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Refer To The Attachment
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Need answer with explanation
If you don't know the answer don't answer.
Thank You!
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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
Help please !!!!!!!!
Answers
Answer:
yes
Step-by-step explanation:
yes, they are congruent for the AAS rule ( angle angle side)
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
Solve.
(Sorry About my handwriting)
Answers
Answer: the answer is gonna be a decimal which is Decimal: 145.333333 the 3 is repeated it keeps going forever
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
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.
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
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
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)
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
/ why we use this symbol
Answers
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.
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.
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 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.
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.
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.
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
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 ?
Answers
b) there are 92 tiles along the perimeter
Percentage of words starting with T
Answers
Construct a 60angle
NEEDED ASAP LIKE IN 5 MINUTES OR LESS
Answers
Answer:
but how there is nothing i dk plz can you explain me what the question actually is?
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°
PLEASE I AM IN DESPERATE NEED OF HELP
Answers
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
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 car travels 32 miles for each gallon of gas. How many gallons of gas does it need to travel 192 miles?
Answers
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! :-)
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! :)
what does 5/6 + (-4/9) (-2) equal
Answers
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
want to check my answer
Answers
Answer:
Yes. The answer is good 3x+1
45
23
+(−
45
23
)
Answers
4523 - 4523
0
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: