which expression is equivalent to (1+cos(x))2(tan(x/2))?

a. sin(x)
b. 1-cos(x)
c. 1-cos2(x)
d. (1+cos(x))(sin(x))​

Answers

Answer 1

Answer:

It's d

Step-by-step explanation:

(1+cos(x))(sin(x))

Answer 2

The trigonometric expression (1+cos(x))2(tan(x/2)) is equivalent to  (1+cos(x))(sin(x))​ option (d) is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

The trigonometric expression is:

= (1+cos(x))²(tan(x/2))

As we know,

1 + cos(x) = 2cos²(x/2)

Use the above trigonometric identity:

= (2cos²(x/2))²(tan(x/2))

= 2 cos⁴(x/2) sin(x/2)/cos(x/2)

= 2 sin(x/2) cos³(x/2)

2sin A cos B = sin2A

Use the above trigonometric identity and after simplification we get:

= (1+cos(x))(sin(x))​

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Thus, the trigonometric expression (1+cos(x))2(tan(x/2)) is equivalent to  (1+cos(x))(sin(x))​ option (d) is correct.

Learn more about trigonometry here:

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Which Expression Is Equivalent To (1+cos(x))2(tan(x/2))?a. Sin(x)b. 1-cos(x)c. 1-cos2(x)d. (1+cos(x))(sin(x))

Related Questions

Kara’s bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is the length of Kara’s room?
A

13 feet


B

25 feet


C

26 feet


D

38 feet

Answers

Answer:

25 feet my guy and u deserve a meme scroll down for it

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

A truck travels 2,400 miles in 60 hours going the same distance each hour. How many miles does the truck travel each hour?

Answers

Answer:

The truck travels 40 miles per hour.

Step-by-step explanation:

[tex] \frac{2400 \: miles}{60 \: hours} = \frac{x}{1 \: hour} \\ \\ \frac{60x}{60} = \frac{2400}{60} \\ \\ x = 40[/tex]


14) When f(x) = x + 3 is transformed to g(x) = f(x) -1, what will be the new
equation?

15) Given: g(x) = f(x) + 5. What is g(x) when f(x) = x - 2?

Answers

Step-by-step explanation:

14) g(x)= x + 3 - 1

= x + 2

15) g(x)= x - 2 + 5

= x + 3

The answer is x + 3

PLZ HELPI DON'T UNDERSTAND THIS ONE.

Sylvia runs a company that produces clothing accessories—hats, patches, scarves, etc.—for events such as a Presidential inauguration. To produce each item costs her $1. She also pays an initial startup cost for production of $100, regardless of the number of products that she produces. She plans to sell each product for $5. How much money would the cost be to produce fifty products? What is Sylvia’s income if she sells fifty products?

Answers

Answer:

250 dollars

Step-by-step explanation:

5x50

Answer:

$50 to produce each and $150 would be her income

Step-by-step explanation:

Find the reference angle of 155o. –25o 25o –65o 65o

Answers

Answer:

The reference angle for 155° is 25°

Step-by-step explanation:

The reference angle is the angle that the angle arm makes with the x-axis be it clock wise or anti-clock wise.

The reference angles are obtained by the following reference

0 - 90° => Angle

90° - 180° => 180 - angle

Our given angle is: 155° so we will use the second rule

The reference angle will be:

180° - 155° = 25°

Hence,

The reference angle for 155° is 25°

12
4
What is the value of x?
O 3/8
O 1
O
8/3
C
8

Answers

Answer:

the value of x is 48

Step-by-step explanation:

because if x=12 and y=4 than you have to do this:

-) (x+y) x/y

(12+4) times 12/4

4/6 times 2/41

than it equals 48

this took me so long ;-;

The measure of the vertex angle of an isosceles triangle is 20 less than twice the measure of each base angle. Find the measure of the vertex angle

Answers

Answer:

80

Step-by-step explanation:

Remark

Every triangle has a measure of 180 degrees.

Equation

Let the base angle = x

x + x + 2x-20 = 180

Solution

4x - 20 = 180

4x = 180 + 20

4x = 200

x = 50

Conclusion

Base angle 1 = 50

Base angle 2 = 50

Vertex angle = 2*50 - 20

Vertex angle = 100 - 20

Vertex angle = 80

what is 5 1/3 - 3 5/6 I keep getting the wrong answer and I need the answer as a fraction

Answers

Answer:

3/2

Step-by-step explanation:

If you wanted whole number, it would be 1 1/2, but you said as a fraction, so that would be 3/2

Max built a rectangular Prism and a rectangular Pyramid using beach sand. The prism and the pyramid have the same base area and the same height. The amount of sand Max used to build the Prism is how many times the amount used to build the Pyramid?

Answers

Answer:

Three times

Step-by-step explanation:

Given

Figures: Rectangular Prism and Rectangular Pyramid

Let the dimension of the prism be:

[tex]l = length[/tex]

[tex]w = width[/tex]

[tex]h = height[/tex]

Amount of sand used is the volume (V1) and it is calculated using;

[tex]V_1 = l * w * h[/tex]

[tex]V_1 = lw h[/tex]

Since the pyramid has the same base area and height as the prism, the its dimension would be:

[tex]l = length[/tex]

[tex]w = width[/tex]

[tex]h = height[/tex]

Amount of sand used is the volume (V2) and it is calculated using;

[tex]V_2 = \frac{1}{3}*(lwh)[/tex]

So, we have:

[tex]V_1 = lw h[/tex]

[tex]V_2 = \frac{1}{3}*(lwh)[/tex]

Substitute lwh for V1 in the second equation

[tex]V_2 = \frac{1}{3}V_1[/tex]

Multiply both sides by 3

[tex]3 * V_2 = \frac{1}{3}V_1 * 3[/tex]

[tex]3 * V_2 = V_1[/tex]

Reorder

[tex]V_1 = 3 * V_2[/tex]

[tex]V_1 = 3 V_2[/tex]

Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid

a school population of 1200 increases by 6% per year what will the population be after 4 years

Answers

Answer:

Step-by-step explanation:

1200x6%(.06)=72

72x4=288

1200+288=1488

1200+72=1272+72=1344+72=1416+72=1488

You can use many methods, I like to use the multiplier method for these questions. 6% = 0.06. Because it increase you add it to 1, if it decreased you’d subtract from 1. So 1200 x 1.06^ 4 (to the power of 4). 1514.972352. But because you can’t half a decimal of a person you’d round it to the next whole number so 1515.

brainliest for correct answer A triangle has interior angle measures 28 and 32, please find the 3rd interior angle and two exterior angles.

Answers

Answer:

120

Step-by-step explanation:

All the angles should add up to equal 180 so,

28 + 32 + ? = 180

60 + ? = 180

180 - 60 = 120

A box of 14 raisins cost $2.94 while a box of 12 sunflower seed bags cost $2.40.

Which one is the better deal, based on the unit price?

Answers

Answer:

the sunflower seeds are a better deal when comparing unit price. The real question is why are we comparing raisins to sunflower seeds?

Step-by-step explanation:

14 raisins costs $2.94

This is $0.21 per raisin.

12 sunflower seed bags costs $2.40

That's $0.20 per bag.

Please Help me!!
I need this ASAP!!

Answers

Answer:

Step-by-step explanation:

let smaller be x

larger number is x+5

4x-3(x+5)=29

4x-3x-15=29

x=29+15=44

x=44

larger number is 49

Myra can spend no more than $150 on office supplies. Paper costs $2.50 a pack and shipping is $10.

Use x to represent paper, write an inequality to model the situation

Answers

Answer:

150[tex]\geq[/tex] 2.50x + 10

Step-by-step explanation:

It's 10 dollars for shipping. Then it is 2.50 times the amount of paper she chooses to by but it cannot be more 150.

Write the simplest polynomial function for each set of zeros

Zeros = 2,-2, 4, 1


PLEASEEEEE HELPPPPPPPPPP

Answers

9514 1404 393

Answer:

  p(x) = x^4 -5x^3 +20x -16

Step-by-step explanation:

If 'a' is a zero of the polynomial, then (x -a) will be a factor. For the given zeros, the simplest polynomial will be the product of the corresponding factors:

  p(x) = (x -2)(x +2)(x -4)(x -1) . . . . . . note that x -(-2) = x +2 (factored form)

__

Multiplying these out gives the result in standard form.

The product of the first two factors is a "special product" recognizable as the difference of two squares.

  (x -2)(x +2) = x^2 -2^2 = x^2 -4

The product of the last two factors can be found in the usual way. The distributive property applies.

  (x -4)(x -1) = x(x -1) -4(x -1)

  = x^2 -x -4x +4 = x^2 -5x +4

Then the full polynomial is the product of these partial products:

  p(x) = (x^2 -4)(x^2 -5x +4)

  = x^2(x^2 -5x +4) -4(x^2 -5x +4)

  = x^4 -5x^3 +4x^2 -4x^2 +20x -16

  p(x) = x^4 -5x^3 +20x -16 . . . . . . . . standard form

Suppose 3 is a root of the quadratic equation ax² – 2x – 21 = 0. Find the value of a and hence find the other
root of the equation.​

Answers

Answer:

a = 3

the other root = -7/3

Please help me out!!!!!!!

Answers

Answer:

Is a 0

Step-by-step explanation:

can anyone help me answer this?!?!

Answers

Answer:

if ∠PQR ≅ ∠STU, then ∠STU ≅ ∠PQR

We conclude that  'Symmetric Property of Angle Congruence' illustrates this statement.

Step-by-step explanation:

We know that the Symmetric Property of Angle Congruence can be defined as

For any angles X and Y, if ∠X≅∠Y , then ∠Y≅∠X

For example, Let suppose

m∠X = 20m∠Y = 20

As ∠X≅∠Y i.e. 20 ≅ 20

then

∠Y≅∠X i.e. 20 ≅ 20

Given

if ∠PQR ≅ ∠STU, then ∠STU ≅ ∠PQR

Thus, we conclude from the above discussion that 'Symmetric Property of Angle Congruence' illustrates this statement.

CAN SOMEONE HELP WITH THIS ASAP

Answers

Answer:

When x=1/2, y=28/3

when x =0, y=9

Equation is y=2/3 x + 9

Step-by-step explanation:

First lets convert them to fractions to make it easier. Also put them in order.

X                     Y

0

1/2  

3/4                  19/2

1                      29/3

6/5                 49/5

You can find the slope since we know 2 points.

(3/4, 19/2) and (6/5, 49/5)

m=3/10 / 9/20

m=2/3

y=2/3 x + b

Lets plug in x and y points to find the y-int

19/2=2/3(3/4) + b

b=9

Therefore y=2/3 x + 9

When x=1/2, y=28/3

when x =0, y=9

jeremy ran 4 more miles then twice of kate, k, ran. which expression can be used to represent the situation

Answers

Answer:

2k+4

Step-by-step explanation:

Jeremy ran

2k+4

Solution :

Jeremy ran 4 more miles than twice of Kate.

Given, distance covered by Kate = k

Let distance covered by Jeremy = x

According to Question :

Distance covered by Jeremy = 4 + 2 × distance covered by Kate

Hence, x = 4 + 2k

Therefore, expression used to represent situation is :

x = 4 + 2k

g(x)=−4x+5, find g(5)g(5).

Answers

Answer:

— g(5)=18

Step-by-step explanation:

x=5 into g(x). g(5)=(4×5)−2=20−2=18.

the function c = 100+0.30m represents the cost c (in dollars) of renting a car after m miles

A. Identify the independent and dependent variables.
B. What would the cost be to rent the car and drive 100 miles.
C. How many miles would a customer have to drive for the cost to be $149.50?​

Answers

Answer:

IT IS 200

Step-by-step explanation:

**DUE IN LIKE 10 MINUTES PLEASE HELP!**
Mary bought 6 bracelets that cost the same amount and one necklace which cost $86. The items she bought totaled $254 before sales tax was added. What was the cost of each bracelet?
A) $14
B) $56
C) $42
D) $28

Answers

1 necklace will therefore cost 34/4 = $8.5

Step-by-step explanation:

She spent between $39 and $59. let us find the average of the amount she spent = 39+59 / 2 = $49.

At an average, she spent $49.

The price of a bracelet is $5 and each bracelet costs the same amount and she bought 3 bracelets = $5 x 3 bracelets each = $15... She spent $15 on the bracelets.

Thus $49 - $15 = amount spent on the 4 necklaces = $34.

4 necklaces cost $34, 1 necklace will therefore cost 34/4 = $8.5

Answer:

Step-by-step explanation:

6x+86=254

subtract  86 from both sides 6x=168

divide both sides by 6 x=28

Please help and you will get brainliest!!

Answers

ANSWER:
9(3y + 7) - 2 = 3(9y + 9) has no solution.

2x + 28 = 40 and and 2(x + 14) = 40 have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.

Answers

Answer:

yes they are the same

Step-by-step explanation:

2x + 28 =40

you subtract 28 from both sides

2x + 28 - 28 = 40 - 28

2x=12

divide 12 by 2 and get 6

2(6)=12

2(x + 14)= 40

So, 2(x) + 2(14)

2x + 28 = 40

So they're both the same, just with 2 different ways to solve the same equation...Hope this helps!!

The solution for 2x + 28 = 40 is 6.

The solution for 2(x + 14) = 40 is 6.

Yes, they have the same solution.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

2x + 28 = 40

Solve for x.

2x = 40 - 28

2x = 12

x = 6

2(x + 14) = 40

Solve for x.

2x + 28 = 40

2x = 40 - 28

2x = 12

x = 6

Thus,

The solution for both equations is the same.

Learn more about solutions to equations here:

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I still can't afford to fail this semester. The question is in the picture

Answers

Answer:

y=1/3x+7/3

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

m=(y2-y1)/(x2-x1)

m=(3-1)/(2-(-4))

m=2/(2+4)

m=2/6

simplify

m=1/3

y=1/3x+b

y-y1=m(x-x1)

y-1=1/3(x-(-4))

y-1=1/3(x+4)

y-1=1/3x+4/3

y=1/3x+4/3+1

y=1/3x+4/3+3/3

y=1/3x+7/3

the general equation of the line is x-3y+7=0

Jody has 3 red marbles, 7 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles? A. 3:19 B. 3:7 C. 7:3 D. 19:3

Answers

Answer:

B. 3:7

Step-by-step explanation:

hope it helps u :)

Answer:

well for me I think

Step-by-step explanation:

it's 3:7

hope it's helpful

Traduisez l’énoncé suivant en utilisant le symbole d’inégalité approprié.

1) x dépasse 8 ? : _____

Answers

Answer:

Je ne parle pas francais

Step-by-step explanation:

Pardon

Lucia is making a 21.6 centimeter beaded string to hang in the window. She decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters. How many green beads will she need?

Answers

Answer: 54 green beads

Step-by-step explanation:

From the question, we are informed that Lucia is making a 21.6 centimeter beaded string to hang in the window and that she decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters.

The number of green beads that she will need will be gotten by dividing the total length of bead she wants to make by 0.4. This will be:

= 21.6 / 0.4

= 54 green beads

(6a+42)+(8a+72)=?
.
. ​

Answers

Answer:

14a+114

Step-by-step explanation:

Answer:

14a+114

Step-by-step explanation:

Since everything is addition you can ignore the parenthesis. So you have 6a+42+8a+72. Now you add the like terms, (6a+8a)+(42+72)=14a+114. Which is your answer!

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