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Refer To The Attachment
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Need answer with explanation
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Answer:
[tex]to \: know \: the \: answer[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps !!
Trigonometric identities are used to prove or disprove trigonometric ratios
The trigonometry identity is given as:
[tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex]
Simplify the trigonometry identity, as follows:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
This is so because:
[tex]\cos(\pi + x) = -\cos(x)[/tex]
[tex]\cos(-x) = \cos(x)[/tex]
[tex]\sin(\pi -x) = \sin(x)[/tex]
[tex]\cos(\frac{\pi}{2} + x)} = -\sin(x)[/tex]
So, we have:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
Evaluate the products
[tex]\frac{-\cos^2(x)}{-\sin^2(x)} = \cot^2x[/tex]
Cancel out the common factors
[tex]\frac{\cos^2(x)}{\sin^2(x)} = \cot^2x[/tex]
Rewrite the trigonometry identity, as follows:
[tex](\frac{\cos(x)}{\sin(x)})^2 = \cot^2x[/tex]
In trigonometry,
[tex]\frac{\cos(x)}{\sin(x)} = \cot x[/tex]
So, we have:
[tex](\cot(x))^2 = \cot^2x[/tex]
Remove the bracket
[tex]\cot^2x = \cot^2x[/tex]
The above equation is true.
Hence, [tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex] has been proved
Read more about trigonometric identities at:
https://brainly.com/question/7331447
Related Questions
Find x in the triangle
Answers
Answer:100
Step-by-step explanation:
The question confuses you since there is no extra variable to help you which is you have to create it yourself.
Let's create a variable called 'y' and make it the empty angle inside the triangle and next to x + 30. Since at K it will always equal to 180° because x+30 + y = 180°, we can rearrange to make y alone which would be become:
[tex]y=-x-30+180[/tex] which then becomes [tex]y = -x+150[/tex].
Also since the inside sum of angles in a traingle is equal to 180°, this can be written as
[tex]180 = (x-40) +(x-30)+y[/tex]
if we replace y with the equation we get
[tex]180=(x-40)+(x-30) + (-x+150)[/tex]
which can be simplified to
[tex]180=x+80[/tex] because 2x-x = x and -70+150 = 80
If we rearrange to solve for x, we get:
[tex]x = 180-80[/tex] ⇒ [tex]x=100[/tex]
We can verify this by putting the value of x in both equation:
[tex]y = -100+150 = 50[/tex] angle at k
[tex]100-40=60[/tex] angle at j
[tex]100-30=70[/tex] angle at l
[tex]50+60+70=180[/tex] this match the rules of the sum of interior angle always equal 180°
i need help please thanks
Answers
Answer: a. The prices throughout the year of the items in a store.
Step-by-step explanation:
An input value cannot have multiple output values.
A car used 1/48 of a gallon of gas to drive 1/4 of a mile . At this rate , how many miles can the car travel using 1 gallon of gas
Answers
Answer:
12 miles
Step-by-step explanation:
Your car uses 1/12th of its entire gas to go a single mile. This means that you need to drive 12 miles to run out of gas.
Percentage of words starting with T
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PLEASE I AM IN DESPERATE NEED OF HELP
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/ why we use this symbol
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The slash is an oblique slanting line punctuation mark /. Once used to mark periods and commas, the slash is now most often used to represent exclusive or inclusive or, division and fractions, and as a date separator.
Solve.
(Sorry About my handwriting)
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Answer: the answer is gonna be a decimal which is Decimal: 145.333333 the 3 is repeated it keeps going forever
answered it NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination and it's half solved.
Answers
Answer:
y=6+8
y=14
Step-by-step explanation:
y=14 is the answer to this question
A farmer wants to plant peas and carrots on no more than 400 acres of his farm. If x represents the number of acres of peas and y represents the number of acres of carrots for solution (x, y), then which is a viable solution?
Group of answer choices
(−125, 500)
(250, 150)
(400, −10)
(1, 400)
Answers
Answer:
(250, 150)
Step-by-step explanation:
The acreage cannot be negative, so choices A and C are eliminated. The sum of acreages cannot exceed 400, so choice D is eliminated.
Choice B has the allotted acreages total exactly 400, which is within the farmer's limit.
(250, 150) is a viable solution
PLEASE HELP NO ONE HAS BEEN ANSWERING AT ALL!!!! I WILL GIVE BRAINLIEST! With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h
Answers
Answer:
Step-by-step explanation:
B
Answer:
B
Step-by-step explanation:
128/2=64 mph
(the rate)
2 hr= 120 min
so.. 120-24= 96
and with the wind speed is r-c and without it is r+c because your going against the wind.
what are integer solutions to the equality below-2 < x < 2
Answers
Answer:
-1, 0, 1
Step-by-step explanation:
Intengers are whole numbers. those 3 numbers are the only intengers between -2 and 2
Trevor earns $7.80 an hour take home pay and works 20 hours each week. Trevor wants to buy a new laptop computer to take to college that costs $780. How many weeks will it take for Trevor to achieve his goal? a. 4 weeks b. 5 weeks c. 6 weeks d. 7 weeks
Answers
Answer:
5 weeks
Step by step
7.80 x 20 = 156
156 x 5 = 780
Answer: B) 5 weeks
Step-by-step explanation: I know your struggling and that's why you need this answer. your welcome cutie.
Arthur paid $0.84 for 0.25 pound of potato salad. How much does one pound cost?
Answers
Step-by-step explanation:
1 pound is 4 times 0.25 pounds.
$0.84 = 0.25 pounds
1 pound = $0.84 times 4
1 pound = $3.36
Answer:
$3.36 per pound
Step-by-step explanation:
The information gives us that 1/4 a pound of salad costs $0.84, to get to one pound all we have to do is multiply $0.84 by 4 to get our pound price.
0.84*4= $3.36
Brainliest would be appreciated! :-)
PLS HELP MEE
Are the figures similar? If they are what is the scale factor. If they are not please explain why.
Answers
PLEASE HELP!!!! write the equation in slope-intercept form of the line that passes through (6,-11) and is perpendicular to the graph of y=-2/3x+12
Answers
Answer:
I believe the equation would be: y=3/2x-20
Step-by-step explanation:
This is true because, first you would need to find the slope from the equation, which is -2/3. But, for perpendicular, you would need to make it the exact opposite (which is this case would leave you with a slope of 3/2)
Ex: if you had -3/4, the slope for one that is perpendicular would be 4/3 (exact opposite)
After finding the slope, you take the points (6,-11) and plug it into the equation "y-y1=m(x-x1)"
y-y1=m(x-x1)
y+11=3/2(x-6)
-distribute the 3/2-
y+11=3/2x-18/2
y+11=3/2x-9
-subtract 11 on both sides-
y=3/2x-20
Im not sure if all calculations are correct, but I hope this helps! :)
A car travels 32 miles for each gallon of gas. How many gallons of gas does it need to travel 192 miles?
Answers
Help please !!!!!!!!
Answers
Answer:
yes
Step-by-step explanation:
yes, they are congruent for the AAS rule ( angle angle side)
Maria's monthly income is $1,250. She can afford to spend 25% of her income for rent. How much can she pay for rent each month?
Answers
Answer:
312.5
Step-by-step explanation: 25 percent of 1250 is 312.5(calculated)
to check your answer we multiply 312.5 by 4 as its (25%=1/4)
help please and NO LINKS
Answers
Answer:
B
Step-by-step explanation:
A trapezoid has only two parallel sides while a parallelogram has 2 pairs of parallel sides.
A total of 576 square tiles are needed to tile the floor of a square room
a) how many tiles fit along one wall of the room ?
b) how many square fit along the perimeter of the room ?
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b) there are 92 tiles along the perimeter
4.7.PS-10
Question Help
A company has two manufacturing plants with daily production levels of 8x + 15 items and 3x - 7
items, respectively. The first plant produces how many more items daily than the second plant?
Answers
Answer:
3x times 24 widgets
Step-by-step explanation:
25 Points!! :D
Complete the interphase part of the data from your data table.
Answers
Answer: you should have gotten a pic that shows all the cells phases just count the interphase ones however in the interphase cells spend 90% of its life cycle in this phase
Aaron travels a distance of 680 miles in 8 hours by train. What is the speed of the train?
A.
75 miles/hour
B.
80 miles/hour
C.
85 miles/hour
D.
90 miles/hour
Answers
Answer:
C 85 miles/hour
Step-by-step explanation:
680 / 8 = 85
45
23
+(−
45
23
)
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4523 - 4523
0
want to check my answer
Answers
Answer:
Yes. The answer is good 3x+1
A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Its multiple choice:
A 21.8 km/hr
B 66,000 kg km/hr
C 21.8 kg km/hr
D 66,000 km/hr
Thank you for whoever solves this, I will make sure to add brainliest if possible
Answers
what does 5/6 + (-4/9) (-2) equal
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Answer:
HIya There!!!
________________________
To add fractions, find the LCD and then combine.
Exact Form:
31 /18
Decimal Form:
1.7 ¯ 2
Mixed Number Form:
1 13 /18
________________________
“Happiness resides not in possessions and not in gold, the feeling of happiness dwells in the soul.” – Democritus
________________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
132 divided by 0.11 i need help ;-;
Answers
Answer:
Step-by-step explanation:
1. 132+0.11
2. Answer is 1200
Entering it in Your Calculator
(132 Divided by 0.11)
= 1200
Construct a 60angle
NEEDED ASAP LIKE IN 5 MINUTES OR LESS
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Answer:
but how there is nothing i dk plz can you explain me what the question actually is?
The thickness of a grain of pepper is 2.3 x 10-2 inches. How many inches are 100 grains of pepper? Express your answer in scientific notation.
Answers
Answer:
230.0 x 1000-200
Step-by-step explanation:
Since one grain of pepper is 2.3x10-2 100 would be 100 times that.