sin(a-30)-sin(a+30)=-coss​

Answers

Answer 1

Answer:

We know that:

Sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

Then if we use this property in our expression:

sin(a-30)-sin(a+30)

We get:

sin(a)*cos(-30°) + sin(-30°)*cos(a) - sin(a)*cos(30°) - sin(30°)*cos(a)

Now remember that:

sin(-x) = -sin(x)

and

cos(-x) = cos(x)

Then we can rewrite our expression as:

sin(a)*cos(30°) - sin(30°)*cos(a) - sin(a)*cos(30°) - sin(30°)*cos(a)

= -2*sin(30°)*cos(a)

and sin(30°) = 0.5

Then:

-2*sin(30°)*cos(a) = -2*0.5*cos(a) = -cos(a)

So we get:

sin(a-30)-sin(a+30)= - cos(a)


Related Questions

Find the solutions of :
-3X + 2 2 14
Give 5 solutions

Answers

Answer:

-3(x - 738)

Step-by-step explanation:

-3x+2214

-3x+3 . 738

-3(x-738)

on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye

Answers

Answer:

43/30

Step-by-step explanation:

Answer:

1 13/30

Step-by-step explanation:

6 & 5 have a Lcm of 30, so lets use that for our denominator so we can add.

5/6 + 3/5 = 25/30 + 18/30

=

43/30 which is equal to 1 13/30.

help me pls thxxxxxxxxxx

Answers

Answer:

brooklyn

Step-by-step explanation:if ur brooklyn do it ur self plese and ty -niki minaj

Find the median and mean of the data set below: 40,45,7,21,31 40,45,7,21,31

Answers

Answer:

mean=28.8

median=31

Step-by-step explanation:

mean=sum of all values/number of all values

mean=40+45+7+21+31+40+45+7+21+31/10

  =288/10

mean=28.8

Median

arrrange in order

7,7,21,21,31,31,40,40,45,45  

in case of even ungrouped data median is the average of middle two values

  = (31+31)/2

     median =31

Please be correct, HELP ASAP!!!!

Answers

[tex] \displaystyle \: x_{ \text{lesser}}= - 18.16\\ x _{ \text{greater}} = - 11.84[/tex]

Step-by-step explanation:

we are given a equation

we want to figure out x

add 10 to both sides:

[tex] \displaystyle \: (x + 15 {)}^{2} = 10[/tex]

square root both sides:

remember that,

[tex] \displaystyle \: a = \pm \sqrt{b} [/tex]

by that

[tex] \displaystyle \: x + 15 = \pm\sqrt{10} [/tex]

cancel 15 from both sides:

[tex] \displaystyle \: x = \pm\sqrt{10} - 15[/tex]

so

[tex] \displaystyle \: x_{ \text{lesser}}= - 18.16\\ x _{ \text{greater}} = - 11.84[/tex]

Which fraction is the product of 8/7 x 9/10?

Answers

Answer:

[tex] \frac{8}{7} \times \frac{9}{10} \\ = \frac{8 \times 9}{7 \times 10} \\ = \frac{72}{70} \\ = 1.02[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Combine like terms:
7x + 3x + 4y - X+.5y

Answers

Answer:

9x + 4.5y if .5y is a decimal point, 9x + 9y if the dot is a typo

Step-by-step explanation:

If the dot is real,

7x + 3x + 4y - x + 0.5y

10x + 4y - x + 0.5y

10x - x + 4y + 0.5y

9x + 4.5y

If the dot is a typo,

7x + 3y + 4x - x + 5y

10x + 4y - x + 5y

10x - x + 4y + 5y

9x + 9y

Answer:

the answer is 9x + 9y

7x + 3x + 4y - x + 5y

7x + 3x - x + 4y + 5y

10x - x + 4y + 5y

9x + 9y

How many inches is in 5 1/4 feet

Answers

Answer:

63 in.

Step-by-step explanation:

Answer:

There is 63 inches in 5 1/4 feet :)

от
Background
14/15 -
Wesley walked 11 miles in 4
hours.
If he walked the same distance every hour,
how far did he walk in one hour?
Write your answer:
a. Using only miles
b. Using a whole number of miles and a whole number of feet

Answers

Answer:

2.75 miles, 14520 feet

Step-by-step explanation:

11 miles/4=2.75

1 mile=5280 feet

2.75 miles=14520 feet

Find perimeter pt4 brainliest

Answers

Perimeter= X + Y + W. Perimeter is the sum of all sides

On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 3% interest, compounded continuously. Determine the balance in this account on the child's 24th birthday.

Answers

Answer:

3/100 × 30000 is the answer to your question.

Please I need help on Tis question

Answers

Answer:

Step-by-step explanation:

The answer is D, the function approaches 1 as x approaches +- infinity. We can divide each term by x^2. We will get the following:

[tex]\frac{1-4/x^2}{1-9/x^2}[/tex]

as x goes to infinity, the -4/x^2 and -9/x^2 go to 0. To the equation just becomes 1/1. So the answer is 1.

If the price of onions is $8 per pound, how much would 4.7
pounds of onions cost?

Answers

Answer:

37.6 dollars

Step-by-step explanation:

4 pounds = 32 dollars

0.2 pound = 1.6 dollars

0.5 = 4 dollars

0.1 = 0.8 dollars

2. Half of Robert's piece of wire is equal to of Maria's wire. The total length of their wires is 10 feet. How much longer is Robert's wire than Maria's?

Answers

Step-by-step explanation:

Given that,

Half of Robert's piece of wire is equal to of Maria's wire i.e.

[tex]\dfrac{R}{2}=M[/tex] ....(1)

Total length of the wires = 10 feet

ATQ,

[tex]R+M=10[/tex] ....(2)

Use equation (1) in (2).

[tex]R+\dfrac{R}{2}=10\\\\\dfrac{3R}{2}=10\\\\R=\dfrac{20}{3}\\\\R=6.67\ ft[/tex]

So,

[tex]M=\dfrac{6.67}{2}\\\\M=3.33\ ft[/tex]

Hence, this is the required solution.

For the diagram below ,The Value of q , r is

Answers

Answer:

angle r= 45°

angle r+angle q=180°

45°+ angle q=180°[linear pair]

angle q=180°- 45°

angle q= 135°

HELP PLEASE !!!!!!!!!!

Answers

Answer:

cccccccc

Step-by-step explanation:

The anwser is c cause if you do adgibra carry the 3 divide by 1 c is your anwser you welcome

Which statements are true about the expression that y +92 Choose ALL that apply.

Answers

I u⁣⁣⁣ploaded t⁣⁣⁣he a⁣⁣⁣nswer t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. H⁣⁣⁣ere's l⁣⁣⁣ink:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

A, C, D, and F

Help! I’ll give brainliest it’s on quadratic equations

Answers

Answer:

divide b by 2 and square it to get c:

-20/2 = -10

[tex](-10)^2 = 100[/tex]

second part: (x - 10)(x - 10) or [tex](x-10)^2[/tex]

Answer:

x (x-20)

Step by step

Lilly was working on a report on Italian and Spanish scientists. She decided to find a 96 percent confidence interval for the difference in mean age at the time of significant scientific discoveries for Italian versus Spanish scientists. She found the ages at the time of science discovery of all the members of both groups and found the 96 percent confidence interval based on a t-distribution using a calculator. The procedure she used is not appropriate in this context because
The entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
The sample sizes for the two groups are not equal.
Age at the time of science discovery occurs at different intervals in the two countries, so the distribution of ages cannot be the same.
Age at the time of science discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid.
Age at the time of science discovery is likely to have a few large outliers, so the assumption for using this confidence interval formula is not valid.
A t statistic was used to conduct a test of the null hypothesis H0: µ = 11 against the alternative Ha: µ ? 11, with a p-value equal to 0.042. A two-sided confidence interval for µ is to be considered. Of the following, which is the largest level of confidence for which the confidence interval will NOT contain 11?
A. A 90% confidence level
B. A 92% confidence level
C. A 96% confidence level
D. A 97% confidence level
E. A 98% confidence level

Answers

Answer:

The answer is "Option A and Option B".

Step-by-step explanation:

In question 1:

In all cases, the entire population is measured so that the actual medium discrepancy could be measured as well as an interval of trust cannot be used.

This issue would be that she calculated the ages with all representatives of both classes, such that she measured a whole population. It's not necessary.

In question 2:

When the p-value is 0.042. At 90% trust and 92% trust level 11 (p-value below 0.10 and 0.08) are not included. however the biggest confidence level of 92%. Consequently, the largest trust level where the 11 is Not included in the trust interval is 92% trust.

Joe has $32.40. He wants to buy several comic books that each cost $2.70. How many comic books can he buy?

Answers

Answer:

12

Step-by-step explanation:

$32.40/$2.70 = 12 comic books :)

Answer:

Joe has 12 comic books

Step-by-step explanation:

32.40 ÷ 2.70 = 12

check our answer : 2.70 × 12 = 32.40

Therefore, the answer is Joe has 12 comic books

What is the base of a rectangle with a height of 12.6 meters and an area of 28.98 square meters? Enter your answer in the box.​

Answers

Answer:

why is brainlys ask a tutor not free anymore I really needed help so I pressed the button and all it said was pay for tutor plus

Answer:182.524

Step-by-step explanation:28.98•12.6=365.148 365.148 divided by 2=182.524

Chris works at a bookstore and earns $7.50 per h hour plus a $2 bonus for each book she sells. Chris sold 15 books. She

wants to earn a minimum of $300. Which inequality represents this situation, and what quantities are true for h?

A 2h + 30 > 300, where h > 135

B 7.50h + 30 > 300 where h > 36

7.50h + 30 < 300, where h <36

D2h + 30 < 300, where h < 135

Answers

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:it is b because u multiply.

Directions: Find the perimeter and area of each figure below.

HELPPPP ASPPP


Answers

Answer:

17) [tex]6a^{3}b^{2}[/tex]

18) [tex]40m^{4} n^{10}[/tex]

19) 14x³y²

20) [tex]9x^{2} y^{6}[/tex]π

Step-by-step explanation:

17)

Area of triangle = 1/2*b*h

A = 1/2(4a²b)(3ab)

A = 6(a³b²)

18)

A = 1/2(4mn⁵)(20m³n⁵)

A = (40)(m⁴n¹⁰)

19)

A = 2 (1/2)(2xy)(3x²y)

A = (6x³y²) + (4x²y*2xy)

A = 6x³y² + 8x³y²

A = 14x³y²

20)

A = (3xy³)²

A = 3² x² (y³)²

I need the answer with justification please​

Answers

The chance of getting an even number for 1 roll is 1/2 ( half the numbers are even.)

For 3 times in a row:

1/2 x 1/2 x 1/2 = 1/8

The answer is 1/8

Solve and check each equation below . show all work . 24=g+14. f-9=12​

Answers

Answer:

g = 10

f = 21

Step-by-step explanation:

Given equations:

24 = g + 14

f - 9 = 12​

24 = g + 14

Subtract 14 from both sides

24 - 14 = g + 14 - 14

10 = g

g = 10

Check:

24 = g + 14

24 = 10 + 14

24 = 24

f - 9 = 12​

Add 9 to both sides

f - 9 + 9 = 12​ + 9

f = 21

Check:

f - 9 = 12​

21 - 9 = 12

What is the absolute value of point J on the number line?
_------_-----_-----_-----_-----_-----_-----_-----_-----_-----_-----_----J
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
A -6
B 0
C 3
D 6

Answers

Answer:

D (6)

Step-by-step explanation:

you must place a number on a number line starting from the smallest (negative number ) to the bigger number (positive number ).

the number that is represented by J is 6

The Y-Axis on a Coordinate plane runs vertical.

Answers

Answer:

good

Step-by-step explanation:

So when you do the (,) things the x-axis  would go first for example

say the x-axis=5 and the y-axis= 9 it would be (5,9)

hope this helps plz mark brainlest

PLEASEEE HELP I WILL MARK YOU BRAINIEST!!!

Answers

Answer:

26

Step-by-step explanation:

duh....

Maya read 3535 pages in \frac{4}{5}
5
4

of an hour. If she continues reading at the same rate, how many pages will she read in an hour?

Answers

Question for the Poster: Can I get brainliest,Thanks.Please type your questions with correct spelling so you can get your question answered to the best of everyone's ability

Answer:Maya reads 43 and 3/4 or 43.75 pages in 1 hour(or 44 pages per hour)

can someone give me a simple answer to this problem

Answers

Where is it????????????????????
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