Simplify to a single trig function with no denominator.
tan? x + 1

Simplify To A Single Trig Function With No Denominator.tan? X + 1

Answers

Answer 1

Answer:

sec²x

Step-by-step explanation:

Using the trigonometric identity

tan²x + 1 = sec²x

Answer 2

9514 1404 393

Answer:

  sec² x

Step-by-step explanation:

It is a trig identity that ...

  tan² x + 1 = sec² x

_____

If you like, you can convince yourself of this using the usual equivalents for tan and sec:

  tan² x + 1 = sin² x/cos² x +1 = (sin² x + cos² x)/cos² x = 1/cos² x = sec² x


Related Questions

Julio walks 3.5 miles in 1.25 hours. How many miles does he walk per mile?

Answers

Answer:

3 1/2 ÷ 1 1/4  

7/2 ÷ 5/4

7/2 · 4/5

28/10

2.8

Julio walks 2.8 miles in one hour.

Step-by-step explanation:

Answer:

2.8miles/hr

Step-by-step explanation:

Given parameters:

 Distance walked = 3.5miles

 Time taken  = 1.25hrs

Unknown:

Number of miles walked per mile  = ?

Solution:

The miles walked per hour is defined as the speed.

  Speed is the distance divided by time;

   Speed  = [tex]\frac{Distance}{time taken}[/tex]

Insert parameters and solve;

   Speed  = [tex]\frac{3.5}{1.25}[/tex]   = 2.8miles/hr

Determine the portion that repeats of the repeating decimal of seventeen sevenths.

Answers

Answer:

428571

Step-by-step explanation:

2.428571 is the decimal you are working with, because 17/7 in decimal form is 2.428571. the part that repeats is 428571 part.

so your answer is 428571

The National park service is building a 16-mile trail. They will post a sign every 1/8 mile along the trail, including one at the end. There will not be a sign posted at the beginning of the trail. How many signs will they post along the trail? Please can you show me how you got your answer please.

Answers

Answer:

128 signs will be posted along the trail

Step-by-step explanation:

From the question,

The national park service is building a 16-mile trail and they will post a sign every 1/8 mile along the trail. To determine how many signs will be posted along the trail, we will divide the length of the trail by the distance in which one sign is to be posted from another.

The length of the trail = 16 mile

The distance in which one sign is to be posted from another = 1/8 mile

Hence,

Number of signs that will be posted along the trail = 16 mile ÷ 1/8 mile

= 16 × 8/1 = 128

Number of signs that will be posted along the trail = 128

This includes the sign that will be posted at the end of the trail.

Since there will not be a sign posted at the beginning of the trail, then

128 signs will be posted along the trail.

i need help with this question

Answers

Answer is 16
Sense nothing tells you what the variable is it would be 1. So you equation should be 4 (1+3). 1+3=4 then you’d multiply be 4 so 4x4 you get 16

Solve the equation.

3(−6)=15

Answers

Answer:

false

Step-by-step explanation:

hopefully that helps you

what is 4 - 1 1/5 ?​

Answers

4-1.1/5 equals 2.8
Hope I helped

help i’m in a rush please and thank you

Answers

Answer:

2

Step-by-step explanation:

-8(17 - 12) / -2(8-(-2))

-8 × 5 / -2 × 10

-40 / -20

= 2

Hope this helps

plz mark as brainliest!!!!!!

Answer:

[tex]option \: c. \: 2[/tex]

Step-by-step explanation:

[tex] \frac{ - 8(17 - 12)}{ - 2(8 - ( - 2))} = \frac{ - 4(5)}{10} = 2. \\ \\

♨Rage♨

[/tex]

One cell phone company offers a plan that costs $22.99 and includes unlimited night and weekend minutes. Another company offers a plan that costs $11.99 and charges $0.35 per minute during nights and weekends. For what numbers of night and weekend minutes does the second company's plan cost more than the first company's plan?

Answers

Answer:

From 0 to 31.43 minutes Plan 2 is cheaper. From 31.44 Plan 1 is better.

Step-by-step explanation:

First, we need to structure the total cost formula for each fitness center:

Plan 1= 22.99

Plan 2= 11.99 + 0.35x

x= number of minutes

Now, we equal the formulas and isolate x:

22.99= 11.99 + 0.35x

11=0.35x

31.43=x

The indifference point is 31.43 minutes.

From 0 to 31.43 minutes Plan 2 is cheaper. From 31.44 Plan 1 is better.

How can you get the variable alone on one side of the equation c4=139?
A. Multiply both sides of the equation by 4.
B. Add 139 to both sides of the equation.
C. Subtract 139 from both sides of the equation.
D. Divide both sides of the equation by 4.

Answers

Answer:

a

Step-by-step explanation:

since c/4 = 139 is the equation, c/4 is a fraction. To get rid of the denominator you have to multiply the denominator in both sides.

If it was x/2 = 4. then multiply 2 on both sides to get 8.

If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. Use your equation from the previous question to find how many gallons of gas you could buy with 40 dollars.
if you help fast you will get the brainlest
ps from previous question is y=2.35x+6.00
this is linear equation

Answers

Answer:

2.35x+6.00=y

x=number of gallons of gas

Step-by-step explanation:

what is the sum of the interior angles of a polygon

Answers

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Suppose the number of sides are n .

We have following equation to find the sum of the interior angles.

[tex](n - 2) \times 180[/tex]

For Example we want to know what sum of the interior angles of triangle equals ?

Triangle has three sides thus ;

[tex]n = 3[/tex]

[tex](3 - 2) \times 180 = 1 \times 180 = 180 \\ [/tex]

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If you solve this question, I will mark you brainliest!

What is 5.000000 × 95524.36 + 854793.8888 × 955133552.2 + 9% × 7% + 6^2 ÷ 12^2=

**You must explain how you got it, because I can already see half of you trying to use calculator lol**

Answers

Answer:

102055290485752224 /125

Step-by-step explanation:

(5)(95524.36)+(854793.8888)(955133552.2) + 9/100 (7) / 100 + 6^2/ 12^2

= 477621.8 + (854793.8888)(955133552.2) + 9/100 (7) / 100 + 6^2 / 12^2

= 477621.8 + 816442323408395.75 + 9/100 (7) / 100 + 6^2 /12 ^2

= 816442323886017.5 +  9/100 (7) / 100 + 6^2 /12 ^2

= 816442323886017.5 + 63 / 100 /100 + 6^2 /12 ^2

= 816442323886017.5 + 63/10000 + 6^2 /12 ^2

= 102055290485752192/125 + 36/12^2

= 102055290485752192/125 + 36/144

= 102055290485752192/125 + 1/4

= 102055290485752224/125

Answer:

4567890,1234567890

Step-by-step explanation:

Which expression is equivalent to the given polynomial expression?
13p – 3p(1 – 2m) – m(2m – 5p) – m2

Answers

Answer:-3m^2+11mp+10p

Step-by-step explanation:

The equivalent expression is:

-3m² + 11mp + 10p

Hence the correct option is 2.

Given is polynomial expression 13p – 3p(1 – 2m) – m(2m – 5p) – m², we need to find an equivalent expression to it,

To simplify the given polynomial expression, let's expand and combine like terms:

13p - 3p(1 - 2m) - m(2m - 5p) - m²

Expanding the expressions inside parentheses:

13p - 3p + 6mp - 2m² + 5mp - m²

Combining like terms:

10p + 11mp - 3m²

Rearranging the terms:

-3m² + 11mp + 10p

Therefore, the equivalent expression is:

-3m² + 11mp + 10p

Hence the correct option is 2.

Learn more about equivalent expression click;

https://brainly.com/question/28170201

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Find the slope of the line that passes through each pair of points.
(-4,-5),(-3,-10)

Answers

Answer:

-5

Step-by-step explanation:

Verizon Plan A…..$40 plus $12 per gigabyte
Verizon Plan B…..$30 plus $14 per gigabyte

When would the cost of the two plans be the same?
equation

Answers

Answer:

when there are 5 gigabytes

Step-by-step explanation:

40+12x=30+14x

10+12x=14x

10=2x

x=5

Write an equation of the parabola with focus
( -4/5,0) and vertex (0,0)

Answers

Answer:

             [tex]y^2=-\frac{16}5x[/tex]

Step-by-step explanation:

focus: (-4/5, 0) means the distance from the origin to the focus: a=4/5

y² = -4ax  

y² = -4(4/5)x

y² = -(16/5)x

Use the work shown. Which expression is equivalent to Negative two-thirds y minus three-fifths x + StartFraction 2 over 9 EndFraction minus four-fifths x + one-third y? y minus four-fifths x + StartFraction 2 over 9 EndFraction minus two-thirds y minus one-fifth x Negative y minus four-fifths x + StartFraction 2 over 9 EndFraction + two-thirds y + three-fifths x One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction Two-thirds y minus StartFraction 7 over 5 EndFraction x + StartFraction 2 over 9 EndFraction + y

Answers

Answer:

the answer is C: One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction

Step-by-step explanation:

hope it helps

Answer:

c

Step-by-step explanation:

did the unit test

Find the slope of the line passing through
these points:
(4,3), (-1,6)

Answers

Answer:

(-5,3)

Step-by-step explanation:

move five to the left to get 4 to -1 and 3 up to get 3 to 6

F(x)=(3x-5)^3f(x)=(3x−5) 3 f, left parenthesis, x, right parenthesis, equals, left parenthesis, 3, x, minus, 5, right parenthesis, cubed h(x)=2\sqrt[3]{x}+8h(x)=2 3 x ​ +8h, left parenthesis, x, right parenthesis, equals, 2, cube root of, x, end cube root, plus, 8 Write h(f(x))h(f(x))h, left parenthesis, f, left parenthesis, x, right parenthesis, right parenthesis as an expression in terms of xxx.

Answers

Answer:

[tex]h(f(x)) =6x-2[/tex]

Step-by-step explanation:

Given

[tex]f(x) = (3x-5)^3\\h(x) = 2\sqrt[3]{x}+8[/tex]

Required

Write [tex]h(f(x))[/tex] in terms of x

[tex]h(f(x)) = h((3x-5)^3)[/tex]

To get [tex]h((3x-5)^3)[/tex], we will replace x in h(x) with (3x-5)³ as shown:

[tex]h((3x-5)^3) = 2\sqrt[3]{(3x-5)^3} +8\\ h((3x-5)^3) = 2(3x-5) + 8\\ h((3x-5)^3) = 6x - 10 + 8\\ h((3x-5)^3) = 6x-2\\Hence \ h(f(x)) =6x-2[/tex]

Hence the expression [tex]h(f(x))[/tex] in terms of x is 6x - 2

Given the set of all even integers between and including -18 to -6,
what is the probability of choosing a multiple of -6 from this set?

Answers

Answer:

3/7

Step-by-step explanation:

Given set is {-18,-16,-14,-12,-10,-8,-6}

Probability = Number of favorable outcome / Number of possible outcomes

Favorable outcomes ={ -18, -12, -6}

probability of choosing a multiple of -6 = 3/7

Multiply the following numbers. 9(-2) =

Answers

Answer:

-18

Step-by-step explanation:

Every time you multiply a positive number to a negative number, it will always be negative.

9(-2) = 9 * -2 = -18

Best of Luck!

How much higher is -200 m then 450 m

Answers

Answer:

It is -650 higher and 650 lower than 450

Step-by-step explanation:

It is -650 higher and 650 lower than 450.

If my answer helped:

Pls consider marking my answer as Brainliest! It would mean a lot!

-200 meters is LOWER then 450m by 650m.

Two gallons of water evaporate from a pool every day. Linear or exponential

Answers

Answer:

Linear

Step-by-step explanation:

If you plotted points like 1,2 (1 for every day and the 2 for each gallon) then 2,4 then 3,6 it would go up in a straight line.

Simplify -2(x+7)-4x what th answer I’m doing a test rn

Answers

Answer:

Step-by-step explanation:

7x-2-4x

Answer:

[tex] - 6x - 14[/tex]

how hope this helps.

Between which two consecutive integers does the square root lie?

1, √120=
2, √56=
3, √19=
4, √240=
5, √80=
6, √27=
7, √199=
8, √38=
9, √102=
10, √11=
please help me​

Answers

We have a lot of square roots, and we want to find, for each one, two consecutive integers such that one is smaller than the square root and the other is larger.

The solutions are:

1) 10 and 112) 7 and 83) 4 and 54) 15 and 165) 8 and 96) 5 and 67) 14 and 158) 6 and 79) 10 and 1110) 3 and 4

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

To find the integers, we just need to find two integers such that one squared is smaller than the argument of the square root and the other squared is larger than the argument of the square root.

1) √120

Here we can use:

10*10 = 100

11*11 = 121

Then:

10 < √120 < 11

2) √56

Here we can use:

7*7 = 49

8*8 = 64

then:

7 < √56 <  8

3) √19

Here we can use:

4*4 = 16

5*5 = 25

then:

4 < √19 < 5

4) √240

Here we can use:

15*15 = 225

16*16 = 256

then:

15 < √240 < 16

5) √80

Here we can use:

8*8 = 64

9*9 = 81

then:

8 < √80 < 9

6) √27

Here we can use:

5*5 = 25

6*6 = 36

then:

5 < √27 < 6

7) √199

Here we can use:

14*14 = 196

15*15 = 225

then:

14 < √199 < 15

8) √38

Here we can use:

6*6  = 36

7*7 = 49

then:

6 < √38 < 7

9) √102

Here we can use:

10*10 = 100

11*11 = 121

then:

10 < √102 < 11

10) √11

Here we can use:

3*3 = 9

4*4 = 16

then:

3 < √11 < 4.

If you want to learn more, you can read:

https://brainly.com/question/10855879

Heeeeeelp


Please people
I need help asap

Answers

1.Maine
2.New Hampshire
3.Rhode Island
4. Connecticut
5.New York
6.Pennsylvania
7. New Jersey
8. Delaware
9. Maryland
10. Virginia
11.North Carolina
12. South Carolina
13. Georgia

Answer:

I dont like you!

Step-by-step explanation:

ORDER THEM FROM LEAST TO GREATEST PLEASE HELP ME PLEASE OMG

Answers

Answer:

[tex]FROM \: LEAST \: TO \: GREATEST \to \\ - \frac{5}{2} \to \: - 2 \to \: \frac{4}{3} \to \: \sqrt{13} [/tex]

Step-by-step explanation:

[tex]\sqrt{13} =3.6 \: (position \: 4)\: \\ - 2 = - 2 \: (position \: 2)\\ - \frac{5}{2} = - 2.5 \:( position \: 1) \\ \: \: \: \frac{4}{3} = 1.3 \: (position \: 3)\: [/tex]

♨Rage♨

Twice the difference of a number and 8.

Answers

twice the difference of the number and 8 is equal to three times the sum of the number and 3. find the number. 2(x-8)=3x+3 2x-16=3x+3 2x-16-2=3x+3-2 2x+14=3x+1 16/2=4/2 8/2. twice the difference of the number and 8 is equal to three times the sum of the number and 3.

Answer:

Twice the difference of the number and 8 is equal to three times the sum of the number and 3.

Step-by-step explanation:

2(x-8)=3x+3 2x-16=3x+3 2x-16-2=3x+3-2 2x+14=3x+1 16/2=4/2 8/2. Question 229672: twice the difference of the number and 8 is equal to three times the sum of the number and 3.

Hope this helped! <3

Divide 8m 40cm by 5 (Answer in
centimeters) (A) 1m 68cm (B) 168cm
(C) 1680cm (D) 168m (E) 16800cm [ ]
show work​

Answers

Step-by-step explanation:

8 m 40 cm

1 m = 100 cm

Then,

8 m = 8 × 100

= 800 cm

800 + 40 = 840 cm

Now,

It's divided by 5

Then,

840/5

= 168

Therefore,

Option B is correct ✔.

Which measure of central tendency represents the average data point? A. Mode. B. Range. C. Mean. D. Median

Answers

Answer:

C: Mean

Step-by-step explanation:

mean means average

Answer:

The answer is C or D depending on if there's any outliers.

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