1. Complete the empty cells in the table below with the correct values. sin theta= sqrt 2/2
Answers
Using trigonometric function concepts, it is found that:
The angle is of 45 degrees, or [tex]\frac{\pi}{4}[/tex] radians.[tex]\cos{\theta} = \frac{\sqrt{2}}{2}[/tex][tex]\csc{\theta} = \sqrt{2}[/tex][tex]\sec{\theta} = \sqrt{2}[/tex][tex]\cot{\theta} = 1[/tex]From the sine, we have that:
[tex]\sin{\theta} = \frac{\sqrt{2}}{2}[/tex]
Then:
[tex]\sin^{-1}{\sin{\theta}} = \sin^{-1}{\frac{\sqrt{2}}{2}}[/tex]
[tex]\theta = \frac{\pi}{4}[/tex]
Since pi radians is 180º, this angle is of 180/4 = 45 degrees.
From the tangent:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
[tex]1 = \frac{\frac{\sqrt{2}}{2}}{\cos{\theta}}[/tex]
[tex]\cos{\theta} = \frac{\sqrt{2}}{2}[/tex]
[tex]\cot{\theta} = \frac{1}{\tan{\theta}}[/tex]
[tex]\cot{\theta} = 1[/tex]
For the cosecant and secant:
[tex]\csc{\theta} = \frac{1}{\sin{\theta}} = \frac{1}{\frac{\sqrt{2}}{2}} = \frac{2}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \sqrt{2}[/tex]
[tex]\sec{\theta} = \frac{1}{\cos{\theta}} = \frac{1}{\frac{\sqrt{2}}{2}} = \frac{2}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \sqrt{2}[/tex]
[tex]\csc{\theta} = \sqrt{2}[/tex]
[tex]\sec{\theta} = \sqrt{2}[/tex]
To learn more about trigonometric functions, you can take a look at https://brainly.com/question/18055768
Related Questions
Determine if each situation represents experimental or theoretical probability.
Kelly has made 16 out of 25 free throws. The probability that she will make her next free throw is 64%.
Answers
Answer:
The answer might be a 91% chance of her next throw
Step-by-step explanation:
Evaluate f(x) = 3x + 8 for x = 1.
-11
5
11
3
Answers
Answer:
11
Step-by-step explanation:
f(x)=3x+8
f(1)=3(1)+8
f(1)=3+8
f(1)=11
Answer:
The anwser is 11
Step-by-step explanation:
You just replace x with 1, and solve, so it would be 3(1) + 8, which is 11.
What is the y-intercept of the line?
Answers
NEED HELP ASAP 10 min !!!!!!!!!!!!!!
Answers
HELP ME ASAP PLEASE:(
Answers
Answer:
is B
Step-by-step explanation:
6.167 High School Graduates. According to the document Cur-rent Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level. If 100 such adults are selected at random, determine the probability that the number who have a high school degree as their highest educational level is
Answers
Answer:
Hello your question is incomplete below is the missing value
determine the probability that the number who have a high school degree as their highest educational level is exactly 32
answer : P( x = 32 ) = 0.08
Step-by-step explanation:
Given ;
n = 100 , p = 0.304
np = 100 * 0.304 = 30.4
n( 1 - p ) = 100 ( 1 - 0.304 ) = 69.6
applying normal approximation to the Binomial to determine mean value and standard deviation ( because: np and n(1-p) > 5 )
mean = np = 30.4
std = [tex]\sqrt{np(1-p)}[/tex] = [tex]\sqrt{30.4(69.6)}[/tex] = 4.6
Determine the probability of exactly 32
P( X = 32 ) = P( 31.5 < X < 32.5 )
= P( (31.5 - 30.4) / 4.6 < X < (32.5 - 30.4) / 4.6 )
= P ( 0.24 < Z < 0.46 )
= p( Z < 0.46 ) - p( Z< 0.24 ) ( using standard tables )
= 0.6772 - 0.5948 = 0.0824 ≈ 0.08
whats 1/3 of 2/4
answer pls
Answers
Answer:
0.16666666666 or 16666666666/100000000000
Step-by-step explanation:
Andre wants to run ten miles in three days. He ran 2.5 miles on Monday and 4.4 miles on Tuesday. How many miles does Andre need to run on Wednesday?
Answers
Answer:
3.1 miles
Step-by-step explanation:
2.5 + 4.4 = 6.9
10 - 6.9 = 3.1
Find the value of n. 0 • 37 = n
Answers
Answer:
the value of n = 0
Step-by-step explanation:
0 times anything always equals zero
I need help solving this problem.
Answers
9514 1404 393
Answer:
8/7
Step-by-step explanation:
[tex]\displaystyle\left(\frac{g}{f}\right)(-2)=\frac{g(-2)}{f(-2)}=\frac{7(-2)-2}{-2(-2)^2+3(-2)}\\\\=\frac{-16}{-8-6}=\boxed{\frac{8}{7}}[/tex]
Answer:
the answer is 8/7
Step-by-step explanation:
:)))))
Jeff's roof is three times larger than Monica's roof. What is the measurement of the side where there is a question mark in the picture below? A. 7.64 ft B. 7.73 ft C. 7.93 ft D. 11.6 ft
Answers
Answer:
Step-by-step explanation:
eff's roof is three times larger than Monica's roof. What is the measurement of the side where there is a question mark in the picture below? A. 7.64 ft B. 7.73 ft C. 7.93 ft D. 11.6 ft
Answer:
The answer is B: 7.73 ft
Step-by-step explanation:
I was able to solve it by dividing 23.19 ft (Jeff's roof side length) by 3. BONUS: I got it right on the test! :D
Hope you like my answer!
Help! Will give brainliest if possible.
No links.
Answers
Answer:
B.8 cups
Step-by-step explanation:
2/3+1/3= 1 whole cup
So if 1 cup is 1 dozen then 8 cups is 8 dozen
the midpoint of AB has a coordinates of (5,-1). if the coordinates of A are (2,-3), what are the coordinates of B?
Answers
HELP THIS IS DUE AT 1:30
Focus Question. (Respond to the following prompt in three to five sentences please.)
Describe the accomplishments in the arts, philosophy, and literature during the Ming dynasty learn from the Ming Dynasty?
Answers
Answer:
The Ming Dynasty contributed significantly to the fields of culture, science, and technology. Moreover, textiles and mining industries also flourished during this time. Towards the end of the Ming Dynasty, a capitalist production system was gradually developing. The Ming Dynasty achievements resulted in many entrepreneurs readily seizing economic development opportunities building the great wall. One of the most significant Ming Dynasty achievements in engineering is the completion and repair of the Great Wall. Ming, The restoration of the Grand Canal was also an important achievement of this era. A wide range of machinery and equipment from which silk and cotton looms were made were invented during this era. Dynasty achievements also included significant contributions in the fields of philosophy, art, and literature. The Forbidden City, Beijing, was an essential architectural achievement that was also constructed during this era.
The famous white and blue porcelain of China originated in the era of the Ming Dynasty.
Step-by-step explanation:
The Ming Dynasty (1368-1644) was a period of great artistic and cultural achievements in China.
What is Ming dynasty?In China, the Ming dynasty was a time of great cultural and artistic flourishing, with significant contributions to literature, philosophy, and the arts.
Here are some of the Ming dynasty's achievements in the arts, philosophy, and literature:
Ming dynasty art was distinguished by a return to traditional Chinese painting techniques as well as a focus on naturalistic and realistic depictions of the world.Confucianism was the dominant philosophy during the Ming dynasty, and it played an important role in shaping society and culture.Literature: During the Ming dynasty, vernacular Chinese literature developed, which was more accessible to common people than classical Chinese language.The Ming dynasty is known for its magnificent architecture, which includes the Great Wall of China, the Forbidden City, and the Temple of Heaven.Thus, these are the accomplishments in the arts, philosophy, and literature during the Ming dynasty learn from the Ming Dynasty.
For more details regarding Ming Dynasty, visit:
https://brainly.com/question/2507461
#SPJ3
thric
b. The perimeter of a square room is 48m, how much square metre carpet is
required to cover it?
Answers
Answer:
144
Step-by-step explanation:
A square room has all sides the same length
the perimeter is the length of the sides (which are the same length) therefore dividing it by 4 to get the length of 1 side multiplied by itself will give us the area to be covered.
In circle D with mZCDE = 112 and CD = 9 units, find the length of arc CE.
Round to the nearest hundredth.
Answers
Answer:
CE= 17.59
Step-by-step explanation:
Arc Length=central angle/ 360 (circumference)
CE= 112/ 360 (2π9)
CE= 17.59
should i get taco bell or mcdonald’s after hours of stressing and overthinking me and everyone else’s existence ¿
Answers
Answer:
taco bell
Step-by-step explanation:
Answer:
i would say taco bell
Step-by-step explanation:
have a blessed day :)
sketch the graphs of y= sin x, y= sin 2x, and y=2 sin x. describe how the graphs are alike and how they are different
Answers
Answer:
Step-by-step explanation:
The graphs can be seen in the picture attached below where
y= sin x is the red wave
y= sin 2x is the blue wave
y=2 sin x is the green wave
Each graph is obviously a wave in shape but where they all differentiate is in the frequency and amplitude of the wave. Meaning how often a wave cycle repeats in the functional and how high and low the wave cycles actually get. That is where the difference takes place sinx has wider wave cycles than the other two. sin2x has the shortest wave cycles, almost twice for everyone red wave cycle. While 2sinx has the highest and lowest amplitude of all of the waves.
parallel and perpendicular lines
Answers
Answer:
A. Slope = -³/2
B. y = -³/2x - 6
C. ³/2x + y = -6
Step-by-step explanation:
A. Slope of the line would be the negative reciprocal of the slope of 2x - 3y = 12, which is written in standard form. Rewrite in slope-intercept form, y = mx + b, where m = slope.
Thus:
2x - 3y = 12
-3y = -2x + 12
y = -2x/-3 + 12/-3
y = ⅔x - 4
The slope of 2x - 3y = 12 is therefore ⅔.
The slope of the line perpendicular to 2x - 3y = 12 would be the negative reciprocal of its slope, ⅔ which is:
-³/2
Therefore, the slope of the line perpendicular to 2x - 3y = 12 is -³/2
B. To find the equation of the line in slope-intercept form, first find the equation in point-slope form using the point given (-6, 3) and slope of the line, -³/2.
Substitute a = -6, b = 3, and m = -³/2 into y - b = m(x - a).
Thus:
y - 3 = -³/2(x - (-6))
y - 3 = -³/2(x + 6)
Rewrite in slope-intercept form, y = mx + b
Multiply both sides by 2
2(y - 3) = -3(x + 6)
2y - 6 = -3x - 18
2y = -3x - 18 + 6
2y = -3x - 12
y = -3x/2 - 12/2
y = -³/2x - 6
C. Rewrite y = -³/2x - 6 in standard form.
y = -³/2x - 6
³/2x + y = -6
Dominic has 1 1/2 cups of yogurt to make smoothies. Each smoothie uses cup
1 1/2 of
yogurt. How many smoothies can Dominic make with the yogurt?
Answers
Answer:
Dominic can only make one smoothie considering he only has one full cup of yogurt.
Step-by-step explanation:
1.5(yogurt he has)-1.0(yougurt needed)=.5(leftover yogurt)
a girl is 10 years older then her brother. By next year, she will be twice the age of her brother. what are their ages now?
Answers
Answer:
20 years old.
Step-by-step explanation:
let me know if I'm right or not
Which expression is equivalent to 25x – 10y?
Answers
Answer:
5(5x-2y)
Step-by-step explanation:
To find the equivalent expression, you can perform the distributive property for each equation. for a, you multiply 5 by each term in the parentheses. you will get 25x-10y.
Hope this helps!
Use the binomial squares pattern to multiply (6u3−v)2.
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 36u^6-12u^3v + v^2
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Asa has 4 pairs of shoes, 5 pairs of pants, and 4 shirts which can be worn in any combination. he need to choose an outfit to wear to his friends birthday party. how many different combinations consisting of one item in each category are possible?
A.9
B.13
C.20
D.40
E.80
Answers
Answer:
E
Step-by-step explanation:
what percentage of 4m is 20cm
Answers
Answer:
5%
Step-by-step explanation:
How many centimeters are in one meter? (Hint: 100)
How many centimeters are in four meters? (Hint: Multiply by 4)
What fraction expressions 20 centimeters as a portion of four meters (when the meters are expression in centimeters)?
After doing the division indicated by the fraction, what decimal do you get?
After moving the decimal point two places to the right, what percentage do you get?
Your answer should be somewhere between 3% and 15%.
Hope you found this helpful!!
THANK YOU!
∝ Sidhdi
8 cm
5 cm
What is the perimeter? If necessary, round to the nearest tenth.
centimeters
Answers
Answer:
Hypotenuse square = 8cm
Base square= 5cm
Altitude square= a
= hyp square - Base Square
= [tex]8^{2}[/tex] - [tex]5^{2}[/tex]
= 8 x 8 - 5 x 5
= 64 - 25
= 39
= 6.24
Perimeter of The Triangle= 8cm + 5cm+ 6cm
= 19cm
19 to the nearest tenth --> 20cm
HOPE THIS HELPS
Answer:
p=50cm
8cm
Step-by-step explanation:
p=10x5
8
p=50
8
What is the answer please help no links no links
Answers
V/16.1=7.5 please help
Answers
Answer:
V/16.1=7.5
V=16.1×7.5
V=120.75
Consider the following function.
f(x) = 5*
Complete the following statements about f(x).
The y-intercept of f(x) is
The x-intercept of f(x) is
The end behavior of f(x) is
I need help!
Answers
The x-intercept is at (∞, 0)
The y intercept is (0, 1)
Intercept of a graphThe x-intercept of a graph occurs at the point where y = 0
Given the equation y = 5^x
If y = 0
5^x = 0
xln5 = ln 0
x = ln0/ln5
x = ∞
The x-intercept is at (∞, 0)
y-intercept
The y-intercept occurs at the point where x = 0
y = 5^0
y = 1
Hence the y intercept is (0, 1)
Learn more on intercept here: https://brainly.com/question/25722412
Courtney bought 2 quarts of milk, 4 quarts of orange juice, and 2 quarts of apple juice. How many gallons of liquid did she buy?
Answers
The number of gallons of liquid that Courtney bought is 2 gallons.
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object.
Given that,
Amount of milk bought = 2 quarts
Amount of orange juice bought = 4 quarts
Amount of apple juice bought = 2 quarts
Total amount of liquid bought = 2 + 4 + 2 = 8 quarts
We have the conversion,
1 quart of liquid = 0.25 gallon of liquid
Total amount of liquid bought in gallons = 8 × 0.25 = 2 gallons
Hence the total amount of liquid bought is 8 gallons.
Learn more about Measurements here :
https://brainly.com/question/29824090
#SPJ3