which expression is equivalent to (tan(θ/2))(sin θ)

Which Expression Is Equivalent To (tan(/2))(sin )

Answers

Answer 1

Answer:

B) [tex]-1+cos\theta[/tex]

Step-by-step explanation:

[tex](tan(\frac{\theta}{2}))(-sin\theta)[/tex]

[tex](\frac{1-cos\theta}{sin\theta})(-sin\theta)[/tex]

[tex](\frac{-sin\theta+sin\theta cos\theta}{sin\theta})[/tex]

[tex]-1+cos\theta[/tex]

Therefore, option B is correct

Helpful Tips:

Half-Angle Formula: [tex]tan(\frac{\theta}{2})= \frac{1-cos\theta}{sin\theta}=\frac{sin\theta}{1+cos\theta}=\pm\sqrt{\frac{1+cos\theta}{2}}[/tex]


Related Questions

How do u do these percentages questions

Answers

Answer:

Step-by-step explanation:Determine the initial format of the number to be converted to a percentage. ...

Carry out a mathematical process on the number to be converted to a percentage. ...

Multiply the result of the mathematical process by 100. ...

Find the percentage of the original or real number. ...

Multiply the final number by 100.

Divide: 1/2÷1/10
SHOW WORK

Answers

Answer:

5

Step-by-step explanation:

1/2÷1/10=

1/2x10/1=

10/2=5

Answer:

the answer is 5

Step-by-step explanation:

keep change flip

1/2 x 10 =5

Fill in the blank with the correct factor, dividend, divisor or product to complete the number sentence correctly. ____ divided by 1.5 = (-6)

Answers

Answer:

the answer is negative nine

You can solve this equation easily if you understand that to find the answer you have to do the opposite sign of the question. Multiply 1.5 by -6 and that should give you -9. From there plug in -9/1.5= -6 and you should get -6

18/5=t/4 what does t=

Answers

Answer:

72/5

Step-by-step explanation:

18/5 x4 = t/4 x4

(18x4)/5 = t

t = 72/5

what is 70*77 please help

Answers

Answer: 5390
70*7=5390
Here is why: The result of multiplying 70 with 77 is called the product. Thus, the product of 70 and 77 is as follows:

5390

In other words, we find the product of 70 and 77 by simply calculating 70 times 77 which equals 5390. Pretty easy huh?

If someone asks you, "What is the product of 70 and 77?", your answer will be:

70 x 77 = 5390

To find any product in the future on your own, just remember that the product is the answer you get when you multiply numbers together.

A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021

Answers

The sum of the given series can be found by simplification of the number

of terms in the series.

A is approximately 2020.022

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

[tex]\displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}[/tex]

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

[tex]\displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}[/tex]

Therefore, for the last term we have;

[tex]\displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}[/tex]

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

[tex]\displaystyle \frac{A}{2} = \mathbf{ 1011 \cdot \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460} \right)}[/tex]

[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2} +\frac{1}{2} - \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022} \right)[/tex]

Which gives;

[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2022} \right)[/tex]

[tex]\displaystyle A = 2 \times 1011 \cdot \left(1 - \frac{1}{2022} \right) = \frac{1032231}{511} \approx \mathbf{2020.022}[/tex]

A ≈ 2020.022

Learn more about the sum of a series here:

https://brainly.com/question/190295

A is equal to 1,685.00049.

Given that A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021, the following calculation must be performed to determine the result of this operation:

337/2 = 168.5 1011/10 = 101.1 337/5 = 67.4 1/2021 = 0.00049  1011 + 337 + 168.5 + 101.1 + 67.4 + 0.00049 = A 1685.00049 = A

Therefore, A is equal to 1,685.00049.

Learn more about maths in https://brainly.com/question/25273534

What is the diameter of a circular swimming pool with a radius of 9 feet? Enter only the number

Answers

Answer:d=18FT

Step-by-step explanation:

YOUR WELCOM :)

The diameter is double the radius of the circle. So you would do 9*2 = 18 feet.

The question only asks for the number though so you can just enter 18.

Description of a turn for those who have never done math / for a child​

Answers

Answer:

Step-by-step explanation:

1+1=2

2+2=4

3+3=6

4+4=8

5+5=10

ratio
a. L
b. bozo
d. your life is bad
c. ratio again

Answers

Answer:

d

Step-by-step explanation:

The Answer is d for sure

Question 1
A number, w, is located to the left of 5 on the number line.
Which inequality represents this situation?
A
W> 5
B
w < 5
с
w > -5
D
w < -5

Answers

The answer is c because left side of number line is negative

using guassion elimination metheed x+2y-3y=11,3x+2y+z=1, 2x+y-5z=11

Answers

3y-2y+2y-y+3x-x+2x+z+5z=1+11+11
2y+4x+6z=23

given that a/b = 2/3 and b/c = 3/7 find A:B:C

Answers

Answer:

2:3:7

Step-by-step explanation:

a/b = 2/3

That gives us a clue that a=2 and b=3

But to make sure it states b/c = 3/7

So A:B:C is

2:3:7

Hope this helps!

The athlete drink 16 ounces of water every two hours starting at 7:30 AM and continuing for the next 14 hours. A) how many quarts did the athlete consume? B) how many pints of water did the athlete consume? ​

Answers

Answer:

16x7 = 112 (16 ounces, 7 hours) 112 ounces to pints = 7 pints of water

Step-by-step explanation:

Find the sum of 1/8 and -3/4 . can you please give an explanation would mean very well please

Answers

First, find the least common denominator. In this case it would be 8. If you are multiplying 4 by 2 to get 8, you must also multiply the numerator by 2.
1/8 + -3(2)/4(2)
1/8 + -6/8
Write all numerators above the common denominator.
1-6/8
Calculate.
-5/8

Hope this helps!

Helppppppppppppp helppppppppppppp

Answers

Answer:

Should be the first answer, x=5

Step-by-step explanation:

This would flip the graph and the square would land on top of where it currently is.

A shirt costing $34 is on sale for 30% off. What is the new price of the shirt after the discount?

Answers

Answer:

$23.80

Step-by-step explanation:

30% off means we take 30% off of the original price, or we calculate

(1-30%)=70% of the shirt's price

34*70%=23.8

50pt Which of the following are maximum and minimum points of the function y=sin(x+ π)?

Answers

Answer:

  none of the above

  Maximum (3π/2, 1); Minimum (π/2, -1)

Step-by-step explanation:

The sine function is shifted left 1/2 cycle by the addition of π to x in the argument. That basically inverts the function, so it is equivalent to ...

  y = -sin(x)

This has a minimum of -1 at π/2, and a maximum of +1 at 3π/2. This does not match any of the offered answer choices.

__

You might want to discuss this question with your teacher.

Answer:

The correct answer is C!

Step-by-step explanation:

The dude that said there’s no answer doesn’t know what he’s talking about.

(dy)/(dx) = (x ^ 2)/(1 + y)

Answers

Answer:
Bye, hope this helps you succeed in school!

3. Let Angle ABC be an isosceles triangle with AB = AC. Which of the following describes
LB of the triangle?
A. Exterior Angle
B. Base Angle
C. Vertex Angle
D. Remote Interior Angle

Will mark Brainiest

Answers

Answer:
It’s should be D because
Step by step explanation

he school that Tony goes to is selling tickets to a play. On the first day of ticket sales the school
sold 9 adult tickets and 8 student tickets for a total of $164. The school took in $73 on the second
day by selling 2 adult tickets and 7 student tickets.

What is the price each of one adult ticket?

What is the price each of one student ticket?

Plz explain how to do this

Answers

Answer:

The price of 1 adult ticket is 12 dollars, and the price of a ticket for one student is 7 dollars

Step-by-step explanation:

Make a system of equations for the two days that the play was shown.

Let x = the price of an adult ticket

Let y = the price of a student ticket

For the first day:

9x+8y=164

For the second day:

2x+7y=73

Now, we can solve using the elimination method. Multiply the first equation by 2 and the second equation by 9. Then swap the order of the equations.

18x+63y= 657-18x+16y= 3280x+ 47y= 329divide both sides by 47y = 7Plug in 7 for y for the 2nd equation2x+7(7)=732x+49=73subtract 49 from both sides2x= 24divide both sides by 2x = 12 Check:2(12)+7(7)=7324+49= 73!

Answer: And I don’t know math

Step-by-step explanation:

given 6x+5y=12 find the equation of the line parallel to it passing through (1,10).

Answers

Answer:

y = -6/5x+56/5

Step-by-step explanation:

I have 100 points
i need some help!!

Answers

Answer:

6c+2(5-7c)=6c+10-14c

=10-8c=-8c+10

A. -8c+10 is correct option.

Thanks :)

Elizabeth buys a package of 360 marbles. she gives away 216 of the marbles. what percent of the marbles did Elizabeth give away. SHOW WORK

Answers

Answer:

60%

Step-by-step explanation:

216/360 = 0.6

0.6 *100 = 60

60%

The percent of the marbles did Elizabeth give away is 60%.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Elizabeth buys a package of 360 marbles and she gives away 216 of the marbles.

Now, the percentage is 216/360 ×100

= 0.6×100

= 60%

Therefore, the percent of the marbles Elizabeth give away is 60%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ1

Given ABCD, solve for x.
A. 11
B. 13
C. 14
D. 12

Answers

Answer:

Step-by-step explanation:

Because you have a parallelogram, the two angles shown are "same side interior angles" which means they add up to 180°.

We would say that they are supplementary (they add up to 180°)

So add them together and set them equal to 180°

(4x+18) + (8x+30) = 180°

This is all adding, so we dont really need any of these parenthesis.

4x+18+8x+30=180

Add the x terms together and add the constants (plain numbers) together.

12x + 48 = 180

Subtract 48 from both sides of the equation.

12x = 132

Divide both sides by 12

x = 11

1. The length of each side of a square increased by 40%. By what percent does the area of the square increase?
2. The length of a rectangle increases by 20%, and the width decreases by 20%. What is the overall percent change in the area of the rectangle?

(they are two separate questions)

Answers

Answer: to number 1 :The area of the square increases by 96% to number 2:  increase in width = 50%

Step-by-step explanation

one fifth of sum of two angles is 24 and their diffetence is 14 find the two angles​

Answers

Answer:

Angles are [tex]67^0,53^0[/tex]

Step-by-step explanation:

Let the angles be [tex]x,y[/tex]

One fifth of sum of two angles is 24

[tex]\frac{x+y}{5} =24\\\\x+y=120[/tex]

The  difference is [tex]14[/tex]

[tex]x-y=14[/tex]

[tex]2x=134\\\\x=67^0[/tex]

[tex]y=120-67\\\\=53^0[/tex]

is (2×3)×4=2×(3×4) an example of associative property of multiplication?

Answers

Answer:

Yes.

Step-by-step explanation:

Associative property of multiplication is:

(A×B)×C = A×(B×C).

It says that "The way of grouping of terms doesn't change the product."

So, given example (2×3)×4=2×(3×4) is an example of associative property of multiplication.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

11. m2 = 340 Find m 24 and explain how you know. (2 points)
1
X
3
Drawing not to scale.

Answers

Answer:

Angle 4 also has a measurement of 34 degrees because opposite angles of intersecting lines are congruent. In other words, angles 2 and 4 are congruent, so are angles 1 and 3.

What is the recursive rule for this geometric sequence?

2, 1/2, 1/8, 1/32

Enter your answers in the boxes.

an= __ *an-1

a1=__

Answers

Answer:

an = 1/4 * an-1

a1 = 2

Step-by-step explanation:

2, 1/2, 1/8, 1/32

To find the common ratio, take the second term and divide by the first term

1/2 ÷ 2

1/2 * 1/2

1/4

The common ratio is 1/4

1/2 * 1/4 = 1/8  and 1/8 *1/4 = 1/32

The first term is a1 so a1 = 2

an = the common ratio * an-1

an = 1/4 * an-1

Answer:

Below.

Step-by-step explanation:

The common ratio = 1/2 / 2 =  1/2 * 1/2 = 1/4.

Also 1/8 / 1/2 =2/8 = 1/4 and 1/32 / 1/8 = 1/32 * 8 = 1/4

an = 1/4 * an-1 is the answer.

Help anyone?? Not that hardd
no links ! :(

Answers

Answer:

1.2

Step-by-step explanation:

First, you cancel out [tex]\frac{6}{20}[/tex] to become [tex]\frac{3}{10}[/tex]

Then that becomes [tex]-\frac{3}{10}+1.5[/tex]

Now, you convert the element to a decimal form to be [tex]-0.3+1.5[/tex]

Finally, you subtract them (because a negative plus a positive is subtraction) to get the final answer of 1.2

Hope this helps!

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