Prove that:

1+cot²a / 1 + cosec a = cosec a

Answers

Answer 1

Step-by-step explanation:

LHS= 1 + cot^2A/1+cosecA

=(1+cosecA + cot^2A)/1+cosecA

{By using basic trigonometric theorem cot^2A = cosec^2A - 1}

=(1+cosecA + cosec^2A - 1)/(1+cosecA)

=(cosecA + cosec^2A)/(1+cosecA)

=[cosecA (1+cosecA)]/(1+cosecA)

{Cancelling 1+cosecA}

=cosecA


Related Questions


8
9
16
18
24
27
36
32
45
Which number completes the table of equivalent ratios?
A)
38
B)
40
o
42
D)
44

Answers

Answer:

40

Step-by-step explanation:

...... ...... ...... ..... .


[tex]y = |x + 2| [/tex]
What is thw Domain and the Range ​

Answers

The domain is the x value and the range is the y value.

Because x is a variable it can be any real number so the domain would be negative infinity to infinity.

Because the domain is negative infinity to infinity, then the range is also negative infinity to infinity.

MATHHHHHH I NEED HELP PLEASE!!!!!

Answers

Answer:

so at (0,20) she spent all the money on (20) orange juice and 0 coffee

then at (15,0) she spent all the money on (15) coffee and 0 orange juice

Step-by-step explanation:

NEED ANSWER ASAP PLEASE!! WILL GIVE BRAINLIEST

The number of weekly social media posts varies directly with the square root of the poster's age and inversely with the cube root of the poster's income. If a 16-year-old person who earns $8,000 makes 64 posts in a week, what is the value of k?

Answers

Answer:

k= 320

.................

A town manager reports that revenue for a given year is $563,878. The budget director predicts the revenue will increase by 7% per year. How much revenue will the town have available in 6 years? (round to the nearest cent)

Answers

Answer:

below

Step-by-step explanation:

the yearly multiplier

= 1.07

After 6 years revenue wii, b 563878 * 1.07^6

= $846,228.83.

How many minutes are there in 4 1/4
hours?
mins
Pls help

Answers

Answer:

255 minutes

Step-by-step explanation:

Of the students at Milton middle school 171 are girls if 45% of the students are girls how many total students are there at milton middle school

Answers

Answer:

380

Step-by-step explanation:

171:45=3,8

3,8*100=380

I need an answer really quick.

Answers

Answer:

Switch to the other streaming service

Step-by-step explanation:

So, 96$ with a 12% increase is $107.52.

But if you do 8.75×12 you get $105.

So Clare should switch to the other music stream.

In Hawaii a volcano is about to explodel At 6:00 am a device placed inside the volcano
measures the temperature at 69.5 degrees Celsius. Every 3 minutes the temperature
rises 1/5 a degree. If the Volcano explodes at 1455 degrees Celsius how many hours do
they have to evacuate a nearby city?​
Will Mark BRAINLIEST to the correct answer

Answers

Complete question :

In Hawaii a volcano is about to explodel At 6:00 am a device placed inside the volcano

measures the temperature at 69.5 degrees Celsius. Every 3 minutes the temperature

rises 1/5 a degree. If the Volcano explodes at 145.5 degrees Celsius how many hours do

they have to evacuate a nearby city?​

Will Mark BRAINLIEST to the correct answer

Answer:

19 hours

Step-by-step explanation:

Given that:

Temperature of volcano at 6:00 am = 69.5°C

Average rise in temperature per 3 minute = 1/5

Hence, rise in temperature per minute = 0.0666666°C

Temperature at which volcano will explode = 145.5°C

Hence, change in temperature :

(145.5°C - 69.5°C) = 76°C

Hence, temperature will have to rise by 76°C

Rise in temperature / rate of temperature increase

= 76°C / 0.0666666°C

= 1140.0011 minutes

= 1140.0011 / 60

= 19.0000019 hours

= 19 hours

R1 - Writing and using formulae
Miss Joplin is planning the resources for a maths lesson.
She needs...
1 ruler per pupil plus 4 spare
5 pieces of dondy paper per pupil
. 5 pieces of card per pupil plus 7 spare.
V=
Write down formulae for the number of rulers (r)
and the amount of dotty paper (d) and card (c).
Jse p for the number of pupils.
d =
c =
[6]​

Answers

Answer:

im trying to do a challenge because this kid deleted all my answers

Step-by-step explanation:

What is the percent change from 6,000 to 9,000

Answers

Answer: 50% would be the correct answer.

-4x+50<58−8x+44≥60 AND−4x+50<58
Solve for x

Answers

Answeridek

Step-by-step explanation:

PLS HELP ME ILL GIVE BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

y is greater and equal than -6 because 13-19=-6

simplify the expression​

Answers

Answer:

24/64..........................

Step-by-step explanation:

hope this helped

can somebody solve 2 and 3 for me?

Answers

Answer:

2. D) 275

3.  C

Step-by-step explanation:

2. 20 divided by 10 = 2

550 divided by 2= 275

3. 35 times 8= 550$

1 month is 35$

2 months is 70$ (35+35)

4 months is 140$ (70+70)

6 months is 210$ (140+70)

HOPE THIS HELPS!!!

Answer:

2. D) 275

3.  C

Step-by-step explanation:

2. 20 divided by 10 = 2

550 divided by 2= 275

3. 35 times 8= 550$

1 month is 35$

2 months is 70$ 35+35

4 months is 140$ 70+70

6 months is 210$ 140+70)

Which values represent solutions to cos
$(# - x) =
sin x, where x € (0,21)?
(0.7)
0 (0.3

Answers

Answer:

C option

Step-by-step explanation:

C is the correct solution of to above equation

OK PLEASE HELP ME. IVE BEEN TRYING TO REMEMBER HOW TO SOLVE THIS BUT IM FIND IT IT REALLY DIFFICULT

Quadrilateral JKLM has vertices J(–7, –2), K(–2, –2), L(–3, –4), and M(–6, –4). Find the midpoints of each of the sides JM and KL.

Answers

Step-by-step explanation:

X-value of Midpoint of J(-7, -2) and M(-6, -4)

= [(-7) + (-6)] / 2 = -6.5.

Y-value of Midpoint of J(-7, -2) and M(-6, -4)

= [(-2) + (-4)] / 2 = -3.

X-value of Midpoint of K(-2, -2) and L(-3, -4)

= [(-2) + -3)] / 2 = -2.5.

Y-value of Midpoint of K(-2, -2) and L(-3, -4)

= [(-2) + (-4)] / 2 = -3.

We have (-6.5, -3) and (-2.5, 3).

The correct answer is Option D.

Henry received $500 for his birthday which he intends to invest in an account that pays simple interest at the rate of 12% per year. How much will be in the account

Answers

Answer:

$560

Step-by-step explanation:

Given that :

Principal, P= $500

Interest rate, r = 12% per year

Amount in account after 1 year

Time = 1 year

Using the relation :

A = P(1 + rt)

A = final amount in account

A = $500(1 + 0.12(1))

A = $500(1 + 0.12)

A = $500(1.12)

A = $560

Can you help me please

Answers

Answer:

a)x=5 b)x=4

Step-by-step explanation:

a)9.5×2=19

3x+4=19

19-4=15

15÷3=5

x=5

b)5×3=15

7+2x=15

15-7=8

8÷2=4

x=4

hope this helps

the question isn’t coming up for me

On the second day of a hiking trip the tourist covered a 17% bigger distance than on the first day . By how many percent of their average speed change from the first to the second day if on the second day they were hiking for a 20% longer time ​

Answers

Answer:

2.5%

Step-by-step explanation:

x=distance   y=time

x has been increased by 17%

100%+17% = 117%

y has been increased by 20%

100%+20%=120%

Now let's make the percentages into decimals. 117%=1.17 120%=1.2

To find the average speed you do the distance traveled divided by the time taken.

Average speed = 2.5%

Graph the line with slope 2 passing through the point (1, -3).
?.
be
-0
OX
6
8
10

Answers

Answer:

2x-5=y

I'm not sure how your graphing tool works so I'll give you five or so coordinates

(-1,-7)

(1,-3)

(0,-5)

(2,-1)

(-2,-9)

Step-by-step explanation:

You first need to write an equation that you can graph

Knowing that the slope is two we can write the following equation

2x+b=y

We also know that when x=1 y=-3

This gives us 2*1+b=-3

which means that 2+b=-3

subtract 2 from both sides to figure out the b=-3

This means that the line you have to graph is 2x-5=y

OMG HELPPPPPP!!!!!!!!

Answers

C- the times have the same y intercept and same rate of change

PLEASE HELP ME I’M REALLY FAR BEHIND IN MATH! I’LL MARK BRAINLIEST! (Looks at picture)

Answers

Answer:

x=1

Step-by-step explanation:

4x+5=9

-5 -5

4x=4

4/4

=1

x=1

Answer:

x=1.......

Step-by-step explanation:

Your welcome

PLEASE HELP AM BEING TIMED

The value of W is:

The value of X is:

Answers

W=90
X=60
Brainliest?

PLEASE HELP ILL GIVE BRAINLIEST !!!

Answers

Answer:

a. y=-3/2x-7

Step-by-step explanation:

First, you make the equation into slope intercept form, which is y=2/3x-3.

Then, because its perpendicular, the slope turns negative and upside down, so its -3/2, and then you insert the point (4, -1) to get the y intercept, which is -7. So you're answer is a.

(hope this helps :P)

PLEASE HELP ASAP!! will mark brainliest!!

What is the equation of the line shown in this graph?


Answers

Y=1
This is because it’s a horizontal line at 1.

Step-by-step explanation:

The line is a horizontal line of the form y = a, where a is a real constant.

Since the line passes through the points (-4, 1) and (2, 1) with y-values of 1,

Equation of the line: y = 1.

A right-angled triangle has sides of lengths (x+5)cm, (x-3)cm and 9cm. Calculate the value of x. Give your answer to 3 significant figures. (Quadratic Formula)

Answers

Answer:

x = (3.95 and -5.95)

Step-by-step explanation:

Given:

Hypotenuse = 9 cm

Perpendicular = (x+5) cm

Base = (x-3) cm

Find:

Value of x

Computation:

Using Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = [-b±√b²-4ac] / 2a

x = [-4±√16+376] / 2(2)

x = (3.95 and -5.95)

What is the value of x?


A right angle is shown divided into two parts. The measure of one part of the right angle is 30 degrees. The measure of the other part is 4x.


15

30

45

60

Answers

Answer:

x = 15

Step-by-step explanation:

We are told that a right angle is divided into two parts

A right angle = 90°

Part A = 30°

Part B = 4x

Hence:

30° + 4x = 90°

Collect like terms

4x = 90° - 30°

4x = 60°

4x = 60/4

x = 15

Therefore, the value of x = 15

Answer:

ITS  15!!!!!! :))))

In an experiment , the temperature of a solution is -5/8 degrees. The temperature drops 1 1/2 degrees. What is the temperature after the drop?

Answers

Answer:

- 2 1/8 degrees

Step-by-step explanation:

Given

Initial temperature of a solution = -5/8 degrees

Amount drop = 1 1/2 degrees

Temperature after the drop = -5/8 - 1 1/2

Temperature after the drop = -5/8 - 3/2

Temperature after the drop = -5-12/8

Temperature after the drop = -17/8

Hence the temperature after the drop is - 2 1/8 degrees

College essay for UC Santa Barbara has to be 500 words long but the actual essay can vary by as much as 20 words. Write an absolute value inequality that could find the range of possible number of words for the essay.

|x - 20| ≤ 500

|x + 20| ≥ 500

|x + 500| ≥ 20

|x - 500| ≤ 20

Answers

Uthfgferccccdf4646t-32253

Answer:

|x - 500| ≤ 20

Step-by-step explanation:

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