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3 years ago

Verify sin(360° - 0) = -sin0

Mathematics

2 answers:

zaharov [31]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

Using the Addition formula for sine

sin(x ± y) = sinxcosy ± cosxsiny

Consider the left side

sin(360 - Θ ), then

= sin360°cosΘ - cos360°sinΘ

= 0 × cosΘ - 1 × sinΘ

= 0 - sinΘ = - sinΘ → verified

worty [1.4K]3 years ago

4 0

Answer: $sin(360\°-\theta)=-sin\theta$ is TRUE (See the explanation)

Step-by-step explanation:

To verify $sin(360\°-\theta)=-sin\theta$ you need to use the following identity:

$sin(x\±y)=sin(x)\ cos(y)\±cos(x)\ sin(y)$

It is important to know that:

$sin(360\°)=0\\\\cos(360\°)=1$

Then, knowing this, you get:

$sin(360\°-\theta)=sin(360\°)\ cos\theta-cos(360\°)\ sin\theta=0\ cos\theta-1\ sin\theta=-sin\theta$

Therefore $sin(360\°-\theta)=-sin\theta$ is TRUE.

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High population density can cause increased competition for resources such as food or shelter, while a low population density ca

krek1111 [17]

Answer:

The region with the highest population density is Binky Lee

The region with the lowest population density is Cheslen

Step-by-step explanation:

we know that

The population density is the number of people per unit of area

Find out the population density for each region

Bear Creek

$\frac{462}{112}= 3.70\ people/acre$

Binky Lee

$\frac{12,624}{3,412}= 4.13\ people/acre$

Cheslen

$\frac{3,537}{1,263}= 2.80\ people/acre$

Crow's Nest

$\frac{2,142}{612}= 3.5\ people/acre$

Cheslen < Crow's Nest < Bear Creek < Binky Lee

therefore

The region with the highest population density is Binky Lee

The region with the lowest population density is Cheslen

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4 years ago

Read 2 more answers

There ratio of boys to girls is 17:3 there are 740 people how many boys are there

julsineya [31]

Ratio of boys to girls= 17:3
number of people= 740

to find the number of boys out of 740 people, you have to add the ratio together and divide 740 by it. then multiply the answer by 17 because the ratio for boys is 17.

17+3=20

740÷20=37
37×17=629

answer= 629
hope this helps....

8 0

3 years ago

Write the following expressions in standard form.

IRISSAK [1]

Write the folowing in standard form and you well get
#1 is 5b
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3 years ago

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A line passes through point A(10,15). A second point on the line has an x-value that is 125% of the x-value of point A and a y-v

melisa1 [442]

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Step-by-step explanation:

The point-slope form of a linear equation is $y-y_{1}=m(x-x_{1})$ , where

m is the slope of the line, where $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line
$(x_{1},y_{1})$ is a point on the line

∵ Point A = (10 , 15)

∵ The x-coordinate of the second point is 125% of x-coordinate

of point A

∴ x-coordinate of second point = $\frac{125}{100}$ × 10

∴ x-coordinate of second point = 12.5

∵ The y-coordinate of the second point is 75% of y-coordinate

of point A

∴ y-coordinate of second point = $\frac{75}{100}$ × 15

∴ y-coordinate of second point = 11.25

∴ The coordinates of the second point are (12.5 , 11.25)

Let us find the slope of the line by using the rule of it above

∵ $(x_{1},y_{1})$ = (10 , 15)

∵ $(x_{2},y_{2})$ = (12.5 , 11.25)

∴ $m=\frac{11.25-15}{12.5-10}=\frac{-3.75}{2.5}=-\frac{3}{2}$

Now we can write the equation

∵ The point-slope form is $y-y_{1}=m(x-x_{1})$

∵ $m=-\frac{3}{2}$

∵ $(x_{1},y_{1})$ = (10 , 15)

- Substitute these values in the form of the equation

∴ y - 15 = $-\frac{3}{2}$ (x - 10)

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Learn more:

You can learn more about the linear equation in brainly.com/question/4152194

#LearnwithBrainly

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3 years ago

Ayman can print a document on an apricot printer in 4.5 min how long it will take him to print the same document on a sure-fire

Semenov [28]

Use the four-step plan to solve each problem.

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Sample answer: about $27

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ANSWER:

127 mi

10. Persevere with Problems Noah has a $20 gift

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ANSWER:

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13. A 26-mile section of a highway is designated as a

scenic byway. New signs will be placed at the

beginning and end of this section and at every 0.5

mile in between. How many new signs are needed?

A 13

B 14

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D 53

ANSWER:

Use the four-step plan to solve each problem.

1. Financial Literacy Antonia bought a video game

system for $323.96. She paid in 12 equal

installments. About how much did she pay each

month?

ANSWER:

Sample answer: about $27

4. The planet Mercury takes 56.6 Earth days to rotate

once about its axis.

About how many times does it rotate about its axis

during one Earth year?

ANSWER:

Sample answer: about 6 times

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(ppm), for three different

brands of printer.

a. Andrew needs to print a document that is 180

pages long. How much longer will it take to print the

document on a Sure-Fire printer than on a Centroid

printer?

b. Carlos can print a document on an Apricot

printer in 4.5 minutes. How long would it take him

to print the same document on a Sure-Fire printer?

ANSWER:

a. 3 min

b. 3 min

7. The towns of Jackson, Bellevue, Salem, and

Denton lie along a highway, in the order listed. The

distance from Jackson to Salem is 84 miles. The

distance from Bellevue to Denton is 61 miles. The

distance from Bellevue to Salem is 18 miles. What

is the distance from Jackson to Denton?

ANSWER:

127 mi

10. Persevere with Problems Noah has a $20 gift

card for an online music store. All songs at the store

have the same price. After Noah buys 3 songs, the

balance on the card is $16.25. What will be the

remaining balance on the card after he buys 5 more

songs?

ANSWER:

$10

13. A 26-mile section of a highway is designated as a

scenic byway. New signs will be placed at the

beginning and end of this section and at every 0.5

mile in between. How many new signs are needed?

A 13

B 14

C 52

D 53

ANSWER:

5 0

3 years ago

Verify sin(360° - 0) = -sin0​

Verify sin(360° - 0) = -sin0