rd

[tex]- 3 x + 4 y = 2\\ 3 x - 4 y = 0[/tex]

4th

[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]

To find: Which system of equations has only one solution?

Solution:

First of all, let us learn the concept.

Let the equation of lines be:

[tex]a_1x+b_1y+ c_1=0[/tex] and  [tex]a_2x+b_2y+ c_2=0[/tex]

1. No solution:

There exists no solution if:

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]

2. Infinite solutions:

There exist infinitely many solutions if:

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]

3. One solution:

There exists one solution if:

[tex]\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}[/tex]

Now, let us consider the given equations one by one.

1st system of equations:

The ratio is:

[tex]\dfrac{4}{-4} , \dfrac{2}{-2} , \dfrac{8}{3}\\-1 =-1\neq \dfrac{8}{3}[/tex]

So, no solution.

2nd system of equations:

The ratio:

[tex]\dfrac{-5}{5} , \dfrac{-1}{1} , \dfrac{6}{-6}\\-1 =-1=-1[/tex]

So, infinitely many solutions.

3rd system of equations:

[tex]\dfrac{3}{-3} , \dfrac{-4}{4} , \dfrac{0}{2}\\-1 =-1\ne0[/tex]

So, no solution.

4th system of equations:

[tex]\dfrac{2}{3} , \dfrac{4}{-4} , \dfrac{6}{9}\\\dfrac{2}{3} \ne-1[/tex]

Hence, only one solution.

So, the answer is:

Following system of equations have only one solution:

[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]

Answer:

4

Step-by-step explanation:

Suppose you have a triangle, and you want to construct a similar triangle. Which two
transformations will result in a triangle that is similar, but is not congruent?
Rotation and Reflection
Reflection and Translation
Reflection and Dilation
Translation and Rotation

Answers

Answer: C) reflection and dilation

Explanation:

The transformations of translation, reflection and rotation are considered rigid motions. They keep the figure the same size just it has been shifted around in some way. In contrast, a dilation will alter the size to make it larger or smaller depending on what the scale factor is.

Only choice C has "dilation" as part of the answer, so it must be the answer. The other choices are purely rigid motions that will keep the triangle the same size and shape. In other words, the preimage and image are congruent for choices A,B, and D.

What is -6/7 x (-3/8)

Answers

Answer:

9/28

Step-by-step explanation:

−6/7×−3/8and solve

−6 ×−3 OVER 7×8

=18/56

18÷2 OVER 56÷2=9/28 Therefore:

−6/7×−3/8=9/28

Answer:

[tex] \frac{9}{28} [/tex]

Step-by-step explanation:

[tex] - \frac{6}{7 } \times \frac{ - 3}{8} [/tex]

Multiplying two negative equals a positive

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex] \frac{6}{7} \times \frac{3}{8} [/tex]

Reduce the numbers with G.C.F 2

[tex] \frac{3}{7} \times \frac{3}{4} [/tex]

Multiply the fractions

[tex] \frac{3 \times 3}{7 \times 4} [/tex]

[tex] \frac{9}{28} [/tex]

hope this helps...

Good luck on your assignment...

HELP PLEASE I REALLY NEED THE HELP ON THIS.

Answers

for questions 8 and 9, you just need to use a ruler to fine how many inches, centimeters, or millimeters each line segment is. (make sure to properly read the question to see if they’re asking for the measurement in in, cm, or mm.) i won’t be able to give you these measurements because the picture became smaller when you uploaded it, but it shouldn’t be that hard for you!

for question 10, use a ruler to draw and label your own line segment.

on 10a, draw a line segment that is 3 1/4 inches long, then label one end of the segment ‘H’ and one end ‘J’

for 10b, draw a line segment that is 5 7/16 inches long, then label one end of the segment ‘M’ and the other ‘N’.

Select the correct answer from each drop down menu?

Answers

Answer:  Area of Fountain = 147/147.58

               Area of Circular path = 28.26

Step-by-step explanation:

formula for area of circle = pi x r^2

radius of fountain - [tex]\\ \sqrt{47} \\[/tex]

area= 22/7 x 47 (as [tex]\sqrt{47}[/tex] is squared)

=147

radius of circular path - [tex]\sqrt{56}[/tex]

area= 22/7 x 9 ( [tex]\sqrt{56}[/tex] is radius and [tex]\sqrt{47}[/tex] is of the fountain subtract them you'll get 9 )

=28.26

AssAssessment captures blank growth

Answers

What do you mean by this

anyone knows this? thanks

Answers

Answer:

B. 15:1

Step-by-step explanation:

30/2=15/1

45/3=15/1

60/4=15/1

75/5=15/1

Hope this helps ;) ❤❤❤

The correct answer is B

Your class is measuring the heights of plants in different locations in the classroom.
The table gives the heights of each plant over 3 weeks. Use the drop-down menus to
complete each statement below about this data,

Answers

Answer:

First part) measuring each plant at the same time each week

Second part) centimeters and the same

Step-by-step explanation:

Answer:

These heights could have been measured by measuring each plant at the same time each week.

The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.

Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value g(4) plz help quickly

Answers

Answer:

g(4) = -7

Step-by-step explanation:

g(x) = −2x + 1.

Let x=4

g(4) = -2*4 +1

      = -8+1

     = -7

Answer:

[tex]\boxed{g(4) = -7}[/tex]

Step-by-step explanation:

[tex]g(x) = -2x+1[/tex]

Put x = 4

[tex]g(4) = -2(4)+1\\g(4) = -8+1\\g(4) = -7[/tex]

f(x) = 28 + 10x²; solve for f(1) and f(27)

Answers

Answer:

f(x) = 28 + 10x²

For f(1) substitute 1 into f(x)

That's

f(1) = 28 + 10(1)²

= 28 + 10

= 38

f(27) = 28 + 10(27)²

= 28 + 7290

= 7318

Hope this helps you

Which expression can you simplify by combining like terms? 12b2+4ab−3ba−6 17a2−6b2a+4ba−9 5b2−5a2+8a−b 14a2+6ab−3b−3a

Answers

Answer:

12b^2+4ab−3ba−6

Step-by-step explanation:

12b2+4ab−3ba−6

The two middle terms are like terms, the order in which you multiply does not matter ab =ba

12 b^2 +4ab -3ab -6

12 b^2 +ab -6

The correct answer is....

A.) A 12b2+4ab-3ba-6

If the degree and variables of two terms are same, then they are called like terms.

Here, 4ab and -3ab are like terms because both have same variables a and b with degree 1.

By combining like terms we get

In options B, C and D, there are no like terms, So only the expression  we can simplify by combining like terms.

A lot consisting of 50 bulbs is inspected by taking at random 10 bulbs and testing them. If the number of defective bulbs is at most 1, the lot is accepted; otherwise it is rejected. If there are 10 defective bulbs in the lot, what is the probability of accepting the lot?

Answers

Answer:

0.3487

Step-by-step explanation:

The probability of accepting the lot If there are 10 defective bulbs in the lot is;  0.3487

This involves binomial probability distribution which is given by the formula;

P(X = r) = ⁿ[tex]C_{r}[/tex] × [tex]p^{r}[/tex] × [tex]q^{1 - r}[/tex]

We are given;

Number of bulbs taken at random = 10

We are told that if the number of defective bulbs is at most 1, then the lot is accepted.

This means that probability of success is; p = 1/10 = 0.1

q = 1 - p

q = 1 - 0.1

q = 0.9

If there are 10 defective bulbs, then the probability of accepting the lot is;

P(X = 0) = ¹⁰[tex]C_{0}[/tex] × [tex]0.1^{0}[/tex] × [tex]0.9^{10 - 0}[/tex]

P(X = 0) = 0.3487

Read more at; https://brainly.com/question/24239758

3x2 +x=10 what’s the answer?

Answers

Answer:

Step-by-step explanation:

3 × 2 + x = 10

6 + x = 10

x = 10 -6

x = 4

Step-by-step explanation:

so 3 x 2 is 6

6 add x is 6x

6x = 10

divide by 6 or 10 on both sides to get ur answer

hope this helps

i would appreciate it if u could heart my answer and give it 5 stars or maybe even give it brainliest pls i beg u thx !!!!! : )

Given: f(x) = x2, g(x) = x + 6, h(x) = 7
Find f(g[h(x)]).
55
169
26

Answers

Answer:

169

Step-by-step explanation:

f(x) = x^2, g(x) = x + 6, h(x) = 7

f(g[h(x)])

Replace h(x) with 7

f(g(7))

g(7) = 7+6 = 13

Replace g(7) with 13

f(13) = 13^2 = 169

Answer:

169

Step-by-step explanation:

We are asked to find:

f(g[h(x)])

We know that  f(x) = x^2, g(x) = x + 6, and h(x) = 7

Therefore, we can begin by substituting 7 for h(x)

 f(g[h(x)]), h(x)=7

f(g[7])

Now, we must find g(7). We know that g(x) is x+6

g(x)=x+6

We want to find g(7). Plug 7 in for each x.

g(7)=7+6

Add 7 and 6

g(7)=13

Substitute 13 in for g(7)

f(g[7])

f(13)

Finally, find f(13). We know that f(x)=x^2

f(x)=x^2

We want to find f(13). Plug 13 in for each x.

f(13)=13^2

13^2= 13*13= 169

f(13)=169

169

Therefore, f(g[h(x)]) is 169

A rancher has 5,000 feet of fencing available to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal areas. If no fencing is required along the river, find the length of the center partition that will yield the maximum area.

Answers

Answer:

1,000 feet

Step-by-step explanation:

The closer to a square a rectangle is, the greater the area. So the 5,000 feet should be divided into 5 equal sections to create 2 squares with the river making one side.  (Like the letter "E").

5,000/5=1,000

Lauren bought 6 yellow roses, 10 orange roses, and 12 pink roses to make a bouquet. What is the ratio of the number of yellow roses to the total number of roses in Lauren’s bouquet? A. 6 : 10 B. 6 : 12 C. 6 : 2 D. 6 : 28

Answers

Answer:

facil es la D

Step-by-step explanation:

10+6+12 igual a 28

y nada mas ahi que decir el numero de rosas amarillas que es este caso son

6

Respuesta 6:28

Answer:

D. 6:28

Step-by-step explanation:

The total number of flower in bouquet is

=6+10+12

=28

The ratio of number of yellow roses to the total number of roses is 6:28

What is the measure of the angle between the minute and the hour hands, when they show 4:20 PM?

Answers

Answer:

Won't they be on the same place, so 360° i think

Answer:

10 degrees

Step-by-step explanation:

Simplify 27^2. _______ a0 Simplify 13^2. _______ a0

Answers

Answer:

Step-by-step explanation:

27^2 = 729

13^2 =169

Answer:

1) [tex]\boxed{729}[/tex]

2) [tex]\boxed{169}[/tex]

Step-by-step explanation:

1) 27²

This means 27 is being multiplied 2 times.

So,

=> 27*27

=> 729

2) 13²

This means 13 is being multiplied 2 times

So,

13*13

=> 169

The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity at t = 8 by finding the derivative. 20 POINTS

Answers

Answer:   -3

Work Shown:

s(t) = -9 - 3t

s ' (t) = -3 ... apply the derivative

The position function is linear, so the derivative is constant. The slope of any straight line is the same regardless of where you are on it, so that's why the velocity is a single fixed number. Put another way, the slope of the line is exactly the velocity (since slope = rise/run = change in distance over change in time). It doesn't matter what the value of t is, the velocity will be -3

Answer:

Step-by-step explanation:

i am doing the SAME THING

Graph: y = |x + 2| + 1

Answers

Answer:

[tex]x = y - 3 [/tex]

[tex]x = - (y + 1) y \geqslant 1[/tex]

Hope this is correct and helpful

Step-by-step explanation:

I suppose that this is the graph

HAVE A GOOD DAY!

Find the median of the data in the dot plot below.

Answers

5 is the medium!!!

Explanation: the easiest way to find the medium is by one by one crossing out both sides till you get to the last standing middle number. Which in this case is 5
HOPE THIS HELPED

Please help with step by step. Thank you

Answers

Answer:

SU = 2PX = 6 2/3

Step-by-step explanation:

The product of distances to the circle along a secant is the same for all secants intersecting a given point.

a. Secants SW and QT intersect at U. Thus ...

  (UT)(UQ) = (US)(UW)

  (1.5)(4) = (SU)(3)

  SU = (4)(1.5)/3

  SU = 2

__

b. Secants PT and PX intersect at P. Thus ...

  (PQ)(PT) = (PR)(PX)

  PX = (PQ)(PT)/PR) = (2.5)(2.5 +4 +1.5)/3 = 20/3

  PX = 6 2/3

20 – 2p>-2(p + 2) + 4p

Answers

Answer:

i just kinda need points rn

Step-by-step explanation:

Answer:

p<6

Step-by-step explanation:

Step 1: write it out: 20-2p>-2(p+2)+4p

Step 2: use distributive property: 20-2p>-2p-4+4p

Step 3: combine like terms: 20-2p>2p-4

Step 4: add 2p to both sides: 20>4p-4

Step 5: add 4 to both sides: 24>4p

Step 6: divide both sides by 4: 6>p or p<6

is 5.39 rational or irrational

Answers

Answer:

rational

Step-by-step explanation:

rational because it doesn't repeat

irrational: 5.399999

Rational: 5.39

:)

Plz help me x+y=5 y=3+x

Answers

Answer:

2x+2y+8

Step-by-step explanation:

just combine like terms I think.

x+y=5 y=3+x

x+x =2x

y+y =2y

5+3=8

hope it helps <33

Write the following decimals as fractions.

Show work for each and every question below.

Answers

Answer:

5a) 0.2823=2823/10000

5b) 0.5474=2737/5000

6a)0.3484=871/2500

6b) 0.5=1/2

7a) 0.11=11/100

7b) 0.1224=153/1250

Step-by-step explanation:

Please help i will give brainliest for correct answers!​

Answers

Answer:b

Step-by-step explanation

What is the volume of the following rectangular prism?

Answers

Answer:

Step-by-step explanation:

The formula is V= w h l

So it’s be V= 16 1/4 x 1/2

V= 16.25 x .50

V= 8.125

V=8

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