Answers
Answer:
Solution given:
1.
L.h.s.
cscx+cotx
[tex] \frac{1}{cosx}+\frac{cosx}{sinx}[/tex]
[tex]\frac{1+cosx}{sinx}[/tex]
multiplying and dividing by (1-cosx)
[tex]\frac{(1+cosx)(1-cosx)}{sinx(1-cosx)}[/tex]
[tex]\frac{1-cos²x}{sinx(1-cosx)}[/tex]
we have
1-cos²x=sin²x
[tex]\frac{sin²x}{sinx(1-cosx)}[/tex]
[tex]\frac{sinx}{1-cosx}[/tex]
=R.h.s.
proved.
2.
l.h.s
[tex]\frac{tan y}{1-cot y}+\frac{cot y}{1-tany}[/tex]
[tex]\frac{\frac{sin y}{cos y}}{1-\frac{cos x}{siny}}+\frac{\frac{cos y}{sin y}}{1-\frac{siny}{cos y}}[/tex]
[tex]\frac{\frac{sin y}{cos y}}{\frac{siny -cos y}{siny}}+\frac{\frac{cos y}{sin y}}{\frac{cos y-siny}{cos y}}[/tex]
[tex]\frac{sin²y}{cos y(siny-cosy)}+\frac{cos ² y}{sin y(cos y-siny)}[/tex]
[tex]\frac{sin²y}{cos y(siny-cosy)}- \frac{cos ² y}{sin y(-cos y+siny)}[/tex]
[tex] \frac{sin³y -cos³y}{sinycosy(siny -cosy)}[/tex]
[tex] \frac{(sin y- cos y)(sin²y+sinycosy+cos²y)}{sinycosy(siny -cosy)}[/tex]
[tex] \frac{sin²y+cos²y +siny cosy}{sinxcosy}[/tex]
[tex] \frac{1+sinxcosy}{sinycosy}[/tex]
[tex]\frac{1}{sinycosy}+1[/tex]
1+cscysecy
R.h.s.
proved.
Related Questions
Kyle typed 574 words in 14 minutes. How many
Answers
Answer:
Kyle typed 574 words in 14 minutes. How many...........?????????
il.l just divide 574 divided by 14= 41
Step-by-step explanation:
:)
Answer:
41 like I said in the comments.
Step-by-step explanation:
3 times x squared increased by 8 is 20
Answers
20-8= 12
12/3= 4
Hope this helps. :)
Answer:
3x² + 8 = 20
x = 2
Step-by-step explanation:
3 times x squared increased by 8 is 20
3x² + 8 = 20
3x² = 12
x² = 4
x = 2
A gymnasium floor is being covered by square shock-absorbing tiles. The new tiles are 2 inches larger in length and width than the old tiles. The new flooring will require only 600 tiles. What is the length of a side of one of the new shock-absorbing tiles
Answers
This question is incomplete, the complete question is;
A gymnasium floor is being covered by square shock-absorbing tiles.
The old gym floor required 864 square tiles. The new tiles are 2 inches larger in length and width than the old tiles. The new flooring will require only 600 tiles. What is the length of a side of one of the new shock-absorbing tiles
Answer:
Length of the side of one of the new shock-absorbing tiles is 12 inches
Step-by-step explanation:
Given the data in the question;
Since both the area for old tiles and new tiles are the same;
so Area of old tiles = Area of new tiles,
given that; The old gym floor required 864 square tiles and new flooring will require only 600 tiles as new tiles are 2 inches larger in length and width than the old tiles.
Now let the length of the sides of the square tiles be x
Area of a square = length × length = x × x = x²
So, Area of Old tiles = 864 × x² = 864x²
Area of New tiles = 600( x + 2 )²
= 600( x² + 4x + 4 )
= 600x² + 2400x + 2400
Now, Area of old tiles = Area of new tiles
864x² - 600x² - 2400x - 2400 = 0
264x² - 2400x - 2400 = 0
we find x
Using; x = [-b ±√( b² - 4ac )] / 2a
x = [-( -2400) ±√( (-2400)² - (4 × 264 × -2400 )] / 2( 264 )
x = [ 2400 ±√( 5760000 + 2534400) ] / 528
x = [ 2400 ±√8294400 ] / 528
x = [ 2400 ±2880 ] / 528
x = [ 2400 - 2880 ] / 528 or [ 2400 + 2880 ] / 528
x = [ -480 / 528 ] or [ 5280 / 528 ]
x = [ -0.909 ] or [ 10 ]
the length of the sides of the square tiles cannot be Negative
Hence, x = 10
Therefore, the length of a side of one of the new shock-absorbing tiles will be;
⇒ x + 2 = 10 + 2 = 12 inches
Length of the side of one of the new shock-absorbing tiles is 12 inches
5 less than 4 times another. product is 6. find the integers
Answers
y= 4x-5
x.y = 6
x = 6/y
substitute value
y= 24/y-5
y²+5y-24=0
y²+8y-3y-24=0
y(y+8) -3(y+8) = 0
y=3 or y = -8
consider y = 3,
3 = 4x-5
x= 2!
now y = -8
-8= 4x-5
x= -3/4
The answer is 2 and 3 Or -8 and -3/4
2 is not 5 less 4 times other so the solution is -8 and -3/4
i need the answer to
7(p + 1) = 2(3p + 1)
Answers
Answer:
p = -5
Step-by-step explanation:
7(p + 1) = 2(3p + 1)
Distribute on both sides.
7p + 7 = 6p + 2
Subtract 6p from both sides.
p + 7 = 2
Subtract 7 from both sides.
p = -5
Answer:
p = -5
Step-by-step explanation:
7(p + 1) = 2(3p + 1)
Distribute
7p +7 = 6p +2
Subtract 6p from each side
7p +7 -6p = 6p+2-6p
p+7 = 2
Subtract 7 from each side p+7-7 =2-7
p=-5
A square originally starts with an area of 64 cm2.
If each side of the square is increased by 2 cm, what is the area of the new square?
Answers
Answer:
100 cm2
Step-by-step explanation:
If the area is 64 cm2 that means that the side is 8 cm (square root of 64 is 8)
8 increased by 2 = 10
area 10x10 = 100 cm2
Answer:
the answer is 100cm²
since originally is 64 cm²
so square root of 64 is 8 cm.
after you get 8cm you get,
8+2 = 10cm (a side of square)
and then to find a new area you get,
10 × 10 = 100 cm²
find a value of (2power-1*4power-1)
Answers
2^( - 1 ) × 4^( -1 ) =
2^( -1 ) × 2^( 2 × ( - 1) ) =
2^( - 1 ) × 2^( - 2 ) =
2^( - 1 - 2 ) =
2^( - 3 ) =
1/ 2^( 3 ) =
1/8
Can any one psay what is monmon meaning I think it's and alien
Answers
Answer:
Monmon is a Beast Digimon. It is a Digimon that has the appearance of an infant monkey. It has enough strength to wield a slingshot the size of its body with ease, and confidence in its abilities to prevent its prey from escaping. It often falls from treetops due to its careless personality. Its stylish traits are its tiger-printed outfit and its white-tipped tail
Suppose that 11 inches of wire costs 44cents.
At the same rate, how many inches of wire can be bought for 24 cents?
Answers
44/11 = 4
4 cents per inch
24/4 = 6
we can bought 6 inches of wire which costs 24 cents
PLEASE HELP +10 BRAINLY POINT
Answers
Answer:
13 =x
Step-by-step explanation:
The width is x
The length is 2 times the width or 2x
A = length * width
A = 2x* x
338 = 2x^2
Divide by 2
338/3 = 2x^2/2
169 = x^2
Taking the square root of each side
sqrt(169) = sqrt(x^2)
13 =x
Please answer this question for me!!!!!!
Answers
Solve the expression: x = 5, y = 8. x² - 3y =
Answers
Answer:
x^2-3y
5^2-3*8
25-24
1
Step-by-step explanation:
50 points to the first answer, will be checking the answers
Answers
Answer:
.998543
9.92749
sqrt(101)
10 pi
Step-by-step explanation:
10 pi is approximately 10 * 3.14 = 31.4
.998543 is less than 1
9.927
sqrt(101) is a little more than sqrt(100) which is 10
Smallest .998543
9.92749
sqrt(101)
10 pi
Answer:
.998543
9.92749
sqrt(101)
10 pi
Step-by-step explanation:
10 pi is approximately 10 * 3.14 = 31.4
.998543 is less than 1
9.927
sqrt(101) is a little more than sqrt(100) which is 10
Smallest .998543
9.92749
sqrt(101)
10 pi
What is the approximate volume of the composite figure 3cm radius with 14cm height? Use 22/7 for π. Round to the nearest hundredth.
Answers
Answer:
188.57 cm^3
Step-by-step explanation:
I know i'm big brain
Jenny bought gallons of lemonade and milk for a banquet. A gallon of lemonade costs $5, and a gallon of milk costs $3. Jenny spent $120 and bought 32 total gallons. How many gallons of milk did Jenny buy?
Answers
Answer:
She Bought 40 Gallons of Milk
Step-by-step explanation:
Help pls ………………………………
Answers
Answer:
12
Step-by-step explanation:
In the 1990s the demand for personal computers in the home went up with household income. For a given community in the 1990s, the average number of computers in a home could be approximated by
q = 0.3456 ln x − 3.045 10,000 ≤ x ≤ 125,000
where x is mean household income. A certain community had a mean income of $15,000, increasing at a rate of $1,500 per year.
1. How many computers per household were there?
2. How fast was the number of computers in a home increasing?
Answers
Answer:
dvffdd
Step-by-step explanation:
Anna has 85 coins in her piggy bank. She notices that she only has dimes and pennies. If she has exactly four times as many pennies as dimes, how many pennies are in her piggy bank?
Help Pls:)
Answers
Answer:
17 Dimes 68 Pennies
Step-by-step explanation:
If I'm right could I get brainiest I need it for my rank
Relationship in Figures
Determine the unknown side length of the golden rectangle with the given side length.
s = _____ t = 9
a. 5.56
b. 4.85
c. 4.94
d. 5.26
Please select the best answer from choices provided
Answers
Answer:
A. 5.56
Step-by-step explanation:
I calculated logically
In which of the following situations should the t distribution be used? a. When the sample standard deviation is used to estimate the population standard deviation b. Only when the population mean is 0 c. When the sample size is less than 30 d. When the population is not normally distributed
Answers
Answer:
a. When the sample standard deviation is used to estimate the population standard deviation
Step-by-step explanation:
T or Z distribution:
If we have the standard deviation for the sample, we use the t-distribution.
If we have the standard deviation for the population, we use the z-distribution.
Thus, the correct answer for this question is given by option a.
Bob earns $60,000 a year at an accounting firm. Each year, he receives a raise. Bob has determined that the probability that he receives a 10% raise is 0.7, the probability that he earns a 3% raise is 0.2, and the probability that he earns a 2% raise is 0.1.A competing company has offered Bob a similar position for $65,000 a year. Bob wonders if he should take the new job or take his chances with his current jo
Answers
Answer:
He should keep his job.
Step-by-step explanation:
We know that there is a 70% chance that he willend up getting a 10% raise. A 10% raise will allow him to make 66000 dolllars, which is 1000 more than getting a new job.
There is a 30% chance that he will make about 3,100 dollars less than a new job. However, 30% is much lower than 70%, so this probably wont be the outcome. And over future years, if this remains constant, he will end up still making more money staying wiht his job.
Hope this helps!
FOR 100 POINTS!!!! BRAINLIEST TOO PLEASE HELP!!!!
Estimate an equation for the line of best fit for the following scatter plot. Pic below. Open ended.
Answers
Answer:
y = 8.667x + 8Step-by-step explanation:
Use two points on the graph to get an equation:
(0, 8), (6, 60)The slope: m = (60 - 8)/6 = 8.667
The y- intercept is 8
The equation of the line of best fit:
y = 8.667x + 8The answer to your question is y = 8.667x + 8. Hope this helps; have a great day!
Mark is building a sandbox inside a play area. How much play area remains outside of the sandbox?
Answers
Answer:
What is the anwser i ned help
Step-by-step explanation:
Frank lost 5 points for not completing his homework, 3 points for talking, and 2 points for chewing gum. This happened 4 days in a row. Which expression represents the number of points Frank lost.
Answers
Answer:
(5+3+2) x4
Step-by-step explanation:
The answer would be 40
Here's why:
1. (5+3+2)= 10
2. 10x4
3. 40
The expression represents the number of points Frank lost would be (5+3+2) x 4.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Frank lost 5 points for not completing his homework, 3 points for talking, and 2 points for chewing gum.
This happened 4 days in a row.
The expression represents the number of points Frank lost.
(5+3+2) x 4
Here,
(5+3+2)= 10
= 10x4
= 40
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
SOMEONE HELP IM STUCK LOL
Answers
9514 1404 393
Answer:
C. ΔABE≅ΔDBC by SAS
Step-by-step explanation:
Only two sides are marked as congruent. So, any claim using SSS is automatically false. (SSS requires 3 corresponding sides be congruent.)
Of the claims citing SAS, the one regarding ΔABD is false. The points A, B, and D are on the same line, so do not form a triangle.
The only correct claim is that of C: ΔABE≅ΔDBC by SAS
can someone help me find the value of w please :)
Answers
Answer:
w=18.27
Step-by-step explanation:
Using Trig you have opposite and hypotenuse so use SIN
Sin(66)=w/20
20Sin(66)=w
w=18.27
In What quadrant is the point (-5, -5) located
Answers
Answer:
Since both values are negative, it can be found in the 3rd quadrant
Feel free to mark this as brainliest :D
can someone help 10 points
Answers
Answer:
The volume of this rectangular prism is 72 cubic units. We multiply 6*4*3 to get 72.
What is the median of the following numbers: 15, 51, 35, 25, 58, 33, 64, 43, 29, 14, 13, 11, 4, 10?
Answers
Answer:
(25+29)/2 = 27
Step-by-step explanation:
Answer:25+29=54
54/2=27
Step-by-step explanation:
4, 10, 11, 13, 14, 15, 25, 29, 33, 35, 43, 51, 58, 64
25+29=54
54/2=27
Answer: 27
John runs a computer software store. Yesterday he counted 135 people who walked by the store, 58 of whom came into the store. Of the 58, only 21 bought something in the store. (Round your answers to two decimal places.)
Answers
Answer:
my name is Thor the answer is false mark me in arsenal