verify the following identity: sinx+cosx×cotx=cscx​

Answers

Answer 1
Left Hand Side :
sin
x
+
cos
x
cot
x
We know that
cot
x
=
cos
x
sin
x
Therefore
sin
x
+
cos
x
cot
x
=
sin
x
+
cos
x

(
cos
x
sin
x
)
=
sin
x
+
cos
2
x
sin
x
=
sin
2
x
+
cos
2
x
sin
x
(We know the Trigonometric Identity
sin
2
x
+
cos
2
x
=
1
)
=
1
sin
x
=
csc
x
(Because Cosecant is the reciprocal of Sine)
Hence Proved.

Related Questions

For adults, a bowling alley charges $3.75 for shoe rental and $5 per game. For children, the cost is $2.50 for shoe rental and $4 per game. What expression represents the total cost for one adult and one child to bowl g games?

Answers

Answer:

1x+1y= 9

x= adults y= children 9= the amount they have to pay to play a game if its 1 adult and 1 child

The expression represents the total cost for adults and children:-

Ca = $3.75 + 5g

Cc = $2.50 + 4g

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that for adults, a bowling alley charges $3.75 for shoe rental and $5 per game. For children, the cost is $2.50 for shoe rental and $4 per game.

For adults the expression will be:-

Ca = $3.75 + 5g

For children, the expression will be:-

Cc = $2.50 + 4g

Hence, the expression are Ca = $3.75 + 5g and Cc = $2.50 + 4g.

To know more about an expression follow

https://brainly.com/question/28487598

#SPJ2

What’s the percentage??

Answers

Answer:

165 a year

Step-by-step explanation:

A rectangle has a perimeter of 72 millimeters and a width of 8 millimeters. What is the length of this rectangle?

Answers

Answer:

28

Step-by-step explanation:

Since the perimeter is the width + width + length + length, we know that there 2 of the 8 millimeter width in the perimeter. So multiply 8 by 2, which is 16. So 16 of the 72 represents both widths. So subtract 16 from 72. You're left with 56, which represents 2 of the length. So divide 56 by 2, and you get one of the length, which is 28.

Answer:

28 ^^

Step-by-step explanation:

Good Luck!!!

ok I need help yall know it but I don't

Answers

Answer:

hope its right :)

Step-by-step explanation:

area=50

prim=6

area=50

prim=16

yes the answer above me is in fact correct

(X-5)^2 in quadratic standard form

Answers

(x-5)^2

x^2 - 10x + 25

If r and s are positive real numbers, which expression is equivalent to
,2/3,1/2
2
ОА. 32
B. 1/3,12
OC. 23,112
OD. 23,12
O E U
1/35112

Answers

Answer:

The answer is E

I got it right

Step-by-step explanation:

please help me for brainiest:(:(:(:(:(

Answers

Answer:

15. 1/3 (33%)

16. 1/6 (16.66%)

17. 1/2 (50%)

18. 1/2 (50%)

19. 1/1 (100%)

20. 0/1  (0%)

Step-by-step explanation:

Brampton is 70 kn due east of Abbott. The bearing of Corwood from Abbott is 015 degrees and from Brampton is 290 degrees. Calculate the distance between Corwood and Brampton to the nearest kilometres

Answers

I THINK YOU NEED OPEN MATH BOOK! ;)

A delivery truck is delivering 28 cases of paper to a store. Each case has 50 packs of paper. In each pack of paper there are 200 sheets,
Which expression represents the total number of sheets of paper on the truck?
O A. (28 x 50) + 200
O B. (28 +50) x 200
OC. 28 + 50 + 200
OD. 28 x 50 x 200

Answers

Answer:

a

Step-by-step explanation:

The answer is A because the reverse of 6.75 is negative 6.75.

Answers

Answer:

The is A as you say lol i don't know

What is this? 10 points !

Answers

Answer:

x= 114

Step-by-step explanation:

correspnding angles are equal.

I hope im right! :)

answer: 114
the corresponding angles are equal.

Enter the value of p so the expression 12 - 5n is equivalent to p(6 - 2.5n​

Answers

Answer:

2

Step-by-step explanation:

whats 8 over x-2 =24 over 7 in solving proportions NO LINKS

Answers

Answer:

[tex]x=\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{8}{x-2} =\frac{24}{7}[/tex]

[tex]x=\frac{1}{3}[/tex]

What is the perimeter of the rectangle?

Answers

Answer:

10 feet

Step-by-step explanation:

Perimeter of rectangle = 2l+2b

Area of the rectangle = l x b

Area of the rectangle = 4 square feet

possible factors of 4 = 2x2/4x1

So sides of the rectangle are 4 & 1 as 2&2 would make it a square

So perimeter= 2x4+2x1

= 8+2

= 10 feet

Find the expected value of the winnings from a game that has the following payout probability distribution. Round to the nearest hundreath.

Answers

Expected value is $20.20
Step-by-step explanation:
Here, we want to calculate the expected value
What we have to do here is to multiply the probability by the payout value; after which we add all values
Thus, we have the payout value as;
1(0.12) + 4(0.2) +6(0.38) + 8(0.2) + 10(0.1)
= 0.12 + 0.8 + 2.28 + 1.6 + 1

The expected value of the winnings from a game will be [tex]2.96[/tex] .

What is Probability ?

Probability is the ratio of the number of possible outcomes to the total number of outcomes.

we have,

Payout    [tex](\$) = 0,\ \ \ 1,\ \ \ 2,\ \ \ 5,\ \ \ 10[/tex]

Probability [tex]=0.12,0.2,0.38,0.2,0.1[/tex]

So,

To find the expected value,

Now,

Multiply payout values with its probability and sum these values,

i.e.

Expected value [tex]= (0*0.12)+(1*0.2)+(2*0.38)+(5*0.2)+(10*0.1)[/tex]

                          [tex]=0+0.2+0.76+1+1[/tex]

Expected value [tex]=2.96[/tex]

Hence, we can say that the expected value of the winnings from a game will be [tex]2.96[/tex] .

To know more about Probability click here

https://brainly.com/question/27579447

#SPJ2

The total surface area of rectangular solid is 130cm².If the solid is 7cm long and 5cm wide ,calculate the height

Answers

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

You already know the length and the width. That means you also know the area of the floor. 7 x 5 = 35. You divide 130 by 35. That will give you about 3.7. The height of the room is 3.7cm

Simplify the square root of (x^2 -6x+ 9) if x<-3

Answers

Answer:

x^2 - 9

Step-by-step explanation:

The square root of the quadratic equation [tex](x^2 -6x+ 9)[/tex] if x<-3 would be equal to (x-3).

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given quadratic equation is

[tex](x^2 -6x+ 9)[/tex]

We have to find the square root of the quadratic equation

[tex]\sqrt{(x^2 -6x+ 9)} \\\\\sqrt{(x^2 -3x-3x+ 9)} \\\\\sqrt{x(x-3)-3 (x-3)} \\\\\sqrt{(x-3) (x-3)} \\\\\sqrt{(x-3)^2} \\\\(x-3)[/tex]

Thus, the square root of the quadratic equation [tex](x^2 -6x+ 9)[/tex] if x<-3 would be equal to (x-3).

Learn more about quadratic equations;

brainly.com/question/13197897

#SPJ2

x-4 in word form
Please help!

Answers

Answer:

x minus four

Step-by-step explanation:

can i have brainliest plz?

Answer and Step-by-step explanation:

The word form of the expression X - 4 is:

X minus four.

It can also be written as:

Some number minus four. (By user: iwaoiismyotp)

Any number in place of x minus 4.

A value substituted for x minus 4.

#teamtrees #PAW (Plant And Water)

help i will give branliest

Answers

Answer:

C x = 119

Step-by-step explanation:

> greater than

< less than

119 > 111

Last week, Pamela spent 2 3/4 hours watching television. Miranda watched television for 1/2 as many hours as Pamela did. How many hours did Miranda spend watching television?

Answers

Answer: [tex]\dfrac{11}{8}\ hr[/tex]

Step-by-step explanation:

Given

Pamela spent [tex]2\ \frac{3}{4}\ hr[/tex] watching television

Miranda watched half as many hours as Pamela did

Converting mixed fraction to fraction

[tex]\Rightarrow 2\ \dfrac{3}{4}=\dfrac{11}{4}[/tex]

Half of it is Miranda watching time

[tex]\Rightarrow \dfrac{\frac{11}{4}}{2}=\dfrac{11}{8}\ hr\ \text{or}\ 1\dfrac{3}{8}\ hr[/tex]

y= 3 cos(x)+2 I need help solving this

Answers

Answer:

Use the form acos(bx−c)+dacos(bx-c)+d to find the variables used to find the amplitude, period, phase shift, and vertical shift.

a=3a=3

b=12b=12

c=0c=0

d=0d=0

Find the amplitude |a||a|.

Amplitude: 33

Find the period of 3cos(x2)3cos(x2).

Tap for more steps...

4π4π

Find the phase shift using the formula cbcb.

Tap for more steps...

Phase Shift: 00

Find the vertical shift dd.

Vertical Shift: 00

List the properties of the trigonometric function.

Amplitude: 33

Period: 4π4π

Phase Shift: 00 (00 to the right)

Vertical Shift: 00

Select a few points to graph.

Tap for more steps...

xf(x)03π02π−33π04π3xf(x)03π02π-33π04π3

The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.

Amplitude: 33

Period: 4π4π

Phase Shift: 00 (00 to the right)

Vertical Shift: 00

xf(x)03π02π−33π04π3xf(x)03π02π-33π04π3

What is the inverse of f(x)=3x^2

Answers

Answer:

f^-1 (x)=sqrt(x/3), -sqrt(x/3).

Step-by-step explanation:

f(x)=3x^2

y=3x^2

x=3y^2

y^2=x/3

y=sqrt(x/3), -sqrt(x/3).

Answer:

[tex]y=3x^2[/tex]

[tex]y=3x^2[/tex]

Step-by-step explanation:

There is no step-by-step explanation because it's a graph. Well, it's how I did it. Therefore, the graph in the picture that I'm about to post will be your answer.

Milo recorded the number of hours he worked and the total amount he earned, including tips. Let h be the number of hours he worked, and let y be the total amount he earned, including tips. The equation of a line of best fit of his data is y = 12.5h +3.85. Based on the equation of the line of best fit, how much money should Milo expect to earn if he works a 5-hour shift?

Answers

Answer:

$66.35

Step-by-step explanation:

To find this answer with y=mx+b, we should first explain what it is. Y is our output or answer. M is our variable and x is the slope of our variable or how often it occurs. B, is our y intercept, our initial starting amount. Knowing this, we must figure out y. To do this we must multiply his hourly wage by the hours he works which is $12.50x5. This will get us $62.50. Now that we know how much he makes hourly, we add his initial wage of $3.85 to get us $66.35

This means he will make $66.35 if he works a full 5 hour shift.

Answer:

66.35

Step-by-step explanation:

math

find the y intercept of the following equation. simplify your answer. y=3\4x+4\7

Answers

Y intercept is the b part of y=mx + b
So your y intercept is 4/7

Answer:

i think the answer is 4/7

Step-by-step explanation:

the formula for slope is y=mx+b where b is the y-intercept and in this given equation 4/7 is in the place of b

The next model of a sports car will cost 5.9% more than the current model. The current model costs $36,000.

How much will the price increase in dollars?

What will be the price of the next model?​

Answers

Answer:

38124 :: 2124

Step-by-step explanation:

36,000*0.059 = $2124 increase

36,000 + 2124 = $38,124 cost

Answer:

$2124 increase

$38,124 cost

Step-by-step explanation:

83 ÷ 26 =
r
there should be a remainder

Answers

Answer:

3 and 5/83

Step-by-step explanation:

I need help simplifying this problem:
If someone could explain how to do this problem, I'd really appreciate it :)
C(t)= -0.3(t-12)^2+40
C(12)= -0.3(12-12)^2+40

Thankssss, ily!

Answers

C(t)= -0.3t^2 + 7.2t - 3.2

12c = 40

What is the percent change if the starting value is 25 and the final value is 30?

Answers

Answer:

The percentage change from 25 to 30 is 20 %

Step-by-step explanation:

((30 - 25) / 25) * 100 = 20 %

Helpppppp can’t find the right answer pls help

Answers

Answer:

$500

Step-by-step explanation:

Convert the following degrees into radians: 45°

Answers

Answer:

π/4

Step-by-step explanation:

45 * π/180 = π/4 radians.

Other Questions
what is photosynthesis ? A student must have at least 10 hours of instructor-assisted driving time to passthe course. Write an inequality to describe this situation. Someone please help me Please help me on this question help me with this math plz What is the value of y? what niche do you think you have in your family? Explain how immigration affect population growth _________________ was a major accomplishment for George H.W. Bush during his presidency.a.the Vietnam Warb.the Persian Gulf Warc.the War on Terrord.the Civil Rights ActPlease select the best answer from the choices providedABCD Submit your body systems report. Remember to proofread your work before submitting. The diffrence between prokaryotic and eukaryotic organism Ifm_2 = 68, what is the measure of angle 7? 1 2. 3 5 7 Solve for the value of y.60(8y-2) Pleas answer all three no links I will report you brainliest if right and 50 points (estar) t toda la manana y qu (2)DIRECTORA Dnde (1)(hacer) con mi computadora porttil?ASISTENTE Ay, (yo) (3)(tener) la peor maana de mi vida... Resulta que ayer me llev sucomputadora para seguir con el anlisis del experimento y...DIRECTORA Pero por qu no usaste la tuya?ASISTENTE Porque usted todava no (4)Estaba haciendo unas compras en la tarde y la dej en alguna parte,(descargar) todos los programas que necesito.DIRECTORA Me ests mintiendo. En realidad la (5)(romper), no?(perder). Por eso,ASISTENTE No, no la (6)(romper); la (7)esta maana (8) |(volver) a todas las tiendas y les (9)(preguntar) a todos por ella. De momento, nadie la (10)Jiver. How would you get only brown offspring by breeding the mice you have? Name the type of volcano illuminated in diagram A and describe how it forms. Who is able to solve this problem for me please!!!!!!!!!!Brainiest will be marked!!!!No link i cant open it!!! An atom or ion has 16 protons, 15 neutrons, and 17 electrons. Is it positive, negative, orneutral? Why? What element is it?I really need help on this so can someone tell me the answer please! NO LINK ANSWERS A zoo train ride costs $4 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took the ride was 27, and the total money collected was $60. What was the number of children and the number of adults who took the train ride that day, and which pair of equations can be solved to find the numbers? (1 point)11 children and 16 adultsEquation 1: a + c = 27Equation 2: 4a + c = 6016 children and 11 adultsEquation 1: a + c = 27Equation 2: 4a + c = 6011 children and 16 adultsEquation 1: a + c = 27Equation 2: 4a c = 6016 children and 11 adultsEquation 1: a + c = 27Equation 2: 4a c = 60