(1 - cos ß)(1 + cos ß) =1/cosec^2(ß)

Answers

Answer 1

Step-by-step explanation:

L.H.S=(1-cosB)(1+cosB)

=(1-cos^2B). {using (a+b) (a-b)=(a^2-b^2)in second step}

=sin^2B

=1/cosec^2B

Therefore,L.H.S=R.H.S proved


Related Questions

complete the identity

sin 2x - cot x​

Answers

Answer:

Solve the scientific Calculator

Can some one
help please I don’t understand this problem.
This is for regular Geometry.

Answers

This is the answer. Hope it helps

5x − 8( 1 + 7x ) = −8

Answers

Answer:

x = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

5x - 8(1 + 7x) = -8

Step 2: Solve for x

Distribute -8:                              5x - 8 - 56x = -8Combine like terms:                  -51x - 8 = -8Isolate x term:                            -51x = 0Isolate x:                                     x = 0

Step 3: Check

Plug in x into the original equation to verify it is a solution.

Substitute in x:                    5(0) - 8(1 + 7(0)) = -8Multiply:                               0 - 8(1 + 0) = -8Add:                                      -8(1) = -8Multiply:                                -8 = -8

Here we see that -8 does indeed equal -8.

∴ x = 0 is a solution of the equation.

geometry!! please help :(

Answers

Answer:

3

Step-by-step explanation:

Brianna answers 5 questions for each chapter of a book she reads in English class.
Write an equation to represent the total number of questions, q,Brianna answers based on the number of chapters, C,
in the book she reads.
Enter your equation in the box.

Answers

Answer:

q=5c

Step-by-step explanation:

q is the total number of questions, so the other numbers/variables must be multiplied together to equal q.

c is the number of chapters read, so that must be multiplied by 5 (questions per chapter) in order to equal q.

PLEASE HELP ASAP!!!!!!!!
A
B
C
D

Answers

The graph that represents the function is graph b. Graph b is the only graph the appropriately represents the y intercept (the value of y when x = 0).

Which table represents a function?

Answers

Answer:

D

Step-by-step explanation:

What numbers would be in the in the 4 sections of a 2 x 2 array that shows the problem 19 x 11?
100, 100, 90, 9
100, 10, 90, 9
100, 90, 10, 1
10, 10, 9, 9

Answers

Answer:

100, 90, 10, 1

Step-by-step explanation:

Hi can u please help me with this ASAP

Answers

Answer: an altitude

Step-by-step explanation:

How many terms are in the expression when simplified

Answers

Answer:

There are four (4) different terms

Step-by-step explanation:

Given;

2x + 3xy - (x + y) + 2

The terms are simplified as follows;

=2x + 3xy - (x + y) + 2

= 2x + 3xy - x - y + 2

collect like terms;

= 2x - x  - y + 3xy + 2

= x - y + 3xy  + 2

Thus, there are four (4) different terms in the simplified expression.

what is approximately equal to
[tex] \sqrt{47} [/tex]
A: 40
B: 7
C: 16
D: 9.4​

Answers

Answer:

d

Step-by-step explanation:

d

PLEASE HELP MEEE!!!Which fraction is equivalent to a ratio of 3 to 4?

Answers

Answer:

3/4

Step-by-step explanation:

Just swap the colon (:) for a slash (/)

Answer:

Any of these should work for ya :)

 3/4 = 6/8 = 9/12 = 12/16

= 15/20 = 18/24 = 21/28 = 24/32

= 27/36 = 30/40 = 33/44 = 36/48

= 39/52 = 42/56 = 45/60 = 48/64

= 51/68 = 54/72 = 57/76 = 60/80

= 63/84 = 66/88 = 69/92 = 72/96

= 75/100 = 78/104 = 81/108 = 84/112

= 87/116 = 90/120 = 93/124 = 96/128

= 99/132 = 102/136 = 105/140 = 108/144

= 111/148 = 114/152 = 117/156 = 120/160

= 123/164 = 126/168 = 129/172 = 132/176

= 135/180 = 138/184 = 141/188 = 144/192

= 147/196 = 150/200 = 153/204 = 156/208

= 159/212 = 162/216 = 165/220 = 168/224

= 171/228 = 174/232 = 177/236 = 180/240

= 183/244 = 186/248 = 189/252 = 192/256

= 195/260 = 198/264 = 201/268 = 204/272

= 207/276 = 210/280 = 213/284 = 216/288

= 219/292 = 222/296 = 225/300 = 228/304

= 231/308 = 234/312 = 237/316 = 240/320

= 243/324 = 246/328 = 249/332 = 252/336

= 255/340 = 258/344 = 261/348 = 264/352

= 267/356 = 270/360 = 273/364 = 276/368

= 279/372 = 282/376 = 285/380 = 288/384

= 291/388 = 294/392 = 297/396 = 300/400

<3 Enjoy,

    Dea

Determine the intercepts of the line.
7x-5=4y -6
X-intercept:
y-intercept:

Answers

Answer:

x-intercept : (-0.1429,0)

y-intercept : (0,0.25

Can someone help and explain and do the solution pls :(

Answers

Consider ∆JWZ and ∆JKZ

WZ~KJ (given)

/ WZJ~/ KJZ (given)

JZ~JZ (common)

Therefore,

∆JWZ~∆JKZ by SAS congruence rule.

JW~ZK by CPCT.

if you're at the state fair with some friends and deciding between buying a jumbo pack of 50 ride tickets for $45 or medium pack of 30 ride tickets for $28.50 which pack is the better deal jumbo or medium now say sorry

Answers

the jumbo pack is a better price!

i love you man


SAY IT BACK

SAY IT BAAACK

Answers

Answer:

I´m good

Step-by-step explanation:

Answer:

I love myself

and you

PLEASE I NEED THE ANSWER TO 1 + 1

Answers

Answer:

uhhhhh 3

Step-by-step explanation:

Answer: 2

Step-by-step explanation: I know, hardest question known to man.

I need to find the area of these if you do it I will give you a 5-star rating and share you with other people brainiest included

Answers

Answer:

get up a calculator and multiply the numbers and it will give you an answer

Step-by-step explanation:

hope this helps

- 10x – y = -29
10x + 7y = 23

Answers

Answer:

x=3 and y=−1

Step-by-step explanation:

( PLEASE HELP , TIMED ) A pet supply store sells three dog collars and two leashes for $59.75. The same pet store sells one dog collar and three leashes for $53.75. Find the cost of one dog collar and one leash.

Answers

Answer:

how can i help also comment me i wanna talk bc im lonely lol

Step-by-step explanation:

The cost of one dog collar and one dog leash are 10.25 dollars and 14.5 dollars respectively

How to form an equation?

let

the cost of each dog collars = x

the cost of each leashes = y

Therefore,

3x + 2y = 59.75

x + 3y = 53.75

Hence,

3x + 2y = 59.75

3x + 9y = 161.25

7y = 101.5

y = 101.5 / 7

y = 14.5

Therefore,

x + 3y = 53.75

x + 3(14.5) = 53.75

x = 53.75 - 43.5

x = 10.25

learn more on equation here: https://brainly.com/question/12060253

#SPJ2

On a test, Alice had 80% of the problems right. If she had
20 problems correct, how many questions were on the test?
Show work please

Answers

Answer: she would get 100%

Step-by-step explanation: every correct question u get 5 points so 20 * 5 = 100

Answer:

25

Step-by-step explanation:

80% = 0.80

0.80x = 20

0.80x/0.80 = 20/0.80

x = 25

So there was 25 questions on the test

Plz Help!
The population of Mathville is 8x10^5. The population of Algeville is 2x10^5. What is the difference in the populations?

Answers

600000! you do the equation for both and subtract them from each other:)

7. Gary wants to buy a video game with a
selling price of $48, on sale for 50% off.
The sales tax in his state is 4.5%.
a. How much will Gary have to pay in all?

Answers

Answer:

25.08

Step-by-step explanation:

48 * 50% = 24

24 * 4.5% = 1.08

24 + 1.08 + 25.08

find the slope of the line that passes through the points (0, 6) and (20, 14).

Answers

Answer:

2/5

Step-by-step explanation:

Over the interval [0, 2π), what are the solutions to cos(2x) = cos(x)? Check all that apply.

0

StartFraction pi Over 3 EndFraction

StartFraction 2 pi Over 3 EndFraction

Pi

StartFraction 4 pi Over 3 EndFraction

StartFraction 5 pi Over 3 EndFraction

Answers

Answer:

Step-by-step explanation:

given the expression;

cos(2x) = cos(x)

According to trig identity;

cos(2x) = cos(x+x)

cos(2x) = cos x cos x - sinx sinx

cos(2x) = cos²(x)-sin²(x)

cos(2x) = cos²(x)-(1-cos²x)

cos(2x) = cos²(x)+cos²x-1

cos(2x) = 2cos²(x)-1

2cos²(x)-1 = cos(x)

let P = cosx

2P²-1 = P

2P²-P-1 = 0

Factorize;

2P²-2P+P-1 = 0

2P(P-1)+1(P-1) = 0

2P - 1 = 0 and P-1 = 0

P = 1/2 and 1

cosx = 1/2 and cos x = 1

x = arccos 1/2

x = π/3

Also;

x = arccos1

x = 0

Hence the value of x are 0 and  π/3

Also the angle = π+ π/3 = 4π/3

The angles are 0, π/3 and 4π/3

Answer:

a,c,e

Step-by-step explanation:

I need help now I do not know what the answers are and this is due tonight

Answers

I can help with the first problems!

These are your best years. Trust me.

Blanca creates decorative wall hangings. She wants to look at the relationship between the diagonal length of the hangings and their weight. The data show a linear pattern with the summary statistics shown below: standard deviation = diagonal length (inches) 7 = 24.1 = 12 y = weight (pounds) y = 12.9 S = 16.2 0.0 Find the equation of the least-squares regression line for predicting the weight of the wall hanging from its diagonal length. Round your entries to the nearest hundredth​

Answers

Answer: y=-16.38+1.22x

Step-by-step explanation:

Answer:y=-16.38+1.22x

Step-by-step explanation:

Stephanie gets an average of 11 calls during her 8 hour work day. What is the probability that Stephanie will get more than 4 calls in a 2 hour portion of her work day

Answers

Answer:

0.145

Step-by-step explanation:

Suppose λ = average number of an event occurring in an interval of a presented  length; &

x =  no. of events occurring in an interval length t

Thus, x has a Poisson distribution with parameter λt.

i.e.

[tex]P[X=k] = \dfrac{(\lambda t)^k\times e^{-\lambda t}}{k!} \ \ \ where; k = 0,1,2 ...[/tex]

Given that:

The average number of call every 8 hours = 11

Then, the parameter for the Poisson process [tex]\lambda =\dfrac{11}{8}[/tex]

where;

t = 2 hours

[tex]\lambda t = \dfrac{11}{8}\times 2[/tex]

[tex]\lambda t = \dfrac{11}{4}[/tex]

Also,

x = no. of calls occurring at an interval of length 2

The required probability is as follows:

P(x > 4) = 1 - [P ( x≤ 4) ]

[tex]=1 - [ P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) ][/tex]

[tex]= 1 - \bigg [ \dfrac{(\dfrac{11}{4})^0 \times e^{-11/4}}{0!}+\dfrac{(\dfrac{11}{4})^1 \times e^{-11/4}}{1!}+ \dfrac{(\dfrac{11}{4})^2 \times e^{-11/4}}{2!}+ \dfrac{(\dfrac{11}{4})^3 \times e^{-11/4}}{3!}+ \dfrac{(\dfrac{11}{4})^4 \times e^{-11/4}}{4!} \bigg ][/tex]

[tex]= 1 - \begin {bmatrix} 1 + \dfrac{11}{4} + \dfrac{\bigg (\dfrac{11}{4}\bigg)^2}{2}+\dfrac{\bigg (\dfrac{11}{4}\bigg)^3}{6}+\dfrac{\bigg (\dfrac{11}{4}\bigg)^4}{24} \end {bmatrix} e^{-11/4}[/tex]

[tex]= 1 - [ 1 + 2.75 + 3.78125 + 3.466145833 + 2.3829] \ e^{-11/4}[/tex]

= 1 - [13.38037]× 0.06393

= 1 - 0.855407

= 0.14459

≅ 0.145    ( to  3 decimal place)

im doing a review for my class I've blurred my name but im struggling getting to understand some of these

Answers

Wait wait wait wait ayee ayee wooooo

help its 50 percent of my grade

Answers

Answer:A=144 P=40

Step-by-step explanation:

Answer:

Area is [tex]96^{2}[/tex] feet

Perimeter is 40ft

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