Verify the identity:

2 sec^2 x − 2 sec^2 x sin^2 x − sin^2 x − cos^2 x = 1

Answers

Answer 1

[tex]\mathrm{Solving}\: \mathrm{prove\:2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)=1}\\steps \\2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)=1\\\mathrm{Manipulating\:left\:side}\\2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)\\=-1+2\cos ^2\left(x\right)\sec ^2\left(x\right)\\=1[/tex]Answer:

Step-by-step explanation:


Related Questions

PLEASE HELP.

Which TWO statements below are true about a polygon
. A quadrilateral is a polygon
. A ☆is a polygon.
A triangle is a polygon.
A circle is a polygon.

Answers

Answer:

2

Step-by-step explanation:

A quadrilateral is a polygon and A triangle is a polygon. I think

Pls help ! Find the value of x .

Answers

Answer:

101

Step-by-step explanation:

180-79=101

have a great day

Answer:

the value of x is 101 degrees

pls help its due soon

Answers

A reflection over the x axis followed by a dilation.
Explanation:
The image is flipped over the x axis and also bigger which means x,y were multiples making it a dilation.

Which equation best represents the relationship
between x and y in the graph?
FOR BRAINLSIT!!

Answers

Answer:

I've never had to deal with this before but I would say C

Answer:

The best option is C ( y=(1/4) x +3)

in 1980 Kim was 16 and Anna was 8. When was Kim age four times Anna's age?​

Answers

Answer:

48 and prob in 1984

Step-by-step explanation:

A wire is stretched from the top of a 12 ft pole to a point on the ground 9 feet from the base of the pole. Find the length of the wire.

Answers

Answer:

with 3 lenght

Step-by-step wexplanation:

Tell whether each number is rational or irrational.
0.121121112..

Answers

Assuming that the ".." at the end of the number represents it being continuous, then it would be irrational.

0.121121112.. is an irrational number but not rational.

What is Number system?

A number system is defined as a system of writing to express numbers.

0.121121112... is rational or irrational is to consider its decimal representation and whether it is a repeating or terminating decimal.

We can see that 0.121121112... is not a terminating decimal because it goes on forever.

Additionally, it is not a repeating decimal because there is no fixed pattern of digits that repeats continuously.

Therefore, we can conclude that 0.121121112... is an irrational number.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

In order to move in to a rental house, Sky and Max must pay a deposit of $1,500. At the end of one year, Sky and Max have spent a total of $11,280 on their rental costs. How much did they pay for their monthly rent payment? a. $750 b. $815 c. $940 d. $1,065 Please select the best answer from the choices provided A B C D

Answers

Answer:

It would be B. 815.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

On edge

Write the equation of a circle that has a center of (-2, 1)
and a radius 3.

Answers

Answer:

Step-by-step explanation:

(x + 2)^2 + (y -1 )^2 = 3^2

(x + 2)^2 + (y -1)^2 = 9

I have used Desmos to draw this for you. Notice that the center is not (2, -1) but is at -2,1 just as the question requested. The signs are always reversed when the center of a circle must be obtained by squaring the numbers in parenthesis.

Further two points are shown. The one you should pay attention to is (-2,4) which is 3 units away from the center. The other point is also 3 units away, but you have to use the distance formula which you may not be familiar with. If you measure it with a ruler, you will find it is the same distance away from the center as (-2,4) is Since they are equal, they both must represent the length of the radius.

if 10 men can do a piece of work in 3 days. how long will it take 5 men to do?​

Answers

6 because, 10 divided by 5 is 2 and if it takes 3days for 10men you do 10 divided by 2 which is 3

Which is 4 logx- 2 log(x-3) written as a single logarithm?

Answers

Answer:it’s C

Step-by-step explanation:

That’s the answer on edge

Find the approximate Perimeter of a regular hexagon that has an area of 36 mi2 and an apothem of 3.2 mi.
Area = 36 mi2

Answers

Answer:

Parameter of given regular hexagon = 22.32 mi (Approx.)

Step-by-step explanation:

Given:

Area of given regular hexagon = 36 mi²

Find:

Parameter of given regular hexagon

Computation:

Area of regular hexagon = [(3√3)/2]a²

[(3√3)/2]a² = 36

a² = [36 x 2] / 3√3

a² = [12 x 2] / √3

a² = 24 / √3

a² = 8√3

a² = 8 x 1.732

a² = 13.856

Side a = 3.72 mi (Approx.)

Parameter of given regular hexagon = 6 x Side

Parameter of given regular hexagon = 6 x 3.72

Parameter of given regular hexagon = 22.32 mi (Approx.)

What’s the slope??? Pleas help!!!

Answers

Answer:

-1/3

Step-by-step explanation:

Use this equation : slope= y2-y1/x2-x1

Dalgliesh the detective fancies himself a shrewd judge of human nature. In careful tests it has been discovered that he is right 80 percent of the time when he says that a ran­domly chosen suspect is lying. Dalgliesh says that Jones is lying. The polygraph expert, who is right 100 percent of the time, says that 40 percent of the subjects interviewed by Dalgliesh are telling the truth. What is the probability that Jones is lying?

Answers

Answer:

The probability that Jones is lying is 6/7

Step-by-step explanation:

First we will list out 2 different cases when the outcome is a lie

1.probability that Jones tells lies is = 0.6 and probability that dalgiliesh analyses it correctly is 0.8

So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48

2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie

So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08

Total probability of outcome being a lie is 0.48+0.08=0.56

But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7

Solve the equation. 3 -x+3-2x +2x+5​

Answers

Answer:

hi

Step-by-step explanation:

hiiii

please help me. Will mark u brainlyist.... Please don't put a randome answer if u don't know.

Answers

Answer:

105

Step-by-step explanation:

< 7 is also 105- they are alternate exterior angles

awnser plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

x = 12, x = -4.

Step-by-step explanation:

x² - 8x - 48 = 0.

This factors to (x - 12)(x + 4) = 0.

Proof:

(x - 12)(x + 4) = 0

first: x * x

outer: 4 * x

inner: -12 * x

last: -48.

first: x²

outer: 4x

inner: -12x

last: -48

x² + 4x - 12x - 48

x² - 8x - 48.

To find the zeros, take the individual pairs and find the values that make the equation 0.

x - 12 = 0

Add 12 to both sides.

x = 12.

x + 4 = 0

Subtract 4 from both sides.

x = -4.

Answer:

x= 4 + 2√5, x = 4 - 2√5

Step-by-step explanation:

So this is quadratics so you can solve it by completing the square and using the quadratic formula. The quadratic formula is x = (-b±√(b²-4ac)) / (2a).

Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received
c fewer cookies than she would have received had all of the cookies been evenly divided among the 8
grandchildren.
ining
How many cookies did Cindy receive?
Write your answer as an expression.

Answers

Answer:

12-c

Step-by-step explanation:

This is quite simple

We know grandma has made 96 cookies and IF all children 8 receive equal cookies

They would have 12 cookies each

Cindy got c less cookies

so we can say

12-c is what Cindy got

I guess grandma got hungry

Answer:

Step-by-step explanation:

98 = 8 = 12

cindy cookies = 12-c

Solve

270.6 is 16 1/2% of what number?


WILL GIVE BRAINLIST

Answers

Answer:

165 po ang sagot

Step-by-step explanation:

yan po talaga ang sagot

270 is 16 1/2%

270 x 0.165

=44.55
I hope this helped have a nice day

A line passes through the point (12,–4) and is perpendicular to the line with the equation y = 6x + 3. What's the equation of the line?

Answers

I'm just gonna so you how I got it

Step-by-step explanation:

6x - 3y - 5 = 0 has slope 6/3 = 2. A perpendicular line will have slope -1/2 (since slopes of two perpendicular lines must have a product of -1), so its general form will be 3x + 6y - a = 0.

Now to find a. We know a point on the line, (4,10), and so we plug those coordinates in:

3*4 + 6*10 - a = 0

12 + 60 - a = 0

72 = a

3x + 6y - 72 = 0.

We can simplify this by dividing all numbers by 3, getting:

x + 2y - 24 = 0

Help with these questions please!

Answers

Answer:

1) c = 25 cm

2) a = 11.532562594 cm

I hope it's helps you

Step-by-step explanation:

Using Pythagoras Theorem:

[tex]c = \sqrt{{a}^{2} + {b}^{2} }[/tex]

7.

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } \\ c = \sqrt{ {24}^{2} + {7}^{2} } \\ c = \sqrt{625} \\ c = 25[/tex]

8.

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } \\ a = \sqrt{ {13}^{2} - {6}^{2} } \\ a = \sqrt{133} \\ a = 11.5[/tex]

(cor. to the nearest tenth)

PLS HELP FAST NO LINKS
32 Ib 12 oz=_Ib

A.32.5
B.32.75
C.33
D.44

Answers

Answer:

option  C

Step-by-step explanation:

12 Is 1 pound

so 32 plus 1 is 33

I hope this helped!

Based on your knowledge of how to find the volume of prisms, how would you find the volume of a cylinder?

Answers

The formula is πr^2•h

is 3 a factor of twelve? write yes or no and give a reason for your answer

Answers

Answer:

Yes

Step-by-step explanation:

[tex] \frac{12}{3} = 4 \\ 3 \times 4 = 12[/tex]

Twelve can be used to divide 3 without having a remainder.

Answer:

yes

Step-by-step explanation:

The factor of 12 are:

1, 2, 3, 6, 12

Pls answer this for me. How many paving stones, each 1m long and 80cm wide, are needed to cover a compound 13.6m long and 11m wide?​

Answers

Answer: 187

Step-by-step explanation:

Given

Dimension of stone is [tex]1\ m\times 80\ cm[/tex]

Dimension of compound [tex]13.6\ m\times 11\ m[/tex]

Area of the stone

[tex]\Rightarrow a=1\times 0.8=0.8\ m^2[/tex]

Area of compound

[tex]\Rightarrow A=13.6\times 11=149.6\ m^2[/tex]

No of the stones needed is

[tex]\Rightarrow n=\dfrac{A}{a}\\\\\Rightarrow n=\dfrac{149.6}{0.8}\\\\\Rightarrow n=187[/tex]

Thus, 187 stones are needed

Which of the following number sentences is true?
A -9=9
B-9=-(9)
C 9=(-9)
D 9=-(-9)

Answers

Answer:

A and D are the true number sentences

In a family there is 1 mother and 1 father also 4 daughters who have one brother . How many family members are there

Answers

Answer:

There are 7 total family members.

Step-by-step explanation:

The mother and father make 2, the 4 daughters make 6, and they have one brother among them, making 7.

At the candy store, Sophie filled a bag with 2 2/3 kilograms of candy. 1/4 of the weight of the candy was from chocolate covered pretzels. How much did the chocolate covered pretzels in Sophie's bag weigh? ​

Answers

Answer:

The chocolate covered pretzels in Sophie's bag weighed [tex]\frac{2}{3} = 0.6667[/tex] kilograms.

Step-by-step explanation:

Sophie filled a bag with 2 2/3 kilograms of candy.

This means that the total weight is of:

[tex]2\frac{2}{3} = 2 + \frac{2}{3} = \frac{6}{3} + \frac{2}{3} = \frac{8}{3}[/tex]

The total weight is of 8/3 kilograms.

1/4 of the weight of the candy was from chocolate covered pretzels. How much did the chocolate covered pretzels in Sophie's bag weigh?

1/4 of 8/3. So

[tex]\frac{1}{4} \times \frac{8}{3} = \frac{1*8}{4*3} = \frac{2}{3} = 0.6667[/tex]

The chocolate covered pretzels in Sophie's bag weighed [tex]\frac{2}{3} = 0.6667[/tex] kilograms.

Please answer this asap

Answers

Step-by-step explanation:

F) Nine hundred thirty two and 76 hundredth

hope it is helpful to you

The answer is A and D
A is right because that is just the number written out

D is right because 9*100=900 and 3*10=30
So 900+30=930 then add 2 = 932

Now with the decimal we have to remember there is no oneth place it starts at tenths please then goes on 0= tenths place 7= hundredths place and 6= thousandths place


Hope this makes sense

Find the surface area of the right prism :​

Answers

Answer:

336 in²

Step-by-step explanation:

Surface area of triangular prism = bh + (s1 + s2 + s3)H

Where,

b = 6 in

h = 8 in

s1 = 10 in

s2 = 6 in

s3 = 8 in

H = 12 in

Surface area of triangular prism = 6*8 + (10 + 6 + 8)12

= 48 + (24)12

= 336 in²

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