Can anyone help me to verify identities

Can Anyone Help Me To Verify Identities

Answers

Answer 1

Answer:

Step-by-step explanation:

18.

LHS

[tex]\frac{cos^{2}a-sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a }{sin^{2}a.sin^{2}b} -\frac{sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a}{sin^{2}a}[/tex] × [tex]\frac{1}{sin^{2}b}[/tex] - [tex]\frac{sin^{2}b}{sin^{2}b}[/tex] × [tex]\frac{1}{sin^{2}a}[/tex]

= [tex]cot^{2}a[/tex] × [tex](1+cot^{2}b)[/tex] - 1 × [tex](1 + cot^{2}a)[/tex]

= [tex]cot^{2}a[/tex] + [tex]cot^{2}a.cot^{2}b[/tex] - 1 - [tex]cot^{2}a[/tex]

= [tex]cot^{2}a.cot^{2}b[/tex] - 1

Then you can conclude that LHS = RHS

19. It's weird. I tried a few ways like simplifying, dividing both numerator and denominator on LHS by tan or sin or cos but it didn't work out.


Related Questions

3⁸ × 3⁹ in index form simplified​

Answers

Answer:

6561 x 19683

Step-by-step explanation:

.............

7x3+1=22 divied by 2

Answers

Answer:

22/2=11 <-.-.-.-.-.-

Savannah decides to download some new music. she downloaded 5 albums and 7 singles, and his total was $71. The next day she purchased more music from the same retailer and downloaded 3 more albums and 6 singles for a total of $48.

Assuming that all albums and singles are the same prices, how much did she spend on each album and each single? Write a system of equations to represent this situation. Then solve for the solution using the elimination method.

Answers

Answer:

Step-by-step explanation:

downloaded= 5 albums and 7 singles and total price is $71

Know,

           album + singles = 5+7=  12

           ∴ price÷ from total of albums and singles

              $71÷12=$5.92

 per album     = $5.92

 per single     =  $5.92

Next day;

                3+6=9

    total price =$48

                 ⇒ =$48÷9 = $5.3

     per album= $5.3

     per album= $5.3

"""""  I just try to Solve """"""

Answer:  Singles are $3/each and albums are $10 each.

Step-by-step explanation:

Let A and S represent the number of Albums and Singles, respectively.

We are told that:

5A + 7S = $71

and also that:

3A + 6S = $48

We have two equations and 2 unknowns.  Use elimination to find the price of one and then that will tell us the price of the other.  I'll choose to eliminate the A:

5A + 7S = $71

3A + 6S = $48

We can do the elimination in one of 2 ways:

1)  Solve one of the equations for A or S, and substitute it in the other:

3A + 6S = $48

3A  = $48 - 6S

A  = ($48 - 6S)/3

Now use this definition of A in the first equation:

5A + 7S = $71

5(($48 - 6S)/3) + 7S = $71

5(($48 - 6S)/3) + 7S = $71

$80 - 10S + 7S = $71

-3S = - 9

S = $3

Now we can find A:

5A + 7S = $71

5A + 7(3) = $71

5A + 21 = $71

A = $10

======

2)  We could also modify one of the equations and then subtract to eliminate a variable:

5A + 7S = $71

3A + 6S = $48

Let's multiply the second equation by -(5/3):

-(5/3)*(3A + 6S = $48)

-5A - 10S = -90

Now add this to the first equation:

5A + 7S = $71

-5A - 10S = -80

  - 3S = - 9

S = $3 and therefore A = $10

please help urgently need help
change the subject to x
s=x2−3​

Answers

Equation =》s = x² - 3

To change the subject to 'x' :-

[tex]\tt\:s = x ^ { 2 } - 3[/tex]

[tex]\tt\:x^{2}-3=s[/tex]

[tex]\tt\:x^{2}=s+3[/tex]

So,

[tex]\boxed{\tt\:x=\sqrt{s+3}}[/tex]

[tex]\boxed{\tt\:x=-\sqrt{s+3}\text{, }s\geq -3}[/tex]

=》'x' can be any of the 2 values in the boxes.

_______

Hope it helps ⚜

Answer:

I agree with RainbowSalt2222

Step-by-step explanation:

It is correct exactly what I got

help me
[tex] \: [/tex]

if mCE =100° ,mCA =110° and CR is a diameter find

mAR
mER

ANSWER 6-10 PLSS
see the attachment plss
need properly answer
right answer get brainlist
nonsense answer will be reported
[tex] \: [/tex]

Answers

Step-by-step explanation:

#6mAR = mCR - mCA = 180° - 110° = 70°#7mER = mCR - mCE = 180° - 100° = 80°#8m∠CAR = 90° as CR is diameter#9m∠CRA = 1/2(mCA) = 1/2(110°) = 55°#10m∠ROE = m∠COR - m∠COE = 180° - 100° = 80°

Need help with this ASAP I’ll mark brainliest

Answers

Answer:

g = 30 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse g is equal to the sum of the squares on the other 2 sides , that is

g² = 18² + 24² = 324 + 576 = 900 ( take square root of both sides )

g = [tex]\sqrt{900}[/tex] = 30

Please help meeeee please please c

Answers

Answer:

the item would cost $9000

identify the construction that the figure represents

Answers

Answer:

  (b)  congruent segments

Step-by-step explanation:

One copies the length of a segment to make congruent segments. This is done by setting the compass radius to the length of the segment to be copied, then marking the segment length on another line using a given point as a center.

_____

Additional comment

The appearance here is that the segments are not actually congruent, so apparently a mistake has been made in the construction. No angles are shown, and there aren't enough points or arcs shown to support a conclusion that some other construction is being attempted.

Which of the following is not a subset of {1, 2, 3}?

{0}
{1, 2, 3}
Ø

Answers

Answer:

{0}

Step-by-step explanation:

{0} is not because 0 is not an element of set {1, 2, 3}

The null set is a subset of every set, so Ø is.

A set is a subset of itself.

3 divied \frac{3}{4}[/

Answers

Answer:

The answer is 4

Step-by-step explanation:

I did it and got it right

Please mark me as brainly

Please leave a 5 star review

Have a good day!

:)

In a sale, the price of a jacket is reduced.
The jacket has a normal price of £52
The jacket has a sale price of £41.60
Work out the percentage reduction in the price of the jacket.

Answers

Percentage reduction = 80%
J

If a number y has z positive integers factors, then y and 2z integer factors. True or false?​

Answers

Answer: TRUE

ANSWER IS IN THE PICTURE MARK ME BRAINLIEST!!

Answer:

true

Step-by-step explanation:

both of them are probably integers.

(fyi this is a question found in grade 8 mathematics text book in ethiopia page 64)

Find the perimeter. Simplify your answer.

Answers

Answer:

20v-6

Step-by-step explanation:

To find the perimeter we have to add up all of our sides

9v-6+9v-6+2v+6

Combine light terms

20v-6

What is the slope-intercept form and slope and y-intercept of the problem: -4x+2y=10?

Answers

Answer:

slope intercept is y=mx+b where m is the slope and b is the y intercept

so the slope is 2 and the y intercept is 5 so the equation is y=2x+5

Step-by-step explanation:

You make a scale drawing of a garden plot using the scale 2 in. 517 ft. If the length of a row of vegetables on the drawing is 3 in., how long is the actual row?
a. 17 ft b. 25.5 ft c. 34 ft d. 42.5 ft

Answers

The answer would be B- 25.5

PLEASE HELP


What is the slope of the line?

Answers

Step-by-step explanation:

you know what the slope of the line is ? it is the inclination of the line. how strongly is it going up or down, or is it maybe flat ?

in the formulas the slope is always the factor of x. the slope is excised as ratio of y coordinate change / x coordinate change when going from one point to another.

we see here 2 clear points in my opinion :

(0, -3) and (3, 0)

that is where the line crosses the y and the coordinate axis.

so, going from (0, -3) to (3, 0) :

x changes by +3 (from 0 to 3)

y changes by +3 (from -3 to 0).

so, the slope is

+3/+3 = 1

13.065
-0.07
_________

Answers

Answer:

12.995

Step-by-step explanation:

If you divied 5,500,000 divied by 8,800,000 what is the answer??

Answers

Answer:

0.625

Step-by-step explanation:

Just do, 5500000/8800000

Answer:

0.625

Step-by-step explanation:

Because I simplified the fraction

In a Quiz points are rewarded for each correct answer while points are deducted for each incorrect answer. In the first round, Ethan answered all the questions correctly. In the second round, he answered 8 questions incorrectly. If 3 points are deducted for each incorrect answer, by how much does Ethan’s score change in the second round?

Answers

Answer:

24 points

Step-by-step explanation:

3x8 is 24

Find x special right triangle

Answers

Answer:

This is a 45 45 90 triangle, so v=[tex]\sqrt{2}[/tex]. The side opposite the right angle in a 45 45 90 triangle is equal to the length of the other sides * [tex]\sqrt{2}[/tex].

Therefore, u=2, because [tex]\sqrt{2}[/tex]*[tex]\sqrt{2}[/tex]=2. So, your answer is A, 2.

Step-by-step explanation:

We know, sum of all angles of a triangle is 180°.So, 180° - (90+45)° = 45°So, the angle which is not given is 45°.The opposite angles of the triangle are equal, so the opposite sides of the triangle are also equal.Therefore, v = √2.[tex] {u}^{2} = \sqrt{(2)} ^{2} + {( \sqrt{2)} }^{2} \: \: \: (by \: \: pythagoras \: \: theorem)\\ => {u}^{2} = 2 + 2 \\ = > {u}^{2} = 4 \\ = > u = 2[/tex]

Answer:

2

Hope you could understand.

If you have any query, feel free to ask.

a transversal shown below.

true or false

Answers

Answer:

true. the line is passing through 2 lines at the same time

Step-by-step explanation:

you're welcome :)

leena bakes a loaf of bread. She eats 1/8 of the loaf and gives 1/6 of it to each of her 3 friends. What fraction of the loaf of bread is left

Answers

Answer:

3/8

Step-by-step explanation:

So, Leena eats 1/8 of the bread first.

Now, she gave 1/6 of the bread to EACH of her 3 friends.

So you will need to do 1/6*3, which is 3/6=1/2.

Now you want to do 1/8+1/2 = 1/8+4/8 = 5/8.

This means 5/8 of the bread is gone.

Now you will need to do 1-5/8 = 8/8-5/8=3/8.

Therefore, 3/8 of the bread is left.

I hope this helps!

someone help me do this

Answers

Answer:

12 children

Step-by-step explanation:

For this problem we can look for the GCF

The 60's factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, and 60

Pretty sure you get it now

Anyways once we've done all of the Factoring we can look for the GCF

Which we would get as twelve

So the supplies can be distributed amongst 12 children equally

HELP PLEASE ILL GIVE U BRAINLIEST

Answers

Answer:

number 3

Step-by-step explanation:

angleNGL=~angleHGF

Answer:

NG≅GF

Step-by-step explanation:

Since the side has to be in between the two angles so it from a ASA

The angles ∠N is the same as ∠F and ∠NGL is the same as ∠HGF

help pls ill give u brainliest ​

Answers

Answer:

x=1

Step-by-step explanation:

Sandra baked 9 pies that weigh 81/4 pounds total. How much does each pie weigh?

Answers

Answer:

2 1/4 ×9

= 9/4 ×9

= 81/4

= 20 1/4

Step-by-step explanation:

81/4/9

= 81/4 × 1/9 (Reciprocal)

= 9/4 pounds  

= 2 1/4 pounds

Answer:

11/12 lb

Step-by-step explanation:

I think you mean 8 1/4 lb.

(8 1/4)/9 = 33/4 × 1/9 = 33/36 = 11/12

Answer: Each pie weight 11/12 lb.

PLS ANSWER IM BEGGING PLS

Answers

Answer:

x = 3

Step-by-step explanation:

This is an isosceles triangle.  Two angles (D and F) are equal because the sides opposite them are equal (or vice versa).

Thus, side DE = side EF, or

12x - 8 = 4x + 16

Combining like terms:  8x = 24

Thus, x = 24/8 = 3

x = 3

5(2x + 1) = 50
Help me plsss

Answers

Answer:

x=9

Step-by-step explanation:

shape it helps

byeeeeee

Solve 7.25x + 10 = 2.25x + 25 for x.

Answers

Answer:

x=3

Step-by-step explanation:

State the domain and range of the relation:
{(1,3), (2, 4), (3,5), (-1,3), (-2, 4), (-3,5))

Answers

Answer: Domain is {-3, -2, -1, 1, 2, 3}. Range is {3, 4, 5}

Step-by-step explanation:

Domain in x values and therefore -3, -2, -1, 1, 2, 3. The range is y-values and you don't have to repeat same values making the range 3, 4, 5

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