Verify the identity sin^2x = cos^2x sec^2x-cos^2x

Answers

Answer 1

Answer:

Step-by-step explanation:

The right side of the identity

[tex]cos^{2} x sec^{2} x - cos^{2} x\\= cos^{2} x (\frac{1}{cos^{2} x} ) - cos^{2} x\\= 1 - cos^{2} x\\= sin^{2} x[/tex]

which is the same as the left side of the identity


Related Questions

PLEASE HELP IM BEGGING YOU ITS DUE IN 15 MIN ILL GIVE BRAINEST AND PTS

Answers

answer:

you just have to shrink it down to 4cm then to 2cm

i wish i could help out more, but i would need to have access to the form

hopefully, this helps anyhow :)

good luck

have a great day !!

ANSWER QUICK!!

Which of the following is an example of the ASCEND?

A. a bird landing on the ground
B. a hiker climbing a mountain
C. a car traveling through a tunnel
D. a submarine lowering below the surface

Answers

Answer:

answer is B

Step-by-step explanation:

he goes up

B
Ascend means to go upward and when the hiker climbs a mountain he is climbing upwards

PLEASE HELP!! EXPLANATION TOO PLEASE THANK YOU
(CLICK IN FOR THE PICTURE OF QUESTION)

Answers

Answer:

x=57

Step-by-step explanation:

a triangle has a sum of 180 degrees

that angle 51 is vertical to the angle across it so it is 51

we do math now

180-72-51=57

I hope this helped :))

Dorothy is thinking of two numbers. The sum of the two numbers is 40 and the difference is 6. Write a system of equations and use the elimination method to find the two numbers.

Answers

Answer:

x = 23

y = 17

Step-by-step explanation:

x = 1st number

y = 2nd number

System of Equations:

x + y = 40

x - y = 6;    this can be used as x = 6+y

6+y + y = 40

6 + 2y = 40

2y = 34

y = 17

x + 17 = 40

x = 23

I DARE YOU ALL TO DO THIS OR ESTIMATE THE TIME THIS WILL TAKE

100 Jumping Jacks

90 Jump Overs

80 Squats

70 Toe Taps

60 Shoulder Taps

50 Lunges (25 on each leg)

40 Burgeeps

30 V-Ups

20 Pushups

10 Air Punches

Answers

Thank you, you’ll motivate me to work out :)

question: determine whether the set of numbers in each table is proportional. if the relationship is proportional, identify the constant of proportionality. Explain your reasoning

Answers

Answer:

chicken wing chicken wing hot dog and baloney chicken and macaroni chillen with my homie

Step-by-step explanation:

PLSSS HELPP I BEGG What is the solution to the system of linear equations graphed below?​

Answers

Answer:

No solution

Step-by-step explanation:

because the are parallel lines they never meet so they are inconsistent so there is no solution

5x + 5(x - 18) = 0 x = ?

Answers

Hopes this helps:

Answer: 9

the volume in cm squared of a cube of edge 2cm is​

Answers

Answer:

volume = 2 x 2 x 2 = 8 cm²

Step-by-step explanation:

The function h is given by h ( t ) = ( 1 − t ) ( 8 + 16 t ) models the height of a ball in feet, t seconds after it is thrown.

Where are the zeros of the function?
______and______

Are both zeros meaningful and why?

At what height is the ball thrown?

Answers

9514 1404 393

Answer:

zeros: t = 1, t = -1/2no: the domain of the function is t ≥ 08 feet

Step-by-step explanation:

The zeros are the values of t that make the factors zero.

  1 -t = 0   ⇒   t = 1

  8 +16t = 0   ⇒   t = -8/16 = -1/2

The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.

Only the positive zero is in the function's domain, so that is the only one that is meaningful.

__

When t = 0 (at the time the ball is thrown), the function value is ...

  h(0) = (1 -0)(8 +0) = 8

The ball is thrown from a height of 8 feet.

If two expressions, 2x + 8 and 2 (x + 2) + k are equivalent, what is the value of k? Enter the value in the box.

Answers

2x+8=2(x+2)+k
2x+8=2x+4+k
k=4

Therefore k= 4, Hope this helps!! :)

After reading the article, why do you think that Hinduism and Buddhism are often taught together? In your opinion, what are some of the most important differences? HELP ME PLEASE HELP ME

Answers

Answer:

because they are both similar. they both accept the law of karma and release from the cycle of birth. one of the key differences is

buddhist only believe in one god. hinduism believes in multiple gods

Answer:

hey emanii

Step-by-step explanation:

An outlier is a data value that differs greatly from other
values in a data set.
Complete the statements about the outlier rule.
If any values in the data set are
the upper boundary, then
those values are upper outliers.
If any values in the data set are
the lower boundary, then
those values are lower outliers.

Answers

Answers:

Box 1:  Greater thanBox 2: Less than

So,

If any values in the data set are greater than the upper boundary, then those values are upper outliers.If any values in the data set are less than the lower boundary, then those values are lower outliers.

The general rule is that the upper boundary is found computing Q3+1.5*IQR, where IQR is the interquartile range. Recall that IQR = Q3-Q1. The Q1 and Q3 are the first and third quartiles respectively.

Another rule is that the lower boundary is found by computing Q1 - 1.5*IQR

On a box and whisker plot, outliers are points that are not connected to the main plot itself. You can think of them as islands far from the mainland.

If any values in the data set are greater than the upper boundary, then those values are the upper outliers. If any values in the data set are less than the lower boundary, then those values are lower outliers.

What are Outliers?

If a number in distribution is more than 1.5 times the length of the box away from either of the upper and lower quartile of the distribution, then that number is said to be an outlier.  

The lower quartile is [tex]Q_1[/tex] and the upper quartile of distribution is [tex]Q_3[/tex]

Then lower boundary is given by [tex]=Q_1-1.5\times IQR[/tex]

The Upper boundary is given by  [tex]=Q_3+1.5\times IQR[/tex]

If any number or value of the distribution is greater than [tex]Q_3+1.5\times IQR[/tex] then that is called Upper Outlier.

Similarly, if any value or number of the distribution is less than [tex]Q_1-1.5\times IQR[/tex] then that is called Lower Outlier.

So the answers in the boxes are given by:

Box 1: Greater than Box 2: Less than

Learn more about Outliers here -

https://brainly.com/question/3631910

#SPJ2


PLEASE HELP ME ASAPPPP

Answers

Answer:

The answer is

90 degrees the first one is I don't know about the rest sorry

Step-by-step explanation:

please answer aspa please i need it

Answers

Answer:

I think it's C

Step-by-step explanation:

Answer:

(4, 1)

Step-by-step explanation:

Since there's a graph, the answer is the intersection: (4, 1)

But here's the cancellation method for future use :)

Please help meh I keep getting it wrong im so sad

Answers

Answer:

1, 2 and 5

Step-by-step explanation:

Alex goes to the store to buy groceries . He has $20 to spend at the store.

Write an inequality to repesent the amount Alex can spend.

Answers

Answer:

20 ≥ x

Step-by-step explanation:

Alex has $20 or less to spend at the store

Find y. Give your answer in
the simplest form.

y =

Enter the number that belongs in the green box.

Answers

Answer:

y = 8 root 2

Step-by-step explanation:

Since it is a 90-45-45 triangle, y is s root 2

s = 8

so, y = 8 root 2

Answer:

y=8√2

Step-by-step explanation:

Because 2 of the angles are the same, the triangle is isosceles (because of base angles theorem). Therefore, x=8. Using Pythagoras theorem, y=8√2.

Question 6
Find the slope of the line that passes through the pair of points.
(-3, 2), (7, 2)

Answers

Answer:

Slope = 0

Step-by-step explanation:

Given the pair of points: (-3,2) (7,2)

Slope formula: y2-y1/x2-x1

2-2/7-(-3) = 0/10

0/10 = 0

can someone help me with algebra? i'm lost on everything. i'm a junior in high school.

Answers

Answer:

i can.

Step-by-step explanation:

Help me pls pls pls thanks I

Answers

Answer:

T (3 , -6)   O ( -6 , -4) and M (-9 , 6)

Step-by-step explanation:

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

Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a weird website.​

Answers

Casually puts a link to a weird website..

https://theuselessweb.com

*whistles*

Answer:

there is no solution-

Step-by-step explanation:

there's no solution because its impossible for a to have 2 different values; you see that 0.1 and 0.01 are not equal, therefore a can not be equal,, otherwise the equation would be false

Is anybody else here to help me ??​

Answers

Answer:

[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]

[tex]\cot(x)+\tan(x)[/tex]

[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]

[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]

[tex]\csc(x)[\sec(x)][/tex]

[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]

[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]

Step-by-step explanation:

I'm going to use [tex]x[/tex] instead of [tex]\theta[/tex] because it is less characters for me to type.

I'm going to start with the left hand side and see if I can turn it into the right hand side.

[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]

I'm going to use a cofunction identity for the 2nd term.

This is the identity: [tex]\tan(x)=\cot(\frac{\pi}{2}-x)[/tex] I'm going to use there.

[tex]\cot(x)+\tan(x)[/tex]

I'm going to rewrite this in terms of [tex]\sin(x)[/tex] and [tex]\cos(x)[/tex] because I prefer to work in those terms. My objective here is to some how write this sum as a product.

I'm going to first use these quotient identities: [tex]\frac{\cos(x)}{\sin(x)}=\cot(x)[/tex] and [tex]\frac{\sin(x)}{\cos(x)}=\tan(x)[/tex]

So we have:

[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]

I'm going to factor out [tex]\frac{1}{\sin(x)}[/tex] because if I do that I will have the [tex]\csc(x)[/tex] factor I see on the right by the reciprocal identity:

[tex]\csc(x)=\frac{1}{\sin(x)}[/tex]

[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

Now I need to somehow show right right factor of this is equal to the right factor of the right hand side.

That is, I need to show [tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex] is equal to [tex]\csc(\frac{\pi}{2}-x)[/tex].

So since I want one term I'm going to write as a single fraction first:

[tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex]

Find a common denominator which is [tex]\cos(x)[/tex]:

[tex]\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}[/tex]

[tex]\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}[/tex]

[tex]\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}[/tex]

By  the Pythagorean Identity [tex]\cos^2(x)+\sin^2(x)=1[/tex] I can rewrite the top as 1:

[tex]\frac{1}{\cos(x)}[/tex]

By the quotient identity [tex]\sec(x)=\frac{1}{\cos(x)}[/tex], I can rewrite this as:

[tex]\sec(x)[/tex]

By the cofunction identity [tex]\sec(x)=\csc(x)=(\frac{\pi}{2}-x)[/tex], we have the second factor of the right hand side:

[tex]\csc(\frac{\pi}{2}-x)[/tex]

Let's just do it all together without all the words now:

[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]

[tex]\cot(x)+\tan(x)[/tex]

[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]

[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]

[tex]\csc(x)[\sec(x)][/tex]

[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]

[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]

Solve the equation 5.5(x-3)=17+10.5

Answers

Answer:

x= 8

Step-by-step explanation:

5.5(x-3)=17+10.5

5.5x - 16.5= 27.5

5.5x= 44

x= 8

Answer:

x=8

Step-by-step explanation:

this is answer hdhshshshshshuebbdjidusgwbendjdihshe

Anyone knows the answer pls ????

Answers

The answer is 2.5 x 10^-15

Hope this helps.

I NEED HELP FAST PLEASEEEE ITS A TEST 15 PTS
x + y = z could be true or false. Show your work for the
following:
a. If x is 2, y is 6, and z is 10, is the equation true or false?
b. If x is 3 and y is 5, what value of z would make the equation
true?

Answers

Answer:

a. False

b. z = 8

Step-by-step explanation:

a. Equation answer:2 + 6 = 10 Real answer:2 + 6 = 8

b. 3 + 5 = 8

The population of rabbits in an area can be modeled with an exponential function. In the first count, there are 250 rabbits. One year later, there were 325. This trend continues for five years. What is a reasonable estimate for the number of rabbits five years after the first count?
A 550 rabbits
B 625 rabbits
C 714 rabbits
D 928 rabbits

Answers

the answer will be definitely be A don’t listen

last one it’s worth 10
Points losers

Answers

Answer:

why did you call us losers?

i think it's B

Please anyone ?? Helpp

Answers

Answer:

Does this count as stander form 6.95880148018

Step-by-step explanation:

The answers are
A. 1/3 cm/s
B. 1/2 cm/s
C. 2/3 cm/s
D. 3/2 cm/s

Please help!!

Answers

Answer:C

Step-by-step explanation:

C. 2/3 cm/s

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