Answers
The value of the trigonometric expression cos(2x)/ [cos(x)-sin(x)] will be cos(x) + sin(x) thus option (C) is correct.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.
As per the given,
cos(2x)/ [cos(x)-sin(x)]
Since, cosx = cos²x - sin²x
cos(2x)/ [cos(x)-sin(x)] = (cos²x - sin²x)/[cos(x)-sin(x)]
Since, A² - B² = (A + B)(A - B)
(cos²x - sin²x)/[cos(x)-sin(x)] = [cos(x)+sin(x))(cos(x)-sin(x)]/[(cos(x)-sin(x))]
⇒cos(x) + sin(x)
Hence "Trigonometric expression cos(2x)/[cos(x)-sin(x)] value will be sin(x) + cos(x)".
For more information about the trigonometric function,
https://brainly.com/question/14746686
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Related Questions
Suki rode her bike 6/7 mile. Claire rode her bike 1/3 mile. They want to compare how far they each rode their bikes using benchmark 1/2. Select the correct answer to describe how to solve the problem.
Answers
Answer:
6/7 > 1/2
1/3 < 1/2
Suki rode her bike a longer distance than Clarie
Step-by-step explanation:
Suki's distance = 6/7 miles
Compare with bechmark 1/2
6/7 and 1/2
Make the denominators same
(6*2)/(7*2) and (1*7)/(2*7)
12/14 and 7/14
12/14 is greater than 7/14
12/14 > 7/14
Therefore, 6/7 > 1/2
Clarie distance = 1/3 miles
Compare with bechmark 1/2
1/3 and 1/2
Make the denominators same
(1*2)/(3*2) and (1*3)/(2*3)
2/6 and 3/6
2/6 is less than 3/6
2/6 < 3/6
Therefore,
1/3 < 1/2
Compare Suki's distance with Clarie
compare 6/7 and 1/3
Make the denominators same
(6 * 3)/(7 * 3) and (1 * 7)/(3 * 7)
18/21 and 7/21
18/21 > 7/21
Suki rode her bike a longer distance than Clarie
ANSWER ASAP TEST IN ONLY 45 MINUTES
Simplify the expression. 5 + 5(x – 4) – 7x
a) 2x + 25
b) -2x - 25
c) -2x - 15
d) 2x + 15
Answers
Answer:
-2x-15
Step-by-step explanation:
Answer: C. -2x-15
Step-by-step explanation: 5 + 5(x – 4) – 7x
5(x-4)-7x+5
(5x-5×4)-7x+5
5x-20-7x+5
5x-7x-20+5
-2x-15
BRIANLIST ANSWER!! Please help on this one question ( if you’re good at this) thanks :))
Answers
Answer:
Step-by-step explanation:
(21²+10²)½ = 23.25= 23.3
A square is changed into a rectangle by increasing the length of the square by 5 units to be (x + 5) and increasing the width by 3 units to be (x + 3). Write a simplified expression that represents the area of the resulting rectangle in square units?
Answers
Explanation:
Length = x + 5
Breadth = x + 3
Area = l x b = (x + 5)(x + 3) = x(x + 3) + 5(x + 3) = x^2 + 3x + 5x + 15 = x^2 + 8x + 15 square units
Ethan and Sam work at different department stores. Ethan is paid 125$ per week and an 8% commission on sales, while Sam is paid 200$ per week and a 6% commission on sales. Enter the amount in dollars of sales for which they earn the same weekly income
Answers
Answer:
3750$
Step-by-step explanation:
Let x be the amount in dollars of sales:
125 + 0.08x = 200 + 0.06x (when Ethan and Sam earn the same weekly income)
0.02x = 75
x = 3750
What is the value of the expression 2 + 32 ⋅ (5 − 1)? 31 32 37 38
Answers
Answer:
38
Step-by-step explanation:
Pemdas
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
Ginny paid $4.16 for a sandwich. She paid $0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?
Answers
Answer:
$5.01 moneyyyyyy lollll
Answer:
$5.11
Step-by-step explanation:
Pleas help me if this is correct
Answers
Answer:
yes, i think it is
Step-by-step explanation:
Answer:
Yes...your right...but no...its 28 degrees.
Step-by-step explanation:
So bascially, angle C is 90 degrees. So is angle D.
We know A is 28 degrees.
We know a tiangle is 180 degrees.
We dont know the degree of C in the first trinagle or the secodn triangle, but again, we know the total degrees of C is 90.
To find the missing angle, we must find what C is first.
So, we know we can subtract 90 from 180 to get 90. Since there is a 90 degree angle in the first triangle.
Next we can subtract 28, since we know that is the measure of angle A.
This gets us 62.
Now subtract 62 from the 90 degrees of angle C. THis will find us its angle in the second traingle.
This gets us 28.
This is our missing number.
So you were wrong in the sense that you solved for the wrong angle y, but you did get the right answer:
Since we know that a triangle is 180, and one of these is a right angle, there is 90 degrees.
If we subtracrt the 28 we got just now, we would get 62, which is angle B, or DBC.
However, the 28 is angle C, or DCB.
So your answer is actually 28, not 62.
Hope this helps!
You spin a spinner and flip a coin. Find the probability of the events.
15. Spinning a 4 and flipping heads
16. Spinning an even number and flipping tails
17. Spinning a multiple of 3 and flipping heads
18. Spinning white and not flipping heads
Answers
PLSSS
please help me get the answer and how to show my work
Answers
Answer:
Surface area of cubic box = 376 square inch
Step-by-step explanation:
Given:
Using net diagram
Length of cubic box = 10 inches
Width of cubic box = 6 inches
Height of cubic box = 8 inches
Find:
Surface area of cubic box
Computation:
Surface area of cuboid = 2[(lb) + (bh) + (hl)]
Surface area of cubic box = 2[(10)(6) + (6)(8) + (8)(10)]
Surface area of cubic box = 2[60 + 48 + 80]
Surface area of cubic box = 2[188]
Surface area of cubic box = 376 square inch
Josh lit a 14 in candle. She noticed that it wad getting an inch shorter every 30 minutes. Write an equation in y=mx+b form to medel this situation. Let x be the number of hours and y be the total height of the candle
Answers
Answer:
y = -1/30x + 14
Step-by-step explanation:
Height (changing by -1) is the dependent variable, therefore is represented by y
Time (changing by +30) is the independent variable, therefore is represented by x
14 = where we started from
Slope = Change in y / Change in x
Slope = -1/30x
Equation = -1/30x + 14
Hope this helps!
what should be subtracted from (1/2+1/3+1/4) to get -2
Answers
1/2 + 1/3 + 1/4 - x = - 2
6/12 + 4/12 + 3/12 - x = - 2
6 + 4 + 3 / 12 - x = - 2
13/12 - x = - 2
x = 13/12 + 2
x = 13/12 + 24/12
x = 37/12 Or x = 3 1/12
Answer:
x = 37/12 Or x = 3 1/12
Step-by-step explanation:
1/2 + 1/3 + 1/4 - x = - 2
6/12 + 4/12 + 3/12 - x = - 2
6 + 4 + 3 / 12 - x = - 2
13/12 - x = - 2
x = 13/12 + 2
x = 13/12 + 24/12
x = 37/12 Or x = 3 1/12
NO FILES OR LINKS PLEASE
Answers
2. 2:25 PM
3. 3:34 PM
4. 10:22 AM
Hope this helps! Feel free to mark brainliest please! ;D
Look at the graph below.
Which point can you add to the graph to make this graph NOT A
FUNCTION?
(2,6)
(5.3)
(7.5)
(8,8)
Answers
Answer:
B. (5, 3)Step-by-step explanation:
Given points:
(3, 5), (5, 8), (9, 7)The graph should have a same x-value with a different y-value.
From the list we have only point (5, 3) which makes this a non-functional relationship.
Correct choice is B
Points here are
(3,5)(5,8)(9,7)As per definition of function
Every domain has a unique rangeCheck option B
If we put than
The. f(5) would have 2 values 8 and 3
Which won't be a function
Which property of polynomial addition says that the sum of two polynomials is always a polynomial
Answers
Mike borrowed a sum of rs 9450 for 5 years at a rate of 6% per year. calculate the total amount that he had to pay.
Answers
Answer:
Step-by-step explanation:
principal=rs 9450
time=5 years
rate=6%
Interest=PTR/100
=9450*5*6/100
=283500/100
=rs 2835
Total amount=Interest+principal
=rs 2835+rs 9450
=rs12285
Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks. what linear eqution?
Answers
Let p = total pounds
Let w = number of weeks
248p - 2w= 10
Hope that helps :)
Quick plz help this is from Khan ( 40,90,X)
Answers
Answer:
Hello! answer: 45 degrees
Step-by-step explanation:
90 - 45 = 45 therefore x = 45 hope that helps!
Answer:
90 minus 45 equals 45 so x is 45 :)
Anyone know this?I need help
Answers
Answer:
One of the legs is missing; the leg missing is 16 inches long
Step-by-step explanation:
Hypotenuse is usually the longest leg and you'll because it's directly across the biggest angle (the biggest angle is the right angle so Leg C would be the biggest leg).
20² - 12² = x²
400 - 144 = x
400 - 144 = 256
√256 = 16
what is the chancr of rolling a 7 or a 9 on two dice .
Answers
Answer:
5/18 0r 27.77%
Step-by-step explanation:
I am assuming both are six-sided and have numbers 1-6 on each of the six sides. There are 36 possible roll combinations. Of the 36, four result in 9 and six result in 7. Therefore there is a 10/36 chance of rolling a 7 or a 9. That can be simplified however by dividing by two on both numbers. That equals 5/18. As a percent you would divide 5 by 18 and get 0.2777. After that you multiply 0.2777 by 100 to get 27.77%.
A square garden has an area of 400 square feet. Each side of the garden is (x-10) feet in length.
Write an equation that represents the AREA of the garden
Find the value of x using the square root method
What is the length of the side of the garden?
Answers
Answer:
400 = (x - 10)²
x² -20x -300 = 0
x = 30 and x = -10
Length side of the garden = 20 feet
Step-by-step explanation:
Given:
Area of square garden = 400 square feet
Length side of the garden = (x - 10) feet
Find:
Length side of the garden
Computation:
Area of square = side²
Area of square garden = Length side of the garden²
400 = (x - 10)²
400 = x² -20x + 100
x² -20x -300 = 0
x² -30x + 10x -300 = 0
x(x - 30) + 10(x - 30) = 0
(x - 30)(x + 10) = 0
So,
x = 30 and x = -10
Use x = 30 positive number
Length side of the garden = (x - 10) feet
Length side of the garden = (30 - 10) feet
Length side of the garden = 20 feet
Help‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
Answers
Answer:
A x=1.5y i think
Step-by-step explanation:
What is the answer of this
Answers
NEED HELP ASAP
Solve the problem below.
(x - 5)² + 7y, if x = 144 and y = 16
Answers
Answer:
19433
Step-by-step explanation:
Substitute x = 144 and y = 16 into the expression
(144 - 5)² + 7(16)
= 139² + 112
= 19321 + 112
= 19433
----
Find the area of the figure F2 cm
2 cm
5 cm
5 cm
Answers
Answer:
the answer would be 20cm^2 i took a quiz.
Step-by-step explanation:
1.
40cm
40cm
85cm
Can a one metre rod fit inside of the box?
Explain your answer
Answers
Answer:
donknow
Step-by-step explanation:
8
Veronica is trying to prove 4ABC = ADEF.
B
E
A A
F
с
A А
D
Which statement would not help to prove the two
triangles congruent?
O A. ZC = ZF
O B. BC = EF
C. ZA ZD
. E
OD. DE = AB
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\triangle ABC = \triangle DE F[/tex]
Required
Which would not prove the similarity
[tex]\triangle ABC = \triangle DE F[/tex] implies that:
The following angles are congruent
[tex]\angle A = \angle D[/tex]
[tex]\angle B =\angle E[/tex]
[tex]\angle C =\angle F[/tex]
And the following lengths are congruent
[tex]AB = DE[/tex]
[tex]BC =EF[/tex]
[tex]CA = FD[/tex]
The options are not clear; so, it's a bit difficult to select the correct option.
Any of the options that is different from the above list of 6 congruent pairs is the answer to your question.
A sphere used in a contest has a
diameter of 9 feet. What is the
volume of the sphere?
Answers
Answer:
382 ft³ (3 s.f.)
Step-by-step explanation:
[tex]\boxed{volume \: of \: sphere = \frac{4}{ 3}\pi {r}^{3} }[/tex]
Radius= diameter ÷2
Rdaius of sphere
= 9 ÷2
= 4.5 ft
Volume of sphere
[tex] = \frac{4}{3} (\pi)(4.5)^{3} [/tex]
= 382 ft³ (3 s.f.)
Write the equation of the line, in slope-intercept form y=mx+b, that has a slope of 9 and a y-intercept of -3.
Answers
Step-by-step explanation:
We are supposed to write the equation in slope intercept form of a line . Firstly we know the slope intercept form as ,
[tex]\implies\sf y = mx + c [/tex]
Where ,
m is the slope c is the y Intercept .Now by question , the given data is ,
m = 9 c = -3On substituting the respective values we have ,
[tex]\sf\implies y = 3 * x + (-3)\\\\\sf\implies\red{ y = 3x - 3 } [/tex]
Hence the slope intercept form is y = 3x - 3 .
Shawn wants to buy a bowling ball that typically costs $120. Currently, the bowling ball is on sale for 13% off. As a member of the bowling league, Shawn is also entitled to an additional 15% discount off the sale price of the bowling ball. If the sales tax in Shawn's state is 7.5%, what is the final price that Shawn will have to pay for the bowling ball?
Answers
Answer:
95.40
Step-by-step explanation:
120x.13=15.60. discount
120-15.60=104.40 sales price
104.40x.15=15.66 additional discount
104.40-15.66=88.74 additional sales price
88.74x.075=6.66 sales tax
88.74+6.66=95.40 total price