simplify cos(2x)/ cos(x)-sin(x)

Simplify Cos(2x)/ Cos(x)-sin(x)

Answers

Answer 1

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

1.
40cm
40cm
85cm
Can a one metre rod fit inside of the box?
Explain your answer

Answers

Answer:

donknow

Step-by-step explanation:

Which property of polynomial addition says that the sum of two polynomials is always a polynomial

Answers

Maybe it is closure property

What is the answer of this

Answers

-3 ; 32 ; 45 ; 84 ; 9 ; -4 ; 15 ; 31 ; 0 ; -4

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 = -3

On 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 .

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!

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

Help‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️

Answers

Answer:

A x=1.5y i think

Step-by-step explanation:

The answer is: A. x=1.5y

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 range

Check option B

If we put than

The. f(5) would have 2 values 8 and 3

Which won't be a function

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

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

Here is the linear equation
Let p = total pounds
Let w = number of weeks

248p - 2w= 10
Hope that helps :)

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

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!

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

NO FILES OR LINKS PLEASE

Answers

1. 2:13 PM
2. 2:25 PM
3. 3:34 PM
4. 10:22 AM

Hope this helps! Feel free to mark brainliest please! ;D

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:

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.

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

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 :)

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

The answer is 16. Spinning an even number and flipping tails

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

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

The answer is 19433
----

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

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

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

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%.

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:

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

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.)

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

Area of the rectangle = x^2 + 8x + 15 square units

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

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

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