if tanx-cotx=5 then what is the value of tan²x+cot²x​

Answers

Answer 1

Answer:

27

Step-by-step explanation:

note that tanx cotx = tanx × [tex]\frac{1}{tanx}[/tex] = 1

Given

tanx - cotx = 5 ( square both sides )

(tanx - cotx)² = 5² = 25 ← expand left side using FOIL

tan²x - 2tanxcotx + cot²x = 25

tan²x - 2 + cot²x = 25 ( add 2 to both sides )

tan²x + cot²x = 27


Related Questions

PLS COME ASAP PLS!!!!

Answers

Answer: 9/2

Step-by-step explanation:

21=2(6) + 2(?)

21=12 + 2(?)

9=2(?)

(9/2)=?

hurry please!

Choose the statement that is not true.
A. The rational number system is closed under addition, but not multiplication.
B. An irrational number cannot be a repeating decimal.
C. When you multiply a rational number by an irrational number, the product will always be irrational.
D. Other than perfect squares, all square roots are irrational.

Answers

Answer:

A. the rational number system is closed under addition, but not multiplication

Step-by-step explanation:

may i pleaseee have brainliest

Please help and explain thanks I’ll give brainiest! !!!???!!!!???
Thanjs

Answers

2 = -x - 8 equation
x = -10

find x and y in to the diagram​

Answers

Answer:

diagram???

where is it

Step-by-step explanation:

I NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!

Answers

Answer:

v=18

u=4

Step-by-step explanation:

v/3=6

v=18

2u+2=5u-10

3u=12

u=4

Answer:

Step-by-step explanation:

What Is the measure of angle D?

Answers

Answer:

Step-by-step explanation:

2x + 15 + x + 90 = 180

3x + 105 = 180

3x = 75

x = 25

2(25) + 15 = 50 + 15 = 65 for m<D

A number z squared, decreased by 7

Answers

9514 1404 393

Answer:

  z² -7

Step-by-step explanation:

A square is indicated using an exponent of 2. "Decreased by 7" means 7 is subtracted.

  z squared, decreased by 7 is ...

  z² - 7

How much water will the swimming pool hold if it is completely filled with water?
9 ft
9 ft
4 ft
4 ft
4 ft
30 cubic feet
144 cubic feet
224 cubic feet
324 cubic feet

Answers

Answer:

144

Step-by-step explanation:

You should pick B.

Jessica estimated that her family used 30% more water this month compared to last month . they used 12000 gallons of water last month , how much water did they use this month

Answers

Answer:

15,600 Gallons

Step-by-step explanation:

The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Last used of water = 12000

30% of 12000 = (30/100)12000 = 3600

Water used in the current year = 12000 + 3600 = 15600 gallons.

Hence "The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

Helppppppppppppppppp plzzzzzzzzzzzzzzzzzzzzzz

Answers

A it’s only right they is no way you can get more then A and it’s rounded

I NEED HELP NEEDS TO BE DONE IN 10 mins
Standard to Slope Intercept Form
Put the following equation of a line into slope-intercept form, simplifying all fractions.
2x+8y=24

Answers

Answer:

y = - [tex]\frac{1}{4}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

2x + 8y = 24 ( subtract 2x from both sides )

8y = - 2x + 24 ( divide all terms by 8 )

y = - [tex]\frac{1}{4}[/tex] x + 3 ← in slope- intercept form

6. Which function is equivalent to y=3( x + 2)2 + 7?

Answers

Answer:

3x+45

/3x /3x

x= 15

Explanation:
3x+45
/3x /3x
answer
x=15

A. y+ 1 = 2(x-1)
B. y-1 = 2(x+1)
C. y + 1 = -2(x-1)
D. y-1 = -2(x + 1)

PLS HELP ASAP WILL MARK U BRAIN-LIST THANKS

Answers

First you need to rearrange the equations.

A. will turn into Y=2x-3
B. will turn into Y= 2x+3
C. will turn into Y=-2x+1
D. will turn into Y= -2x-1

The equation that fits that graph is letter A.

The reason is because the Y intercept or where the line crosses on the y axis is -3 which you can see fits the first equation.
You also know because the slope of the first equation is 2, and -3 plus 2 is -1 which is the point they marked for you (1,-1)
Hope this helps :)

Please help!!!!!!!!!!!!!!

Answers

Answer:

A=-4

B=4

C=-4

D=4

Step-by-step explanation:

a building in the shape of a rectangle is 120 feet long and 90 feet wide. if a fence is to be constructed along te diagonal of the lot, find the length of the fence in feet

Answers

Use the Pythagorean theorem.

(Dish)^2=120^2+90^2

I am a block.
I have 3 faces that are
rectangles.
I have 2 faces that are
triangles.

Answers

Answer: Triangular Prism I think

Step-by-step explanation:

Find the missing value to the nearest hundredth cos=4/38

Answers

Answer:

83.96 (approximately)

Step-by-step explanation:

I am not completely sure what the problem is asking, just like the last one, but I believe that you are just supposed to take the inverse of cosine. So, in your calculator, make sure it is in degrees mode, then usually you have to click the 2nd key and then cosine. You use the inverse of cosine when two sides are given, but you are not given the angle.

It should look like:

[tex]cos^{-1}(\frac{4}{38})[/tex], which is approximately 83.96.

Hopefully this is right, if not, please let me know. Good luck.

Mary drew 79 diagonals in a convex polygon. What is the fewest number of sides her polygon might have had?

Answers

It would probably be 6

Simplify (g^6)^10 how do I do this? Can someone help

Answers

Answer:

g⁶⁰

Step-by-step explanation:

(g⁶) ¹⁰

When you raise an exponent to another exponent, you multiply the exponents.

6 × 10 = 60

(g⁶)¹⁰ = g⁶⁰

Answer:

g^60

Step-by-step explanation:

multiply the exponents 6 and 10 and it will be 60 like this g^60 I hope this  helped you :) Im sorry if it was wrong

Pleaseee helpp meeee

Answers

Answer:

7

Step-by-step explanation:

The new expression would be: 2(10) / 5 + 3. Using PEMDAS, first multiply 2(10) to get 20. Now you get: 20 / 5 + 3. Using PEMDAS, now divide 20 / 5 to get 4. The new expression is 4 + 3. Now, add to get 7 as your answer.

Hope it helps!

Answer: 7

How to:
Plug in values
Use PEMDAS

Find the area of the trapezoid by decomposing it into other shapes

Answers

Answer:

60 cm ( squared )

Step-by-step explanation:

you can find the area of the trapezoid ( by decomposing it into other shapes ) by separating two triangles, and using the formula to find the area of triangles, which is A= 1/2 ( b x h ) and add the answer to those together ( 16 cm squared and 4 cm squared ), and after that, you can find the area to the rectangle by multiplying the l x w, which is 10 x 4 ( after separating the triangles.). That equals 40, and when you add them all together ( 16 + 4 + 40 ) it equals 60 cm (squared).

answer plz?!?! and explanation plz?!?

Answers

Answer:

d

Step-by-step explanation:

Radius = 4

area:

4x4x3.14x12=602.88

Please help ASAP really desperate

Answers

Answer:

m= 3/7

Step-by-step explanation:

I'm assuming the question is solve for the variable, m.

First step is to isolate the variable

In other words, let's move everything (but m) from the left side to the right side

To move 7 to the right side, we can either divide both sides by 7 or multiply both sides by 1/7 (both equal the same thing)

7/3m × 1/7 = 1 × 1/7

1/3m = 1/7

Now we must move 1/3 from the left to the right side

We can use the reciprocal, 3/1, to do this

1/3m × 3/1 = 1/7 × 3/1

m = 3/7

Help, I need this soon!

Answers

Answer:

1a. x=2 1b. x= -1

Step-by-step explanation:

PLease help with this i will give brainliest

Answers

Answer:

Probably -3

Step-by-step explanation:

If it's going by 3s, then it should be -3.

Answer:

-3

Step-by-step explanation:

y=-x+7 y=2x+1 solve using equations

Answers

Answer:

x=6,y=13

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

x+7=2x+1

Solve x+7=2x+1

x=6

Evaluate yy when x=6

y=13

The solution to the system is the complete set of ordered pairs that are valid solutions.

(6,13)

The result can be shown in multiple forms.

Point Form:

(6,13)

Equation Form:

x=6,y=13


What property is this ?

a(b + c) = ab + ac

Answers

Answer:

distributive I'm pretty sure!

Step-by-step explanation:

i hope this helps have a great day:)

Find the volume of a rectangular pyramid, with a height of 12 cm, length of 8 cm, and a width of 6cm.

Answers

Answer:

192 cm^3

Step-by-step explanation:

Volume equals Area of the base times the height divided by three.

V = length * width * height

                      3

V = 8 * 6 * 12   =   192 cm^3

           3

devin makes a 15% commission each month for everything he sells. if devin sells $2750 of merchandise this month, how much of a commission did she receive?​

Answers

Answer:

$412.50

Step-by-step explanation:

15% of 2750 = 0.15 × 2750 = 412.5

There are a total of 96 children in Years 4, 5 and 6
37 of these children cannot swim.
11 children in Year 4 cannot swim.
21 children in Year 5 can swim.
There are 30 children in Year 6
18 of these 30 children can swim.
(i) Work out the number of children in Year 4 who can swim.

Answers

Answer: 20 children

Step-by-step explanation:

Given

Year 4: 11 cannot swim

Year 5: 21 can swim

Year 6: 18 of 30 can swim

Total 96 children

Total 37 cannot swim

First Step: find the number of people from year 5 who cannot swim

There are 30-18=12 people who cannot swim in year 6There are 11 who cannot swim in year 4Thus, we use the total number [37]-[year 4+year 6]=37-23=14 people who cannot swim in the year 5

Second Step: find the number of children in year 5

There are 21 children who can swimThere are 14 children who cannot swim21+14=35 children

Third Step: find the number of children in year 4 who can swim

There are 30 children in year 6There are 35 children in year 5There are 11 children in year 4 who cannot swimThere are in total 96 children96-30-35-11=20 children in year 4 who can swim

Hope this helps!! :)

Please let me know if you have any questions

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