Which of the following is a trigonometric identity?
cot 0 + tan 0 = 1
sec2 0 +csc2 0 = 1
tan2 0 = sin2 0 x sec2 0
cos2 = sec2 0 x tank 0​

Answers

Answer 1

Answer:

it's the first one... I think

Answer 2

Answer:

third one

I'm assuming does 2's are squared symbols.

Step-by-step explanation:

It's the third one because

sin^2 x sec^2 x

sin^2 x (1/cos^2 x) by reciprocal identity

sin^2 x/cos^2 x by multiplicative identity prop

tan^2 x by quotient identity

The first one wouldn't work because plugging in pi/4 gives 1+1=1 which isn't true.

The second one doesn't work because plugging in pi/4 gives 2+2=1 which isn't true.

The last equation doesn't make sense at all. There is no variable on the left and on the right there is an extra variable.


Related Questions

The bar graph shows a company’s income and expenses over the last 5 years. Which statement is supported by the information in the graph?

A) The income in Year 5 was twice the income in Year 1
B) The combined expenses in Years 3 and 4 were more than the combined income in Years 3 and 4
C) Expenses have increased each year over the last 5 years
D) The combined income in Years 1, 2, and 3 was equal to the combined expenses in Years 1, 2, and 3

Answers

Answer:

B

Step-by-step explanation:

Kinda hard to explain but I'm pretty sure it's B

Please help fast !!!!

Answers

2. 1/3

3.

a) 40

b)30 or 40

c) 110

Answer:

2. [tex]\frac{1}{3} = 33%[/tex]

3. A. [tex]\frac{1}{4} = 25[/tex]

   B. [tex]\frac{1}{2} = 50[/tex]

   C. [tex]\frac{4}{5} = 80[/tex]

Step-by-step explanation:

Hope this helps

A right triangle has a hypotenuse of 18 feet and a side length opposite ∠A of 12 feet. What is the measure of ∠A to the nearest degree?

Answers

Answer:

∠A = 42°

Step-by-step explanation:

sin ∠A = 12/18 = 0.6667

∠A = 41.81°

Answer:

42 degrees

Step-by-step explanation:

A. 2 in
B. 4 in
C. 8 in
D. 16 in

Answers

I think the answer is D
B) 4 in

The radius is half the size of the diameter


The product of two numbers is 75
one of the two numbers is a perfect squar. The other is a prime number. Find the sum of the two numbers.

Answers

Answer: 8

Step-by-step explanation: numbers are 5 and 3.

5²·3 =75



Lily invested $12,300 in an account for 15 years that compounds interests continuously at rate of 3.75%. What is her account worth after that time?​

Answers

Answer:

3,075

Step-by-step explanation:

What is the distance between points A and B? Enter your answer, rounded to the nearest tenth, in the box. units

Answers

Answer:

Distance between A and B = 10.4 unit (Approx.)

Step-by-step explanation:

Given:

Coordinate of A = (-5 , 2)

Coordinate of B = (5 , 5)

Find:

Distance between A and B

Computation:

Using distance formula

Distance between two point = √(x1 - x2)² - (y1 - y2)²

Distance between A and B = √(-5 - 5)² - (2 - 5)²

Distance between A and B = √(-10)² - (-3)²

Distance between A and B = √100 + 9

Distance between A and B = √109

Distance between A and B = 10.4403

Distance between A and B = 10.4 unit (Approx.)

Answer:

10.4

Step-by-step explanation:

took the k12 test (:

6. Find the 20 ^ (th) term of the arithmetic sequence. 42,28,14,0,-14,...

Answers

Step-by-step explanation:

[tex]U _{ {20}^{th} } = a + (n - 1)d \\ = 42 + (20 - 1) \times 14 \\ = −252[/tex]

If preimage is (0, 1) . (4, 0), (4, 1) , what are the points after a translation of 3 units up and then a reflection over the -axis

Answers

Answer:

(0, 4) (-4, 3) (-4, 4)

Step-by-step explanation:

Translation rules:

Units UP - Add to the y-coordinate.

Units DOWN - Subtract from the y-coordinate.

Units RIGHT - Add to the x-coordinate.

Units LEFT - Subtract from the x-coordinate.

--------------------------------------------------------------------------------------------------------------

In this case, the word problem is asking for the points after a translation of 3 units up.

(x, y+3)

(0,1) → (0,4)

(4,0) → (4,3)

(4,1) → (4,4)

--------------------------------------------------------------------------------------------------------------Now it's time to reflect the new points over the y-axis.

When reflecting over the y-axis, the y-coordinate remains the same, but the x-coordinate becomes the opposite value. (-x, y)

(0,4) → (0,4)

(4,3) → (-4,3)

(4,4) → (-4,4)

Help Plis.........................

Answers

Answer: Herba has a greater balance and Nour has more debt.

Step-by-step explanation: Herba's account balance is a positive number and is clearly greater than Nour's account balance; therefore, Herba has a much greater balance. On the other hand, Nour's account balance is a negative number and is clearly less than Herba's; therefore, Hour is in more debt since he has to pay back the money that he borrowed.

Continuation of the other six questions find the value of eggs and tangent 

Answers

Answer:

Step-by-step explanation:

1) ?

I can't see what that one given angle is ..  but it's that  mystery angle subtracted from 180 give the angle   BOA   then you know that's an isosceles triangle again that the BOA is part of... so then just subtract BOA from 180 to find the two other angle of that triangle... they are the small so just divide your answer of  180-BOA /2 is the angle of each.. then since you know those to smaller angles subtract one from 90  to find the angle BAX

2) ( as we would read normally)

You're making this really tough on me.. I can just barely read the equations

I think it's  1+6x  and 7x-3  .  b/c they are the same length sides you can set those equal

1+6x = 7x -3

4+6x = 7x

4 = x

that worked out well :

for the tangent..   it's   Tan(Ф)= Opp/ Adj

but I don't know which side they want to solve for.. I think you may have left off some of the instructions????  :/

ohh I think they really mean.. what's the length of the tangent lines .. that was confusing to me.. :/ just plug in 4 into x for either eq.

1+6(4) = 25

or

7(4)-3=25

tangent is 25

3)

x-2 = 2x-10

x+8 = 2x

8 = x

again they made it work out easy :)

Then plug 8 into either equation to find the length of the tangent lines

8-2=10

tangent is 10

4) = 2)   ??? they are the same question  maybe  you meant to put something else?

In triangle ABC, m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘.
What is the value of x?

Answers

Answer:

x = 23

Step-by-step explanation:

A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.

2x + 3x + 1 + 3x - 5 = 180

8x - 4 = 180

8x = 184

x = 23

The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

What is triangle angle sum theorem?

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In triangle ABC,

m∠A=(2x)∘, m∠B=(3x+1)∘, m∠C=(3x−5)∘.

As, the sum of all the angles of triangle is equal to the 180 degree. Thus,

[tex]m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o[/tex]

Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

Learn more about the triangle angle sum theorem here;

https://brainly.com/question/7696843

#SPJ2

Help ASAP
What is the highest common factor of 180 and 168

Answers

Answer:

Its 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

make a factor tree, find the product of the prime factors, it will be 12.

Hannah is buying a shirt in a state where the sales tax is
6.25%. The price of the shirt is $14.99. By which number
should Hannah multiply $14.99 to determine the total sales
tax?

Answers

Answer:

The number is 0.0625

You are rolling a pair of dice what's is the probability of getting different numbers on both dice

Answers

Answer:

[tex]Pr = 0.833[/tex]

Step-by-step explanation:

Given

A roll of a pair of dice

Required

The probability of getting different numbers

First, list out the sample space;

We have:

[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]

[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]

 [tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]

The total is:

[tex]Total = 36[/tex]

The outcomes of the different numbers are:

[tex]Different = \{(1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]

[tex](3, 1) (3, 2)(3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 5) (4, 6)[/tex]

[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) \}[/tex]

The total is:

[tex]Different = 30[/tex]

So, the probability of having a different outcome is:

[tex]Pr = \frac{Different}{Total}[/tex]

[tex]Pr = \frac{30}{36}[/tex]

[tex]Pr = 0.833[/tex]

numbers greater than 10 from 1 to 15​

Answers

bro just count?????? 11, 12, 13, 14, 15??????

Answer:

11,12,13,14,15

Step-by-step explanation:

The number scale goes like this 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 so look at the numbers in between 10 and 15 except dont count in ten because they have to be greater the 10. so therefor 11,12,13,14,15 :)

6 x [(6 x 2.3) + 3.9]

Answers

Answer:

106.2

Step-by-step explanation:

The answer is106.2

First, Multiply 6 and 2.3

6x2.3= 13.8

Once you found your product, add 13.8 and 3.9

13.8+3.9= 17.7

6 x 17.7= 106.2

Divide £104 in the ratio 3:5

Answers

Answer:

39:65

Step-by-step explanation:

104/(3+5) = 104/8 = 13    13(3):13(5) =  39:65

(4x - 20) I really need help on this

Answers

Answer:

-80

Step-by-step explanation:

To find x, set the equation equal to zero

4x-20=0

the next step is to isolate the variable, you can do this by adding 20 to both sides, remember when you change one side of the equal sign you must do the same to both

4x=20

now you can divide by 4 to get x by itself, again divide both sides of the equation

4x/4=20/4

x=5

After doing the division we see that x is equal to 5, and you can always check to see if your answer is correct by plugging it back into the equation:

4(5)-20=0

20-20=0

Hope this helps :)

X
A regular heptagon has a side of approximately 4.3 ft and an apothem of approximately 4.5 ft.
Find the area of the heptagon.
X
1+1
2.
X
4.5 ft
4.3 ft
Any know the answe

Answers

Answer: 67.7ft²

Step-by-step explanation:

Note that a heptagon has 7 sides.

The area of a heptagon is given as:

= 1/2 × nsr

where,

n = number of sides = 7

s = length of side = 4.3ft

r = apothem= 4.5ft

Area of the heptagon = ½nsr

= ½ × 7 × 4.3 × 4.5

= 135.45/2

= 67.7ft²

Therefore, the area of the heptagon is 67.7ft²

The perimeter of a rectangular mat is 16 feet. It is 6 feet long. How wide is it?
A 2 ft
B 1 ft
C3ft
D4ft

Answers

Answer:

2ft

Step-by-step explanation:

because perimeter of a rectangle formula is p=2(l+w)

The table shows the number of apples and the total weight of the apples estimate the weight of 6 apples

Answers

Answer:

6 apples will weigh about 1,533 grams

Step-by-step explanation:

Set up an equation:

2

Variable x = weight of 6 apples

2/511 = 6/x

Cross multiply

2 × x = 511 × 6

2x = 3066

Divide both sides by 2

x = 1533

Check your work

2/511 = 6/1533

2 × 1533 = 511 × 6

3066 = 3066

Correct

Find the measure of arc DHG

Answers

Answer:

128

Step-by-step explanation:

PLEASE RECHECK IF POSSIBLE I GOT 128 AS CIRCLE IS 360 and DIAMETER IS 180 ALSO 90 IS MARKED JUST RECHECH LET SOMEONE ELSE ALSO ANSWER.ALL THE BEST

PLEASE HELP
What is the slope of the line shown below? (Enter your answer as a decimal if
necessary.)
(1, 2)
(-1, -4)

Answers

Answer:

-4-2/-1-1=-6/-2= 3

So the answer is 3

Please hurry I really need this to be answered

Answers

Answer:

The answer is (C) BFD

Step by step

We can see that angles DFE and AFB have a common vertex F but they do not have a common side, so the angles are not adjacent. The other options are also incorrect so the answer is C.

Please help! Will give brainliest!
Don't give a like.

Answers

9514 1404 393

Answer:

fractiondenominatorproductnumerator

Step-by-step explanation:

When you multiply a fraction by a whole number, the denominator in the product is the same as the denominator of the fraction. The numerator in the product is the product of the whole number and the numerator of the fraction.

__

That's the rule. It is derived from the fact that multiplication indicates repeated addition.

  [tex]\dfrac{2}{7}\times3=\dfrac{2}{7}+\dfrac{2}{7}+\dfrac{2}{7}=\dfrac{2+2+2}{7}=\dfrac{2\times3}{7}\qquad\text{for example}[/tex]

What is the value of the second quartile

Answers

Answer:

the value is 20 out of 100

Step-by-step explanation:

Pls help if u cannnnnnnnnn

Answers

Answer:

V≈2144.66m³

Step-by-step explanation:

V=4 /3πr^3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³

Hope this helped!!!

Answer:

2143.57 m³

Step-by-step explanation:

Formula of volume of sphere

[tex] = \frac{4}{3} \times π \times {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]

[tex] = \frac{6430.72}{3} [/tex]

[tex] = 2143.573333...[/tex]

= 2143.57 m³ (rounded to the nearest hundredth)

Which expression says," 11 less than twice n?"
(1) 11 - 2n
(2) 11 + 2n
(3) 2n - 11
(4) 2n + 11​

Answers

Answer:(1) 11-2n is the correct answer

Step-by-step explanation:

hope it helps you

can you come up with a rule for what happens to the signs when you reflect a point across both axes?

Answers

Required Answer :-

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).

If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.

Hope it helps!!

Answer:

(a,b) ⇒ (-a,-b)

Step-by-step explanation:

When you reflect over the x-axis, the y-value changes sign.

When you reflect over the y-axis, the x-value changes sign.

So if you reflect across both, both values change sign. That is, if you reflect the point (a,b) across both axes, you will get (-a,-b)

(I've also attached a table that's handy for other reflections if you're curious)

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