CSC(4x) - cot(4x)
CSC(4x) + cot(4x) =

A. tan(2x)
B. cot(4x)
C.tan^2(2x)
D. tan^2 (4x)

Answers

Answer 1

Answer:

c. tan^2(2x)

Step-by-step explanation:

Answer 2

The required simplified expression is given as tan²(2x). Option c is correct.

[CSC(4x) - cot(4x) ] / [CSC(4x) + cot(4x) to be simplified.

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.

[tex]= [csc(4x) - cot(4x)] / [csc(4x) + cot(4x)] \\= [1/sin4x - cos4x/sin4x] / [1/sin4x  + cos4x/sin4x]\\= [(1-cos4x)/sin4x] / [(1+cos4x) /sin4x] - - - - (1)[/tex]
Here,
[tex]1 - cos4x = 2sin^24x[/tex]

 [tex]sin4x = 2sin2xcos2x,\\ 1+cos4x = 2cos^22x[/tex]
now put the value in equation 1
[tex]= [(2sin^22x)/2sin2xcos2x] / [(2cos^22x) /2sin2xcos2x] \\= [(sin2x)/cos2x] / [(cos2x) /sin2x] \\=tan2x/cot2x\\=tan^22x[/tex]

Thus, the required simplified expression is given as tan²(2x). Option c is correct.

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Related Questions

Which of the following is the value of a when the function f(x)=3|xl is written in the standard form of an absolute value
function?

Answers

F(x)=|x| is the simplified version of an absolute function such as the parent function

Answer:

D = 3

Step-by-step explanation:

edge 2022

Which expression is equivalent to
(X^1/4 y^16)^1/2?

Answers

Answer:

[tex]x^{\frac{1}{8} } y^{8}[/tex]

Step-by-step explanation:

Given :

[tex](x^\frac{1}{4} y^{16} )^{1/2}[/tex]

Now,

[tex](x^\frac{1}{4} y^{16} )^{1/2}\\x^{\frac{1}{8} } y^{8}[/tex]

Therefore, expression is equivalent to [tex]x^{\frac{1}{8} } y^{8}[/tex]

If i get 3486.25 points out of 4175 total amount of points, what would be my grade

Answers

The answer would be about 85.5%

Answer:

It would be B

Step-by-step explanation:

if you divide 3486.25 divided by 4175 it will equal 0.83 which equal 83% it can be ethier a B or a B-

Mark as braainllest if it helps!!!

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

the answer to the question is d (8,85)

Answer: D since the equation would be y=10x

Step-by-step explanation:

enjoy points cuz I lost my Crown :(​

Answers

Answer:

You know what :)

Step-by-step explanation:

I feel bad so if you ever need help you can ask me! :)

Answer:

hi yaar, mai hu indian

nice too meet you

my name Ankit kumar

any doubt

A polygon with 6 sides is shown. No angles go inside of the shape.
What type of polygon is shown?

convex heptagon
concave heptagon
concave hexagon
convex hexagon

Answers

Answer:

d. convex hexagon

Step-by-step explanation:

i got a 100 edge 2021

The type of Polygon shown as given in the question with its' shape is called; Convex Hexagon

How to define Polygons?

We are told that the polygon has 6 sides and that no angle goes inside the shape.

Now, a polygon with 6 sides is called a hexagon. However, in this case the name will be a convex hexagon because it will have a hexagonal shape with no interior angle greater than 180°.

Despite that said, regular hexagons will always be called convex hexagon while Irregular hexagons can also be called convex hexagons.

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What is the total area of the garden?

Answers

I can not the see the text
It’s just blank I will help but there’s nothing.

may I please have help from anyone thank you so much !

Answers

Answer:

Hello! answer:

largest volume: Rectangle C

smallest volume: Rectangle A

Step-by-step explanation:

Rectangle A: 120

Rectangle B: 160

Rectangle C: 224

Rectangle D: 189

Hope that helps!

(4x^2+3x −5)+(x^2 −7x+10)

Answers

Answer:

[tex]5x^{2} -4x +5[/tex]

Step-by-step explanation:

Jwywwusuwuhsjwiwiwiwiwjnexbdnjsjsjejjeje

help me please

The following box plot represents the average heights of the students in Mr. Taylor's fourth grade math class.

What is the median of this data set and what is the interquartile range of this data set?

Answers

Step-by-step explanation:

the median = 140

the interquartile range = 141-138 = 3

Answer: The other guy is correct. You guys should give him 5 stars and Mark him brainliest.

44 : 20 is equivalent to __ : 5
20 : 15 is equivalent to 4 : __
5 : 2 is equivalent to __ : 8

Answers

44 : 20 is equivalent to 11 : 5
To check:
when u multiply both sides in the ratio 11 : 5 by 4, you will get 44 : 20
20 : 15 is equivalent to 4 : 3
To Check:
Multiply both sides in the ratio 4 : 3 by 5, u get 20 : 15

5 : 2 is equivalent to 20 : 8
Multiply both sides in the ratio 5 : 2 by 4 to get 20 : 8

MARK ME BRAINIEST! Tysm

What are the coordinates of the point on the directed line segment from (1,−6) to (8,8) that partitions the segment into a ratio of 4 to 3?

Answers

The coordinate of the point  on the directed line segment that partitions the segment into a ratio of 4 to 3 is (29/7,50/7)

How to determine the coordinate at the partition?

The given parameters are:

A = (-1,6)

B = (8,8)

Ratio, m : n = 4 : 3

The coordinate at the partition is calculated using:

[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1,my_2 + ny_1)[/tex]

So, we have:

[tex](x,y) = \frac{1}{4 + 3} * (4 * 8 + 3 * -1,4 *8 + 3 * 6)[/tex]

Evaluate

[tex](x,y) = \frac{1}{7} * (29,50)[/tex]

Evaluate the product

(x,y) = (29/7,50/7)

Hence, the coordinate of the point is (29/7,50/7)

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The midpoint of segment AB is (6,5). The coordinates of point A are (7,10). Find the coordinates of point B.

Answer options: (5,10) (8,15) (-3,7)

Answers

Step-by-step explanation:

none of the options is correct

the answer is (5,0)

Answer:

option 2 : ( 8 , 15 )

Step-by-step explanation:

A ( 6 , 5 )

Mid point ( 7, 10)

B ( x , y )

x coordinate of B

[tex]Mid point = \frac{6 + x }{2}\\\\7 = \frac{6 +x }{2}\\\\7 \times 2 = 6+x\\\\14 - 6= x\\\\8 = x[/tex]

y coordinate of B

[tex]midpoint = \frac{y +5 }{2}\\\\10 = \frac{y +5 }{2}\\\\10 \times 2 = y + 5\\\\20 - 5 = y \\\\15 = y[/tex]

B = ( 8 , 15)

In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student plays a sport given that they play an instrument?

Answers

8 students out of 27

the total of students is 27 out of the 27 students 19 dont play and instrument and a sport

Answer the questions please and no links

Answers

Answer:

3. would be one above the negative 5

4. 3 up from positive 4

5. would be on the negative 2

write the letters on those points respectively.

Erin's jewelry box is in the shape of a rectangular prism. The measurements of the jewelry box are length 5 in, width 10 in, and height 3 in. What is the surface area of Erin's jewelry box?

Answers

Answer:

190 square inches

Step-by-step explanation:

Surface area of a rectangular prism formula is given as

2(LW + LH + WH)

Where

L = Length = 5in

H = Height = 3in

W = Width = 10in

Hence:

Surface area = 2(5 × 10 + 5 × 3 + 3 × 10) square inches

= 2 × (50 + 15 + 30) square inches

= 2 × (95) square inches

= 190 square inches

Therefore, the surface area of Erin's jewelry box is 190 square inches

(please help) What are the coordinates of the point on the directed line segment from (-10, -5) to (5, 1) that partitions into ratio of 1 to 2?

Answers

Answer:

P(-5,-3)

Step-by-step explanation:

directed line segment  AB where

A(-10,-5) and B(5,1)

Vector of segment AB = B-A = <15,6>

Add one third of the vector length to A to get the partition point, P

A(-10,-5) + <15,6>/3 =A(-10,-5)+<5,2> = P(-5,-3)

I need help please

Damian invested $12,000 in an account paying an interest rate of 5 1/4% compounded daily. Lillian invested $12,000 in an account paying an interest rate of 5 3/8% compounded annually. After 12 years, how much more money would Damian have in his account than Lillian, to the nearest dollar?

The one that are 1/4 and 3/8 see them as fraction just so y’all know

Answers

Answer:

I believe the answer is 275,862,600, but I haven't done this in forever so I'd wait for someone to double check it.

The yearbook staff ordered 8 boxes in the first order. They end up with a total of 168 yearbooks after both orders.

Answers

Answer:

8/168=21

Step-by-step explanation:

21 yearbooks divide 168 by 8.


Which is an equation of a circle with center (2,7) and radius 4?
(x - 2)2 + (y - 7)2 = 4
Part
(x - 7)2 + (y - 2)2 = 16
5. Part
(x + 2)2 + (y + 7)2 = 4
d
(x - 2)2 + (y - 7)2 = 16

Answers

Answer:

16 = (x-2)² + (y-7)²

Step-by-step explanation:

see image

Solve the system of equations given below. (Please--help..)

Answers

Step-by-step explanation:

x+2y=-4

2x+3y=1

The difference between this two equations is x+y so:

x+y

=1-(-4)

=1+4

=5

I'm not sure what the question is asking to find, but I have already helped you find the value of x+y, good luck with the rest I guess :))

Please help i'm struggling with this!It's urgent!

Answers

Answer:

m=1/2

Step-by-step explanation:

coordinatr points are:

(6,4) = (x1,y1)

(8,5) = (x2,y2)

slope(m) = y2-y1/x2-x1

=5-4/8-6

=1/2

Whats the surface area of a cube whose volume is 1664??​

Answers

Answer:

A≈842.53

:))))

Volume = side³

=> 1664 = side³

=> ³√1664 = side

=> 4 (³√26) = side

=> 4 (26^1/3) = side

Surface area = 6 side²

=> Surface area = 6 × [4 (26^1/3)]²

=> Surface area = 6 × 140.42 [approximately]

=> Surface area = 842.54 [approximately]

Ramos spends $36.00 on a t-shirt and spends $20.00 on a hot dog.
Daniels spends $50.00 on shoes. Ramos has a bank account with a balance
of $100. How much will the purchase cost him? What would Ramos’ bank
balance be after all the debts were paid?

Answers

Answer:

$-6

Step-by-step explanation:

Spend

$36 on t-shirt

$20 hot dog

$50 shoes

Ramos money- $100

$36+$20+$50=$106

$100-$106=$-6

***Don't forget units***

Hope this was useful :)

which values from the set 5 7 9 11 13 make the inequality w-4<8 true

Answers

Answer:

5, 7, 9, 11

Step-by-step explanation:

w-4<8

w<8+4

w<12

the inequality is true if w is smaller than 12

so 5, 7, 9, 11 are the answers

help with question please​

Answers

Answer:

i dont know

Step-by-step explanation:

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

24 sq. m

Step-by-step explanation:

Area of the grass part = area of the park - area of sand area

Park:

l = 6 m  ; w = 5 m

Area of park = l * w = 6*5 = 30 sq.m

Sand :

l = 3 m ; w = 2 m

Area of sand part = 3*2 = 6 sq.m

Area of grass part = 30 - 6 = 24 sq.m

Answer:

24 square meters is the area of the grass part.

Step-by-step explanation:

Multiply both sides of the "sand" section, which are 2 and 3. You get 6.

Now multiply two numbers, 5 and 6, to find the square meters of the whole area, including grass and sand, you get 30.

Now since you only need the area of the grass area, you subtract the area of the sand area, which is 6 sq meters, from the whole area, 30 sq meters, leaving you with 24 square meters as the answer.

Help find value of X please!

Answers

Answer:  21.75  (choice D)

=========================================================

Explanation:

The mixed number 7 & 1/4 converts to the decimal form 7.25, since 1/4 = 0.25

The ratio 1:7.25 means that we'll multiply the smaller triangle's sides by the scale factor 7.25 to get the larger corresponding side

Meaning that the value of x is 3*7.25 = 21.75

This converts to the mixed number 21 & 3/4

Answer:

D

Step-by-step explanation:

which sum or difference is modeled by the algebraic tiles?

Answers

Answer:

C

Step-by-step explanation:

Find (-4) for f(x) = 9(3)^x
A. -108
B. 1/3
C. -729
D. 1/9

Answers

Answer:

D

Step-by-step explanation:

9(3)^-4

3^2 × (3^-4)

in algebraic expression a^n × a^m = a^n+m

3^2+(-4)

3^-2

but 3^-2 = 1/3²

1/3²= 1/9

The option (4) is correct i.e., when [tex]x=-4[/tex] then

[tex]f(x) = 9(3)^x\\\\f(x)=\frac{1}{9}[/tex]

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]f(x)=9(3)^x\\\\\\x=-4\\\\\\f(-4)=9(3)^{-4}\\\\f(-4)=\frac{9}{(3)^4}\\\\f(-4)=\frac{9}{81}\\\\f(-4)=\frac{1}{9}[/tex]

Hence, the option (4) is correct i.e., when [tex]x=-4[/tex] then

[tex]f(x) = 9(3)^x\\\\f(x)=\frac{1}{9}[/tex]

To know more about the equation

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