Select the correct answer from each drop-down menu.

(cos2x-cos4x)/(sin2x+sin4x)=

a. cot x

b. tan x

c. sin x

d. cos x


(cos2x+cos4x)/(sin2x-sin4x)=

a. cot x

b. -cot x

c. sin x

d. -tan x

Answers

Answer 1

Answer:

[tex](b)\\\tan x, \cot x[/tex]

Step-by-step explanation:

Given

trigonometric function is

[tex]\dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}[/tex]

Applying trigonometric formulae

[tex]\Rightarrow \cos C-\cos D=-\sin (\dfrac{C+D}{2})\sin (\dfrac{C-D}{2})\\\\\Rightarrow \sin C+\sin D=\sin (\dfrac{C+D}{2})\cos (\dfrac{C-D}{2})[/tex]

[tex]\Rightarrow \dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}=\dfrac{2\sin 3x\cdot \sin x}{2\sin 3x\cdot \cos x}\\\\\Rightarrow \dfrac{\sin x}{\cos x}=\tan x[/tex]

option (b) is correct

[tex]\Rightarrow \dfrac{\cos 2x+\cos 4x}{\sin 2x-\sin 4x}=\dfrac{2\cos 3x\cdot \cos x}{2\cos 3x\cdot \sin (-x)}=-\cot x[/tex]


Related Questions

I am the Real Da Baby
LESS GOOO!

Answers

Answer:

yuuhhhhh

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

I am da real baby :) lol

Harper invested $930 in an account paying an interest rate of [tex]\frac{19}{2}[/tex]% compounded monthly. Zoey invested $930 in an account paying an interest rate of [tex]\frac{37}{4}[/tex] % compounded continuously. To the nearest dollar, how much money would Harper have in her account when Zoey's money has tripled in value?

Answers

Answer:2861

Step-by-step explanation:

A cuboid has sides of length 10cm 6cm and 7cm

Find the total surface area of the cuboid

Answers

i do not know guy i just want those points...thanx for those lol

well but i do know this i had the exam of maths so i am explaining it to u but u needa mark this as the brainliest answer

Answer:

Total surface area of a cuboid is 376 square centimeter.

Step-by-step explanation:

Given : A cuboid of length 10 cm breadth 8 cm and height 6 cm.

To find : The total surface area of a cuboid?

Solution :

The total surface area of a cuboid is  

Where, l is the length l=10 cm

b is the breadth b=8 cm

h is the height h=6 cm

Substitute the value in the formula,

Therefore, Total surface area of a cuboid is 376 square centimeter.

pls help 11111111111111

Answers

Answer:

g(x) = [tex]2^{x}[/tex] + 4

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 4 units up , then

g(x) = [tex]2^{x}[/tex] + 4

Answer:

the answer is B g(x)=2^x+4

Step-by-step explanation:

find the value of given expression

[tex](55 - 54) {}^{2} [/tex]

Answers

Answer:

(55-54)²=1²=1 is your answer

Answer:

your answer will be 1

Step-by-step explanation:

......

At a school social, parents attended with their children. Everyone had a choice between a sweet snack and a salty snack. Here is a two-way table showing the number of adults and children who made each choice of snack.

sweet snack salty snack total
adult 57 88 145
child 77 31 108
total 134 119 253

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

what us the answe

re

Which mixed number is equal to 27/6?

Answers

Answer:

4 [tex]\frac{3}{6}[/tex]

Step-by-step explanation:

how many faces does the following shape have​

Answers

Answer:

6.

Step-by-step explanation:

Faces in other words is the number of individual shapes on one shape. In this case, how many rectangles is on this shape. Hope this helps have a good day!

Answer:

rectangle is

Edges=12

Faces=6

Vertices=8

Solve the following values for x and y :

Answers

Answer and Step-by-step explanation:

2(5x - 5) = 6x + 50

Distribute the 2 to the 5x and -5.

10x - 10 = 6x + 50

Add 10 to both sides, and subtract 6x from both sides.

4x = 60

Divide both sides by 4.

x = 15

5y + 5 = 7y - 9

Subtract 5 from both sides, and 7y from both sides.

-2y = -14

Divide both sides by -2.

y = 7

#teamtrees #PAW (Plant And Water)

what is 2 1/2 times 1 2/8

Answers

Answer:25/8 or if mixed number 3 1/25

Step-by-step explanation:

What is the answer to this question (hurry plz)

Answers

Answer:

not proportional

Step-by-step explanation:

Tony's town had an election last month. 180 people voted in the election and 720 did not vote. What percentage of the people voted?

Answers

20% if the town.

Hope this helps!

Answer:

20%

Step-by-step explanation:

180 + 720 = 900 total people in town

180/900 or 180 ÷ 900 = 0.2 or 20%

Hope this helps!

Can you please help me with this problem.

Answers

Answer:

C

Step-by-step explanation:

Calculator did it lol

Answer this pls thank u,

Answers

The answer is D, the yellow

Please help me



In a city all the houses are either three or four storeyed the ratio of the number of three storyed building to four storeyed building is 5:3 if the total number of buildings is 488 find the number of four storeyed buildings. ​

Answers

5:3 time 488
Get the answer using calculator please

For i = V-1, what is the sum (7 + 3i) + (-8 + 9i)?

Answers

Answer:

12v-3

Step-by-step explanation:

The sum of (7 + 3i) + (-8 + 9i) is 12V - 13

3(2x-4)-8=5+x
MUST SHOW WORK

Answers

Answer:

5

Step-by-step explanation:

3(2x-4)-8=5+x

6x-12-8=5+x

6x-x-20=5

5x-20=5

5x=5+20

5x=25

x=25/5

x=5

Sam is making a blanket and needs 1/3 ball of yarn for each 1/2 inch section. How many balls of yarn will use to make 6 inches of the blanket

Answers

Answer:

12 inches

Step-by-step explanation:

What is the resulting equation when the expression for y in the second equation is substituted into the first equation-3x+2y=-3
Y=4x+1

Answers

Answer:

x=-5/11, y=-9/11. (-5/11, -9/11).

Step-by-step explanation:

3x+2y=-3

y=4x+1

---------------

3x+2(4x+1)=-3

3x+8x+2=-3

11x=-3-2

11x=-5

x=-5/11

y=4(-5/11)+1

y=-20/11+11/11

y=-9/11

Grade 10 math help please. Please show work

Answers

Answer:

43.94?

Step-by-step explanation:

I think if you use inverse cos you should get the correct number. So, to find cos, you need to know the adjacent side and the hypotenuse. Here, the reference angle would be the person holding the kite. The distance from the person to the barn is the adjacent side, which is 18. The string of the kite, I assume, would be 25.

cos(∅) = [tex]\frac{18}{25}[/tex]

cos(∅) = 0.72

cos⁻¹(0.72) = 43.94

I don't know if that's what you're looking for, but... If it's not correct, lmk so I can rewrite it. :)

Maria is playing with a scale. Two red weights and a 5-ounce weight exactly balance a blue weight. And three red weights and a blue weight exactly balance a 10-ounce weight. What weight, in ounces, would balance a red

weight and two blue weights?

Answers

Answer: 15 ounces
Explanation:

help please i will give brainlist

Answers

Answer:

Angle 1 is 67 and Angle 2 is 46

Step-by-step explanation:

Given that R=7x+5Y find Y when X=9 and R=35 give your answer as an improper fraction in its simplest form


Please help

Answers

Answer:

y = -28/5

Step-by-step explanation:

R = 7x +5y

35 = 7(9) + 5y

35 = 63 +5y

-5y= 63- 35

-5y/-5 = 28/-5

Y = -28/5

Answer:

Y = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Given

R = 7X + 5Y ← substitute X = 9, R = 35

35 = 7(9) + 5Y

35 = 63 + 5Y ( subtract 63 from both sides )

- 28 = 5Y ( divide both sides by 5 )

- [tex]\frac{28}{5}[/tex] = Y

Whats the answer to this question lol

Answers

Answer:

1/12

Step-by-step explanation:

Multiply 1/2 x 1/6 = 1/12

What is the nth term rule of the linear sequence below?
5,8,11,14,17

(btw it says the nth term not the 9th.)

Answers

9514 1404 393

Answer:

  an = 5 +3(n -1)

Step-by-step explanation:

The n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Here, you have first term a1=5 and common difference d=8-5=3, so the n-th term is ...

  an = 5 +3(n -1)

_____

If you like, you can simplify this to ...

  an = 5 +3n -3

  an = 3n +2

Answer:

it's 3n-3

Step-by-step explanation:

simplify as far as possible:3x+4y+7y​

Answers

Answer:

3x+4y+7y = 3x + 11 y

Step-by-step explanation:

We need to simplify the given expression i.e.

3x+4y+7y

We know that, the like terms gets add up i.e. the sum of 4y and 7y equals 11 y

So,

3x+4y+7y = 3x + 11 y

Hence, the final simplification should be 3x + 11 y.

Y+3= -5(x-1) write the equation in slope intercept form

Answers

Answer: The equation in slope-intercept form: [tex]y=-5x+2[/tex]

Step-by-step explanation:

The given equation of a line : [tex]y+3= -5(x-1)[/tex]

The equation of a line in slope -intercept form: y=mx+c, where m= slope , c=y-intercept.

We first use distributive property(a(b+c)=ab+ac) to simplify the given equation, we get

[tex]y+3=-5x+5[/tex]

Subtract 3 from both sides, we get

[tex]y=-5x-2[/tex]

Hence, the equation in slope-intercept form: [tex]y=-5x+2[/tex]

A new car is purchased for 22300 dollars. The value of the car depreciates at 10.25% per year. What will the value of the car be, to the nearest cent, after 6 years?

Answers

Answer:

$11654 approx

Step-by-step explanation:

Given data

Principal amount =  22300 dollars

Rate= 10.25%

time= 6 years

The expression for the decrease is given as

A=P(1-r)^t-----------Note the negative sign is because of the decrease

substitute

A= 22300(1-0.1025)^6

A=22300(0.8975)^6

A=22300*0.5226

A=$11653.98

Hence the new value is $11654 approx

Assume that AABC= APQR. Which of the following congruence statements
are correct? Check all that apply.
A. BC = PO
B. ZRE LC
C. ZA= 20
D. AC = OR
E. AB = PQ
F. ZCE ZP

Answers

Answer:

check B and E

Step-by-step explanation:

All the correct congruence statements are,

⇒ ∠R = ∠C

⇒ AB = PQ

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangles ABC and PQR are congruent.

Now, By definition of congruency we get;

All the correct congruence statements are,

⇒ ∠R = ∠C

⇒ AB = PQ

Thus, All the correct congruence statements are,

⇒ ∠R = ∠C

⇒ AB = PQ

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Solve the system:


x+4y=1


3x+5y=10

Answers

Answer:

[tex]x=6.25\\y=-1.25[/tex]

Step-by-step explanation:

[tex]3x+5y=10\\x+3y=1\\\\[/tex]

Second equation times 3:

[tex]3x+9y=3[/tex]

1st equation minus equation above:

[tex]-4y=7\\y=-7/4[/tex]

Insert to equation:

[tex]3x+\frac{-35}{4}=10\\12x-35=40\\12x=75\\x=75/12=6.25[/tex]

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