Simplify csc θ(1−cos^2 θ)/sinθ cos θ to a single trigonometric function
Answer:
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha } = sec\alpha[/tex]
Step-by-step explanation:
Step(i):-
Given that the trigonometric function
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha }[/tex]
we know that sin²∝ + cos²∝ = 1
⇒ sin²∝ = 1- cos²∝
Now we have to simplify the given trigonometric function
= [tex]\frac{cosec\alpha(sin^{2} \alpha ) }{sin\alpha cos\alpha }[/tex]
= [tex]\frac{cosec\alpha(sin \alpha ) }{ cos\alpha }[/tex]
Step(ii)
we know that cosec∝ = 1/ sin∝
= [tex]\frac{\frac{1}{sin\alpha } (sin \alpha ) }{ cos\alpha }[/tex]
After cancellation sine function, we get
= [tex]\frac{1 }{ cos\alpha } = sec\alpha[/tex]
Final answer:-
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha } = sec\alpha[/tex]
DO U LIKE MATHEMATICS QUESTIONS
Answer:
No lol
Step-by-step explanation:
I actually hate maths..
Combine these radicals.
√27-√3
24
2/3
c c
-2/3
o
-342
(I know it’s no C)
Answer:
2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{27}[/tex] = [tex]\sqrt{9}[/tex][tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
3[tex]\sqrt{3}[/tex] - 1[tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]
Answer:
B i got it right trust me i got 100
Step-by-step explanation:
anyone a J Balvin fan :)
Answer:
He Ll nah fam
Step-by-step explanation:
Triangle ABC is shown below. Which point is the coordinate of the image of
Step-by-step explanation:
there is no image how am I supposed to solve it
Answer:
The answer is C.
Step-by-step explanation:
Hope this helps :)
Select the correct answer. Which operation gives a result of 1.39? A. sum of 2.39 and -130 B. sum of 0.63 and 1.25 C. sum of -2.96 and 4.35 D. sum of -5.66 and 1.25
Answer:
The answer is -2.96 + 4.35
Answer:
-2.96 + 4.35
I hope this helps
4p + 3p = 49
solve for p
Answer:
4p + 3p = 49
p(4+3)=49
p=49/7
p=7
Step-by-step explanation:
..........
Find the mean of 86, 87, 91, and 128
Answer:
98
Step-by-step explanation:
Answer:
296
Step-by-step explanation:
I hope this helps you out!
write the fraction 4/12 as a division expression
Answer:
4 ÷ 12 = 0.33333333333
Step-by-step explanation:
a band is playing a 5000 seat arena and determines that if it sells tickets for $50 each, it will only sell 2,000 tickets. at decides to sell tickets at reduced prices in order to sell more tickets, and discovers that that for each $5 it reduces prices, it will sell an additional 500 tickets. what is the optimal ticket price if the band wants to maximize the revenue from this concert?
Answer:
375,000$?
Step-by-step explanation:
Answer:
Optimal ticket price is $35
Step-by-step explanation:
$50 -> 2000 tickets => $100,000 revenue
each $5 drop in price equals 500 more tickets sold
$40 -> 3000 tickets => $120,000 revenue
$35 -> 3500 tickets => $122,500 revenue
$30 -> 4000 tickets => $120,000 revenue
$25 -> 4500 tickets => $112,500 revenue
$20 -> 5000 tickets => $100,000 revenue
Jasper Diaz apostrophe Balance Sheet. Total assets are 15,800 dollars. Total liabilities are 4,400 dollars.
Consider Jasper’s balance sheet.
What is the total value of Jasper’s assets?
What is the total value of Jasper’s liabilities?
Answer:
the total value of jaspers assets is: $15,800
the total value of jaspers liabilities is: $4,400
Step-by-step explanation:
Answer:
the total value of jaspers assets is: $15,800
the total value of jaspers liabilities is: $4,400
Step-by-step explanation:
hope this helps :D
Plz help I really need it
Answer:
PLZ HELP I ALSO REALLY NEED HELP ON A QUESTION
Step-by-step explanation:
Rose wants to get 90% on a 40 question quiz. How many questions must she get correct?
Find the value of x, rounded to the nearest tenth?
Answer:
Step-by-step explanation:
we can use the trigonometric function in a right triangle
cos x = adjacent side to the angle /hypothenuse
cos 36°= x/10 ; multiply both sides by 10
10 * cos 36° = x ; make sure your calculator mode is in degrees
8.1 = x
Find the volume of the following cube.
A. 12 cubic yards
B. 16 cubic yards
C. 46 cubic yards
D. 64 cubic yards
Step-by-step explanation:
Volume of a cube
= (Side length of cube)³
= (4 yards)³
= 64 cubic yards. (D)
Jada has a vegetable garden. Two-thirds of the garden is made up of tomato plants. Four-fifths of the tomato plants are beefsteak tomatoes. What portion of the garden is made up of beefsteak tomatoes?
Answer:
8/15
Step-by-step explanation:
The problem states that Jada has a vegetable garden made up of 2/3 tomato plants, of which 4/5 are beefsteak tomatoes. Therefore, to determine the portion of the garden that is made up of beefsteak tomatoes, both fractions must be unified in the same common divisor.
Thus, since the common least multiple of 3 and 5 is 15 (3 x 5), the fraction 2/3 can be calculated as 10/15. In turn, of those 10, 4/5 are beefsteak tomatoes, which can be calculated as 8/10, since the common lower multiple of 5 and 10 is exactly 10.
Therefore, 8/15 of Jada's vegetable garden are beefsteak tomatoes.
Answer:
8/15
Step-by-step explanation:
QUICK HELP GIVING BRAINLIEST AWAY
Answer:
-6
Step-by-step explanation:
8 - 2 = 6
But, its has - in it so with that being said, its -8 minus -2 = -6
Answer:
-6
Step-by-step explanation:
hope this helps!
The surface areas of two similar containers are 1500 cm² and 375 cm². The
volume of the smaller container is 450 cm squared. What is the volume of the larger
container, to the nearest whole number?*
Answer:
1800cm^3
Step-by-step explanation:
Since you know that the containers are simular your gonna want to know the difference. so you would do 1500/375 (The two Surface areas) to get 4 which is the differnce.
The Volume now looks like x/450 - So to find x or the volume of the larger container you would multiply 450x4 which equals 1800
Which property can be used to solve the equation?
d/10 = 12
O addition property of equality
O subtraction property of equality
O multiplication property of equality
O division property of equality
Answer:
D
Step-by-step explanation:
12(x - 1) = - 4(3-X) + 8x
This equation has infinite solutions, any real number makes it true.
Y=5x+10 parallel and goes through in the point 4,10
Y=6∝-14
Step-by-step explanation:y=6x-14
Work:
Slope- 6
y-10=6(x-4)
y-10=6x-24
y=6x-14
HOPE IT HELPS YOU!!!!What is the x-coordinate of point B? Write a decimal coordinate.
ch
.
B
3
2
1 2 3 4 5 x
-5 4 3 2 1
2+
3t
PLS ANSWEE
The difference between the x-coordinate of point A and the x-coordinate of point B is -9
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that,
the point B: (14,4)
and Point A: (5,4).
The x coordinate of B is 14 while that of A is 5.
so, we get,
if the difference is x units,
then it can be expressed as equation,
x = 5 - 14
now,
The difference between the x-coordinate of point A and the x-coordinate of point B is
= 5 - 14
= -9
Hence, The difference between the x-coordinate of point A and the x-coordinate of point B is -9
Find out more on equation at:
brainly.com/question/2972832
#SPJ7
Complete question:
Point B: (14,4)Point A: (5,4)What is the difference between the x-coordinate of point A and the x-coordinate of point B?
find the value of m, if
(1/4)^2m × (1/4)^m = (1/4)^6
Answer:
m = 2
Step-by-step explanation:
[tex] { \bigg( \frac{1}{4} \bigg)}^{2m} \times { \bigg( \frac{1}{4} \bigg)}^{m} = { \bigg( \frac{1}{4} \bigg)}^{6} \\ \\ { \bigg( \frac{1}{4} \bigg)}^{2m + m} = { \bigg( \frac{1}{4} \bigg)}^{6} \\ \\ { \bigg( \frac{1}{4} \bigg)}^{3m} = { \bigg( \frac{1}{4} \bigg)}^{6} \\ \\ \because \: bases \: are \: equal \\ \therefore \: exponents \: will \: also \: be \: equal \\ \\ \implies3m = 6 \\ \\ \implies \: m = \frac{6}{3} \\ \\ \huge \red{ \boxed{\implies \: m = 2 }}\\ [/tex]
a contractor hired 150 men to pave a road in 30 days how many men would he hire to do the same work in 10 days
Answer:
750 men
Step-by-step explanation:
150 divided by 3 equals 5
5 times 150 equals 750
so it will take 70 men in 10 days
Consider the following quadratic equation:
10x2 = -15x
i need help asap!! using standard form ax^2+bx+c=0
Work out the area of the triangle.
Answer:
A = 12.92
Step-by-step explanation:
Base x Height x 1/2
3.4 x 7.6 = 25.84
26.52 x 1/2 = 12.92
Hope this helps :)
Sort the following expressions by rewriting tham is the table.
Answer:
Helllllllllllllllllo pls say it back or ur stupied
Step-by-step explanation:
Question 1 of 10
What is the midpoint of the segment shown below?
(-11, 0)
(9,-1)
A. (-1,-1/2)
B. (-2,- )
C. (-1,-1)
D. (-2, -1)
Answer:
A.
Explanation:
Use the midpoint formula to find the midpoint of this line segment.
Answer:
A.
Step-by-step explanation:
count
jameson runs m miles and burns c number of calories is this independent or dependent
Answer:
the amount of miles he runs (m) is independent and the number of calories (c) he burns is dependent
Find the missing angles of 2 questions.
Answer:
x= - 6
Step-by-step explanation:
[tex]for \: 3 \\ u = 360 - 55 - 145 - 30 - 55 = 75[/tex]
[tex]for \: 4 \\ head \: opposite \: angels \\ first \\ 360 - 130 - 130 = 100 \\100 = (2x + 56 + 56) = 2x + 112 \\ 2x = 100 - 112 = - 12 \\ x = - 6[/tex]
Find the x- and y-intercepts of the graph of the equation.
-4x + 2y = 0
Plz help
Answer:
hey you can also go on m a t h w a y to find this!
Step-by-step explanation:
both are (0,0)