cscy-siny=cosy(coty)

Answers

Answer 1

Step-by-step explanation:

[tex]\csc y - \sin y = \dfrac{1}{\sin y} - \sin y[/tex]

[tex]\:\:\:\:\:\:\:\:=\dfrac{1 - \sin^2y}{\sin y}[/tex]

[tex]\:\:\:\:\:\:\:\:= \dfrac{\cos^2y}{\sin y}[/tex]

[tex]\:\:\:\:\:\:\:\:=\cos y \left(\dfrac{\cos y}{\sin y}\right)[/tex]

[tex]\:\:\:\:\:\:\:\:= \cos y \cot y[/tex]


Related Questions

Two entrepreneurs imported crafts for resale. The ratio of their investment was
3:5. What was each person's share of the $12,000 sales income?

Answers

Answer:

$4500 and $7500

Step-by-step explanation:

The share has the same ratio as investment:

3x + 5x = 120008x = 12000x = 12000/8x = 1500

The shares are:

3*1500 = 45005*1500 = 7500

PLEASEE HELP

Determine the unknown angle measure for each triangle

A. m
B. M

Answers

Answer: total sum of 180°.

Step-by-step explanation:


[tex]5 {x}^{2} - 2x + 3x = 9 {x}^{2} + 9x[/tex]
please fast please fast​

Answers

Answer:

[tex]5 {x}^{2} - 2x + 3x = 9 {x}^{2} + 9x \\ 5 {x}^{2} + x = 9 {x}^{2} + 9x \\ 5 {x}^{2} - 9 {x}^{2} = 9x - x \\ - 4 {x}^{2} = 8x \\ - 4x = 8 \\ x = \frac{ - 8}{4} = - 2 \\ x = - 2 \\ thank \: you[/tex]

Answer:

x = -2

simplify:

-4x^2 - 8x = 0

10 points right now for right answer

Answers

Answer:

x = 200

Step-by-step explanation:

Answer:

x=200 because it really do be like day sometimes

Step-by-step explanation:

edge trust me

Good morning! CAN SOMEBODY HELP ME ASAP THIS IS NY LAST QUESTION!

Answers

Answer:

3.......................

AC is a straight segment as shown in the diagram below. If the distance between points A and C is 67 miles, determine the distance between points A and B.

Answers

Answer:

43

Step-by-step explanation:

A hot air balloon is at an elevation of 1,250 feet. Its elevation begins to change at a rate of -22.5 feet per minute. How many minutes will it take the balloon to descend to an elevation of 935 feet? Use the Distance Formula: d = rt

Answers

Let y represent the number of feet and x represent the number of minutes.  Convert 22 1/2 to decimal form: 22.5

 

y = -22.5x

 

Plug in -315 for y

 

-315 = -22.5x

 

divide both sides by -22.5

 

14 = x

 

It will take 14 minutes.

What is another way to write 4^6?


6+6+6+6

4+4+4+4+4+4

4×4×4×4×4×4

6×6×6×6

Answers

Hello there!

Another way to write 4^6 is 4×4×4×4×4×4.

Because 4^6 means 4 times 4 times 4 times 4 times 4 times 4.

I hope this helps you!

~Just a joyful teen

[tex]*SilentNature*[/tex]

[tex](GraceRosalia)[/tex]

Answer:

4,000,000

is this powers of ten? plz tell me

Help help help please

Answers

Answer:

[tex] \frac{ {6}^{7} }{ {6}^{3} } = {6}^{7 - 3} = {6}^{4} [/tex]

what is 0.65 as a fraction or mixed number in simplest form?

Answers

Answer:

13/20

Step-by-step explanation:

0.65 = 65/100

both are multiples of 5, so simplify:

65/100 = 13/20

-Chetan K

What is i^-2

please help urgently
1
-1
i
-i

Answers

-1 is the answer
This is because put 1/i^2 then reduce to 1/-1=-1

Can someone do the bottom awnser pls

Answers

Cody chose a because It was the first answer though

Find the volume of a box that has a length of 7 cm, a width of 9 cm, and a height of
11.2 cm.

Answers

The answer is 705.6 cm^3.

Remember that volume of a box, rectangular prism, is: V = LWH.

So, V = 7(9)(11.2) = 705.6 cm^3

Plz help me with questions 4

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) One way you can try to identify the pattern is to look for the differences between the images shown, then divide those differences by 2. For example, the total number of vertical dots is 2, then 4 in patterns 2 and 4. This suggests the total number of vertical dots is equal to the pattern number..

The total number of horizontal dots is 4, then 6 in patterns 2 and 4. This suggests that the number of horizontal dots increases by 1 in each pattern. This would mean pattern 1 would have 3 total horizontal dots and 1 total vertical dot. It will look like one row of 3 dots.

Pattern 3 will have 5 total horizontal dots and 3 total vertical dots. The sequence of patterns will look like the attachment.

__

b) The total number of dots in each pattern is 2×(pattern number) +1. Then the number of dots in Pattern 7 will be 2×7 +1 = 15 dots.

If f(x) = 2x and g(x) = 5x + 2, what is (f + g)(x) when x = 3?

Answers

Answer:

f÷g=2x+5x+2=7x+2

x=3

7×3+2=21+2=23

The value of  (f + g)(x) when x = 3, if f(x) = 2x and g(x) = 5x + 2, is 23.

What is function?

The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).

Given:

f(x) = 2x and g(x) = 5x + 2

Calculate  (f + g)(x)  as shown below,

f(x) + g(x) = 2x + 5x +2

f(x) + g(x) = 7x + 2

Put x = 3

f(3) + g(3) = 7 × 3 + 2

f(3) + g(3) = 23

To know more about function:

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Find all real solutions of the equation (x- 4)^2 = 9.

Answers

Answer:

x = 1 and 7

Step-by-step explanation:

I GOTCHU!

x-4 = 3, no matter what

x can be 1 or 7!

Reggie records the lengths of different fabrics he has.

Answers

1/8+1/4+3(1/2)+2(5/8)+4(3/4)=49/8
49/8-11/4=27/8

Reggie is left with [tex]\dfrac{27}{8}[/tex] yarns of fabric.

The total length of fabrics =  [tex]\dfrac{1}{8}+\dfrac{1}{4}+3\dfrac{1}{2}+2\dfrac{5}{8}+4\dfrac{3}{4}[/tex]

                                            =  [tex]\dfrac{1}{8}+\dfrac{1}{4}+\dfrac{7}{2}+\dfrac{21}{8}+\dfrac{19}{4}[/tex]

The LCM of 4 and 8 is 8.

So, the expressions will be simplified by adding all the terms with the same denominator.

                      = [tex]\dfrac{49}{8}[/tex]

The fabric used by Reggie = [tex]2\dfrac{3}{4}[/tex]

                                              = [tex]\dfrac{11}{4}[/tex]

The fabric left can be calculated by subtracting the total fabric he used from the total fabric he had.

Fabric left =[tex]\dfrac{49}{8} - \dfrac{11}{4}[/tex]

The LCM of 8 and 4 is 8

Fabric left = [tex]\dfrac{49}{8} - \dfrac{22}{8}[/tex]

                 =  [tex]\dfrac{27}{8}[/tex]

So, he is left with [tex]\dfrac{27}{8}[/tex] yarns of fabric.

Learn more about expressions here :

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Please answer question A) please ASAP ☺️

Answers

Answer:

Given function:

P(n) = 0.4n + 5.7

Find its inverse:

x = 0.4[tex]P^{-1}[/tex](x) + 5.70.4[tex]P^{-1}[/tex](x) = x - 5.7[tex]P^{-1}[/tex](x) = (x - 5.7)/0.4 [tex]P^{-1}[/tex](x) = x/0.4 - 5.7/0.4[tex]P^{-1}[/tex](x) = 2.5x - 14.25

a) Correct choice is B

[tex]P^{-1}[/tex](x) is the amount of vitamins n for a price of x dollars.

b) See above the equation of inverse function.

c) Find the value of inverse function when x = 8.3

[tex]P^{-1}[/tex](8.3) = 2.5*8.3 - 14.25 = 6.5 grams

7. Bob has saved 32 gummi bears. His mom
gives him 3 gummis every 2 days.
What is the rate of change?

Answers

3/2 is what I’m thinking

A contractor purchases 6 dozen pairs of padded work gloves for ​$80.64. He incorrectly calculates the unit price as ​$13.44 per pair for the expense report. What is the correct unit​ price? What is the​ error?

Answers

Answer:

it is $1.12 for each pair of gloves

Step-by-step explanation:

Correct price is 1.12 per pair of gloves. He did not multiply 6 groups of 12 pairs gloves for a total of 72 pairs of gloves.

help please i do not understand

Answers

Step-by-step explanation:

x. y=3x². y=3^x

0. 0. 1

1. 3 3

2. 12. 9.

hope this helps you. Just put the value of x in the equations of y.

Slove 4x - c = k for x

Answers

Answer:

[tex]x=\frac{k+c}{4}[/tex]

Step-by-step explanation:

this should be your answer

Please help me!!

20points!!

Answers

9514 1404 393

Answer:

  A) 1

Step-by-step explanation:

Let the distance from A to BC be represented by y, and the distance DE be represented by x. We can write some relations using the definition of the tangent of an angle, and the double-angle formula for tangent. The double-angles are complementary

Left angles

Call the smaller angle α. Then the larger angle is 2α.

  tan(α) = x/2

  tan(2α) = 2tan(α)/(1 -tan(α)²) = 2(x/2)/(1 -(x/2)²) = 4x/(4 -x²)

Right angles

  tan(β) = x/3

  tan(2β) = 2tan(β)/(1 -tan(β)²) = 2(x/3)/(1 -(x/3)²) = 6x/(9 -x²)

__

Angles 2α and 2β are complementary, so the product of their tangents is 1.

  (4x/(4 -x²))(6x/(9 -x²)) = 1

  24x² = (4 -x²)(9 -x²) . . . . multiply by the product of denominators

  x⁴ -37x² +36 = 0 . . . . . put in standard form

  (x² -36)(x² -1) = 0 . . . . . factor

Solutions to this equation are x = ±1 and x = ±6. Only positive values less than 1.25 can possibly satisfy the geometry. Hence x = DE = 1.

The length of DE is 1.

5715 divided by 84 into fraction

Answers

Answer:

lowest form is 1905/28 or 68 1/28 as a mixed number

Step-by-step explanation:

5715/84

÷3 from both sides

5715÷3=1905

5715÷3=28

HELPPPPP HELPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Month: no

(13,33)…. Yes

Time,distance: yes

(1,2)… no

Age, shoe size: no

(x,y) yes

Step-by-step explanation:

Step-by-step explanation:

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).

First row:

Months (input) and Days (output) = not a function. The month of February has two corresponding outputs: Days of 28 and 29.

{(13, 33), (17, 25), (22, 22), (25, 17), (33, 17)} = this relation is a function. Each input value (x-coordinate) corresponds to exactly one output value (y-coordinate).

Plot of Distance (mi) vs. Time (h): the graph represents a function. Each input value (x-coordinate) corresponds to exactly one output value (y-coordinate).

Second row:

{(1, 2), (5, 2), (5, 4), (7, 6), (11, 6), (11, 8)}: this relation is not a function. The input value of 5 has two corresponding output values: 2 and 4. The same goes with the input value of 11, which has two output values of 6 and 8.

Table of Age (x) and Shoe Size (y): does not represent a function. The x = 15 has two corresponding y-values: 10 and 10.5.

Diagram of x and y (bottom-left corner): this relation represents a function. Each input value corresponds to exactly one output value.

Please mark my answers as the Brainliest if you find this helpful :)

the anser is the second picture on moby max

Answers

24Y +20 4K X +69+82+93 is the rate equation to 1.26 9.83.29 and a hint of 12345 624 or 5.6 -5-6.3

The normal cruising speed of a certain airplane is about 260 m/sec. What is the speed in miles per hour? Round to the appropriate number of significant digits.

Answers

Answer: 582 miles per hour

Step-by-step explanation:

581.603 miles per hour

Round= 582

The speed of an airplane in miles per hour is 581.60 miles/hour.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Given the speed of an airplane  = 260 m/sec

Since,

1 mile = 1.60934 kilometer

1 km = 1000 meter

So,

1 mile = 1609.34 meter

1 m = (1/1609.34) mile

And,

1 hour = 360 seconds

1 s = (1/360)hour

So,

260 m/sec = 260 (3600/1609.34) miles/hour

⇒ 581.60 miles/hour.

Hence "The speed of an airplane in miles per hour is 581.60 miles/hour".

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For what values of x is f(x) = x a function?

Answers

Answer:

All real values of x.

Step-by-step explanation:

f(x) = x passes the line test, as it is a simple line with a slope of 1, so by that reasoning, f(x) = x is always a function.

A natural gas company charges a fixed customer fee of $ 12.60 every
month even if no natural gas is used. For every unit of natural gas used,
the customer is charged an additional $0.64.
a. Using x as the number of units used in a month and y as the total
monthly cost, write an equation

Answers

Y=12.60+0.64x

$0.64 is charged for each unit which is represented by x. Therefore .64 is multiplied by x. 12.60 is the charge you have no matter what every month. So if you don’t use any gas you would still pay $12.60.

y = 12.60 + 0.64x

Step-by-step explanation:

y = $12.60 + $0.64(x)

y = 12.60 + 0.64x

-5 -3 -8 what is the answer​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Simplification :

[tex] - 5 - 3 - 8[/tex]

[tex] - 16[/tex]

Answer:

-16

Step-by-step explanation:

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