Cot^2 x-csc^2 x=-1 for all values of x. True or false

Answers

Answer 1

Answer:

TRUE

Step-by-step explanation:

The well known trigonometry identity states that cot^2(x) + 1 = csc^2(x), rearrangin the equation we have that cot^2(x) - csc^2(x) = -1, which is exactly the expression in the statement. Therefore, the expression is TRUE.


Related Questions

where would you put 5/2 on a number line

Answers

Answer:

Step-by-step explanation:

You would simplify 5/2, making it 2 and 1/2.  this would go in between 2 and 3 on a graph.

Step-by-step explanation:

5/2 = 2.5

see attached to find where 2.5 is located on the number line.

What is the solution to the inequality below?
2- 2x>-20

Answers

Answer:

x < 11

Step-by-step explanation:

2- 2x>-20

Subtract 2 from each side

2-2- 2x>-20-2

-2x> -22

Divide by -2.  Remember that flips the inequality

-2x/-2 < -22/-2

x < 11

Find the cube root of 857375 by prime factorization method

Answers

Answer:

9

Step-by-step explanation:

3root^857375

Answer:

95

Step-by-step explanation:

The product of the prime factors of 857375 are

5 × 5 × 5 × 19 × 19 × 19 ← express as combination of pairs

= (5 × 19) × (5 × 19) × (5 × 19)

= 95 × 95 × 95 = 95³

Hence

[tex]\sqrt[3]{857375}[/tex] = [tex]\sqrt[3]{95^{3} }[/tex] = 95

Find the missing terms in the equation so that it is true. (3x + ?)^2=9x^2 + ?? +49y^2

Answers

Answer:

see explanation

Step-by-step explanation:

Note that 9x² and 49y² are perfect squares.

9x² = (3x)² → 3x is the first term

49y² = (7y)² → 7y is the second term

Hence

(3x + 7y)² = 9x² + 42xy + 49y²

Which best describes a system of equations that has no solution?
-consistent, independent
-inconsistent, dependent
-consistent, dependent
-inconsistent

Answers

Answer:

Inconsistent equations describes a system of equations that has no solution.

Step-by-step explanation:

Inconsistent equations have no solutions and contain no further classes.

Inconsistent equations are defined as two or more equations that can never be solved, based on using one set of values for the variables.

PLEASE HELP I AM VERY STUCK.


If the following line segment is reflected across y=x what are the coordinates of the new endpoints?


A. (-6, 1) and (-2, 3)


B. (6, -1) and (2, -3)


C. (-1, -6) and (-3, -2)


D. (1, -6) and (3, -2)

Answers

Y= x

(x,y) -> (y,x)

A. (1,-6) and (3,-2)
B. (-1,6) and (-3,2)
C. (-6,-1) and (-2,-3)
D. (-6,1) and (-2,3)


Hope this helps

Question 3 of 10
The two cones below are similar. What is the height of the smaller cone?
оооо

Answers

Can we see the cones please

Experience and education are examples of which factor that might determine a higher wage being paid to an
employee?
danger or risk
responsibility
authority
advanced qualifications
Need help asap

Answers

Experience and education are examples of advanced qualifications that is used to determine a high wage paid to an employee.

What is experience?

"Experience is the skill or knowledge that a person can get by learning or doing some professional work or from life."

What is education?

"Education is an activity which helps an individual to achieve a particular aim of life."

What are advanced qualifications?

"Advanced qualifications is an activity which helps an individual to increase in the level of education and their learning skills for achieving something better in life."

What is wage?

"Wage is the income which an individual earn with respect to the work he performed"

Hence, option d is correct.

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A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so its peak touches the edge of the cylinder’s base. What is the volume of the space remaining in the cylinder after the cone is placed inside it?

Answers

Answer:

[tex]\frac{11}{12}\pi r^{2}h\ units^{3}[/tex]

Step-by-step explanation:

we know that

Te volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

we have

[tex]r=(r/2)\ units[/tex]

substitute

[tex]V=\frac{1}{3}\pi (r/2)^{2}h[/tex]

[tex]V=\frac{1}{12}\pi r^{2}h[/tex]

Te volume of the cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we know that

To find the volume of the space remaining in the cylinder after the cone is placed inside it, subtract the volume of the cone from the volume of cylinder

so

[tex]\pi r^{2}h-\frac{1}{12}\pi r^{2}h=\frac{11}{12}\pi r^{2}h\ units^{3}[/tex]

Heather, Sarah, Nicky, and Jill each have nine markers. How many markers do they have in all?

Answers

in total: thirty-six (36) markers.

36 is the answer I believe

What is the value of [3.6]?

Answers

Answer:

3

Step-by-step explanation:

[ 3.6 ] represents the greatest integer function [ x ]

If x is an integer use that integer

If x is not an integer use the next smaller integer

[ 3.6 ] is not an integer, hence

[ 3.6 ] = 3

Answer:3

Step-by-step explanation: edge 2021

find the X-intercept
f(x)=3^(x-1)-2

Answers

Hello!

The answer is:

The function intercepts de x-axis at "x" equal to 1.631.

Why?

To find the x-intercept of the function, we need to make f(x) or "y" equal to 0, and then, isolate "x".

So, isolating we have:

[tex]f(x)=3^{(x-1)} -2\\\\0=3^{(x-1)} -2\\\\3^{(x-1)}=2\\\\Log_{3}(3^{(x-1)})=Log_{3}(2)\\\\x-1=0.631\\\\x=0.631+1=1.631[/tex]

Hence, we have that the function intercepts de x-axis at "x" equal to 1.631.

Have a nice day!

Note: I have attached a picture for better understanding.

What are all the keys that must be pressed, in correct order, on the calculator shown to find the value of 462 divided by 3?

Answers

The second one, 4 6 2 / 3
It is 462/3 because / means divide in the calculator

Which equation can be used to find 30 percent of 600?
A)600/100=3600/600
B)30/100=180/600
C)100/30=2000/600

Answers

Answer:

B

Step-by-step explanation:

Answer: 180/600

Step-by-step explanation: 100x6=600 and 30x6=180

10. Mary drove her car 2,483 miles during a road trip. Now
she has 86,445 miles on her car. How many miles did her
car have before her trip?

Answers

Answer:

83,962

Step-by-step explanation:

You must subtract the miles gained while on the road trip from the miles the car had after the road trip.

86,445-2,483=83,962

What is the square root of ab2?

Answers

Answer:

sqrt.(a) * absolutevalue(b)

Step-by-step explanation:

You do abs value when you have an even exponent with an odd exponent result from b^2 to b^1.

Please mark for Brainliest!! :D Thanks!!

For more questions or more information, please comment below!

Answer: Hello there!

Well, the square root is the inverse function of the square potential.

This is if you have [tex](\sqrt{x} )^{2}  = x[/tex] and [tex]\sqrt{x^{2} }  = +-x[/tex]

A interesting part of the square root is that (-4)*(-4) = 16, and 4*4 = 16, so the solutions for [tex]\sqrt{16}[/tex] are -4 and 4. For this is that you see a +- symbol in the second equation.

Now, if you have the number [tex](a*b)^{2}[/tex]

Now, we put this inside a square root: [tex]\sqrt{(a*b)^{2} } = +-a*b[/tex]

So the solutions for the square root of (a*b)^2 are a*b and - a*b.

What is the measure of AC?
Enter your answer in the box.
(4x - 5.5)
(5x+25)

Answers

Answer:

The measure of arc AC is 85°

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

m∠ABC=(1/2)[arc AC]

substitute

(4x-5.5)°=(1/2)[5x+25]°

(8x-11)°=(5x+25)°

8x-5x=25+11

3x=36

x=12°

Find the measure of arc AC

arc AC=(5x+25)°

arc AC=5(12)+25=85°

Answer:

The answer is 85

Step-by-step explanation:

I just took the test

tab
cap
3. A cylindrical oil drum has a radius of 0.28 m and an altitude of 0.83 m. How many cubic meters of oil
can the drum hold?
A. 1 m3
B.0.2 m3
C. 1.2 m3
D. 0.5 m3

Answers

Answer:

B

Step-by-step explanation:

We basically want to find the volume of this cylinder.

The volume of a cylinder is given by the formula  [tex]V=\pi r^2 h[/tex]

where r is the radius and h is the height.

We plug the info given and find the volume:

[tex]V=\pi r^2 h\\V=\pi (0.28)^2 (0.83)\\V=0.20[/tex]

Correct answer B

What is the product?

(x − 3)(2x2 − 5x + 1)

2x3 − x2 + 16x + 3
2x3 − 11x2 + 16x + 3
2x3 − 11x2 + 16x − 3
2x3 − x2 + 16x − 3

Answers

Answer:

Third option: 2x^3-11x^2+16x-3

Step-by-step explanation:

The product to be found is:

[tex](x-3)(2x^2-5x+1)[/tex]

Distributive property will be used for the product:

[tex]x(2x^2-5x+1)-3(2x^2-5x+1)\\[/tex]

Multiplication will give us:

[tex]=2x^3-5x^2+x-6x^2+15x-3\\Combining\ alike\ terms\\=2x^3-5x^2-6x^2+x+15x-3\\=2x^3-11x^2+16x-3[/tex]

The product is: 2x^3-11x^2+16x-3

Hence, third option is the correct answer ..

Answer:

The product is 2x³ - 11x² + 16x - 3 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to find the product of binomial by trinomial

- If (ax² ± bx ± c) and (dx ± e) are trinomial and binomial, where

 a , b , c , d , e  are constant, their product is:

# Multiply (ax²) by (dx) ⇒ 1st term in the trinomial and 1st term in the  

 binomial

# Multiply (ax²) by (e) ⇒ 1st term in the trinomial and 2nd term in

the binomial

# Multiply (bx) by (dx) ⇒ 2nd term the trinomial and 1st term in  

the binomial

# Multiply (bx) by (e) ⇒ 2nd term in the trinomial and 2nd term in    the binomial

# Multiply (c) by (dx) ⇒ 3rd term in the trinomial and 1st term in  

 the binomial

# Multiply (c) by (e) ⇒ 3rd term the trinomial and 2nd term in  

the binomial

# (ax² ± bx ± c)(dx ± e) = adx³ ± aex² ± bdx² ± bex ± cdx ± ce

- Add the terms aex² and bdx² because they are like terms

- Add the terms bex and cdx because they are like terms

* Now lets solve the problem

∵ The binomial is (x - 3) and the trinomial is (2x² - 5x + 1)

∴ (x)(2x²) = 2x³

∵ (x)(-5x) = -5x²

∵ (x)(1) = x

∵ (-3)(2x²) = -6x²

∵ (-3)(-5x) = 15x

∵ (-3)(1) = -3

∴ (x - 3)(2x² - 5x + 1) = 2x³ + -5x² + x + -6x² + 15x + -3

- Add the like terms

∵ -5x² and -6x² are like term

∴ Their sum is -11x²

∵ x and 15 x are like terms

∴ Their sum = 16x

∴ (x - 3)(2x² - 5x + 1) = 2x³ - 11x² + 16x - 3

* The product is 2x³ - 11x² + 16x - 3

At this same time in 2010, 78% of people said they went out dancing at least one night a month. Recently, this number has increased by only 2%. What is the recent percentage of people that go out dancing once a month?

Answers

Final answer:

The recent percentage of people that go out dancing at least one night a month, considering an initial percentage of 78% in 2010 and a recent increase of 2%, is 80%.

Explanation:

The percentage of people who went out dancing at least once a month in 2010 was 78%. If the number has recently increased by 2%, we need to add these two percentages together to find the recent percentage. In mathematics, when an increase is given in percentage, it's added to the original.

So, let's do the calculation:

78% (percentage in 2010) + 2% (recent increase) = 80% (recent percentage).

So, the recent percentage of people who go out dancing at least once a month is 80%.

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12. Name the property the equation illustrates.
0 + x = x
O Commutative Property of Addition
O Identity Property of Addition
O Multiplication Property of o
O Inverse Property of Multiplication

Answers

the answer is A. the commutative property of addition. this property states that no matter what order you put the numbers, the outcome will be the same.

Hope this helps!

please help Ill mark brainliest -5/7 times 1/5

Answers

[tex]-\dfrac{5}{7}\cdot\dfrac{1}{5}=-\dfrac{1}{7}[/tex]

if f(x) = x+8 and g(x) = 4x- 3, find (f+g)(x)

Answers

[tex](f+g)(x)=x+8+4x-3=5x+5[/tex]

what is (24x-35q) (56q+78x)

Answers

Answer:

=  1872x^2 - 1960q^2 - 1386xq

Step-by-step explanation:

First you should distribute.

(24x * 56q), (24x * 78x), (-35q * 56q), (-35q * 78x)

=1344xq + 1872x^2 - 1960q^2 - 2730xq

Now you combine like terms.

=  1872x^2 - 1960q^2 - 1386xq

**NOTE that (^2) means "squared"

Since there are no more like terms that is your final answer. I hope this helps love! :)

2x + 4y = 12
y= 2x-3
What is the solution to the system of equations?
• (-1,8)
(8, -1)
• (5. 3

Answers

Answer:

y=

−1

2

x+3

Step-by-step explanation:

is solved for y

Find the Area
i need help?​

Answers

B x h = 12 x 9.6 = 115.2

Check the picture below.

The sum of two numbers is 981. One of number 703. What is the other number?

Answers

Answer:

278 probly

Step-by-step explanation:

i just subracted 981 and 703

981-703=278
The other number is 278.

Without using technology, describe the end behavior of f(x) = -3x^4 + 7x^2 - 12x + 13
A. Down on the left, down on the right
B. Down on the left, up on the right
C. Up on the left, down on the right
D. Up on the left, up on the right

Answers

Answer:

A. Down on the left, down on the right

Step-by-step explanation:

Let x be negative infinity

f(-∞) = -3 (-∞)^4+ 7(-∞)^2 - 12(-∞) + 13

f(-∞) = -3 (∞)^4+ 7(∞)^2 + 12(∞) + 13

The term that dominates is ∞^4

That term is negative because of the -3, so it goes down

f(∞) = -3 (∞)^4+ 7(∞)^2 - 12(∞) + 13

f(∞) = -3 (∞)^4+ 7(∞)^2 - 12(∞) + 13

The term that dominates is ∞^4

That term is negative because of the -3, so it goes down

It is down at -∞ and down and +∞

Final answer:

The end behavior of the function is determined by the sign of the leading coefficient and the degree of the highest-powered term. Since the leading coefficient for f(x) = -3x^4 + 7x^2 - 12x + 13 is negative and the degree is even, it results in a down on the left, down on the right end behavior.

Explanation:

To determine the end behavior of a polynomial function, like f(x) = -3x^4 + 7x^2 - 12x + 13, you look at the coefficient and degree of the highest-powered term. The highest-powered term in the function is -3x^4.

Since the highest degree of the function is even (4), the arms of the graph will go in the same direction. That direction is determined by the sign of the leading coefficient, which is negative in this case. Therefore, the end behavior of f(x) is: Down on the left, down on the right.

So, the correct answer is Option A.

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How many different trios could be selected from a chorus of 20 singers? 20! C(20, 3) P(20, 3)

Answers

Answer:

C (20, 3) = 1140

Step-by-step explanation:

We are given that there is chorus of 20 singers and we are to find the number of different trios that can be selected from 20 singers.

This is a problem of combinations where the order of trios is not important.

[tex] C ( 2 0 , 3 ) = \frac { ( 2 0 ! ) } { ( ( 2 0 - 3 ) ! 3 ! ) } [/tex]

[tex]C ( 2 0 , 3 ) = \frac { 2 0 ! } { ( 1 7 ! ) ( 3 ! ) } [/tex]

[tex]C ( 2 0 , 3 ) = \frac{( 2 0 \times 1 9 \times 1 8 )}{( 3 \times 2 \times 1 )}[/tex]

C (20, 3) = 1140

Answer:

C(20, 3)

Step-by-step explanation:

have a good day

PLZ HURRY IT'S URGENT!
If f(x) = 0.6(3 – x), what is the value of f(–3)?

A.
0

B.
1.8

C.
3.6

D.
4.8

Answers

Answer:

3.6

Step-by-step explanation:

replace x with -3

f(-3)=0.6(3-(-3))

f(-3)=0.6(6)

f(-3)=3.6

Answer:

3.6.

Step-by-step explanation:

Replace x by -3 in the function and work it out:

f(-3) = 0.6(3 - (-3))

= 0.6(3 + 3)

= 0.6*6

= 3.6 (answer).

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