Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}
1+sinθ

cosθ
=
cosθ

1−sinθ

$Prove That \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}1+sincos$

Answers

Answer 1

Answer:

sin^2(θ)+cos^2(θ)=1

Step-by-step explanation:

We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.

To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ

Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.

Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.

$Prove That \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}1+sincos$

Answer 2

Hope it helps.

If you have any query, feel free to ask.

$Prove That \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}1+sincos$

Related Questions

Write with rational exponents. Be sure to show your work and simplify your answer. See the file below.

Answers

Answer:

(12ab)^1/2

Step-by-step explanation:

(⁶√12ab)³

= [(12ab)^1/6]³

= (12ab)^(1/6 * 3)

= (12ab)^1/2.

If −x+8y=−3 is a true equation, what would be the value of 2(−x+8y)?

Answers

Answer: -6

Step-by-step explanation:

If −x+8y=−3 is a true equation, we plug in -3 for -x + 8y, we get 2(-3) = -6.

given the sequence: 4; x ; 32 determine the value(s) of x if the sequence is geometric

Answers

Answer:

The possible values of x are ±8 sqrt(2)

Step-by-step explanation:

To find the value of x, we find the geometric mean

sqrt(32*4 )= sqrt(128) = ±8 sqrt(2)

The possible values of x are ±8 sqrt(2)

Graham earns $6 for every crate of oranges he picks.
Lynn earns $5 per hour babysitting.
How many crates of oranges does Graham need to pick to earn the same amount
that Lynn earns for 12 hours of babysitting?
Enter your answer in the box.

Answers

Graham needs to pick 10 more oranges to have the same amount I think

Step-by-step explanation:

so first multiply 5 and 12 which is 60

5*12=60

then divide 60 from 6 or 6 from 60

60÷6= 10

GEOMETRY QUESTION PLZ HELP.

Answers

Answer:

From left to right:

90° (clockwise or counterclockwise)

45° (clockwise or counterclockwise)

72° (clockwise or counterclockwise)

Step-by-step explanation:

360/4 = 90°

360/8 = 45°

360/5 = 72°

Britton simplified an expression and got 1 108 for his answer. If he simplified correctly, which expression did Britton simplify?

Answers

Answer:

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divideStep-by-step explanation:

At an ice cream shop, 4 of the last 12 cones sold had chocolate ice cream. Considering this data, how many of the next 15 cones sold would you expect to have chocolate ice cream?

Answers

Answer:

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(chocolate)

chocolate

total

The experimental probability is

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

(315)

(315) Multiply both sides by (315)

115

= 3n Simplify

= n Divide both sides by 3

You would expect 5 of the next 15 cones sold to have chocolate ice cream.

Complete each blank using the given information for a square.

Answers

Given:

The side of the square = [tex]9\sqrt{6}[/tex] m

To find:

The diagonal of the square.

Solution:

We know that the diagonal of a square is:

[tex]d=a\sqrt{2}[/tex]

Where, d is the length of diagonal and a is the side of the square.

Putting [tex]a=9\sqrt{6}[/tex], we get

[tex]d=9\sqrt{6}\sqrt{2}[/tex]

[tex]d=9\sqrt{12}[/tex]

[tex]d=9(2\sqrt{3})[/tex]

[tex]d=18\sqrt{3}[/tex]

Therefore, the diagonal of the square is [tex]18\sqrt{3}[/tex] m.

find f(3) if f(x)=-3x-6

Answers

Answer:

-3(3)-6=-15

Step-by-step explanation:

Any helpers? Need help asap

Answers

Answer: positive: up down/ up up negative: down up down down

Step-by-step explanation:

Positive is up-down and up-up

Negative is down-up and down-down

Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______ in. Cannot form a triangle.

Answers

Answer:

[tex]c = 11[/tex]

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

[tex]a = b= 5[/tex]

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: [tex]a = b= 5[/tex]

[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]

[tex]5 + c > 5[/tex] [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]

Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]

[tex]0 < c < 10[/tex]

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

[tex]c = 11[/tex], since no options are given

Solve for kkk. \dfrac{3}{k} = \dfrac{4}{5} k 3 = 5 4 start fraction, 3, divided by, k, end fraction, equals, start fraction, 4, divided by, 5, end fraction k =k=

Answers

Answer: [tex]\dfrac{15}{4}[/tex]

Step-by-step explanation:

Given

[tex]\Rightarrow \dfrac{3}{k}=\dfrac{4}{5}[/tex]

Apply cross-multiplication

[tex]\Rightarrow K=3\times \dfrac{5}{4}=\dfrac{15}{4}\\\\\Rightarrow k=3\ \dfrac{3}{4}[/tex]

The value of k is [tex]\dfrac{15}{4}\ \text{or}\ 3\ \dfrac{3}{4}[/tex]

Answer:

15/4

Step-by-step explanation:

A jar contains 4 green marbles 2 pink marbles 3 striped marbles. One marble is picked at random and then replaced. Then another marble is drawn at random again. What is the probability that both marbles are striped?

Answers

Answer:

3 out of 9 but if they ask to simplify its one third

Step-by-step explanation:

Loll does anyone know what a capital character is. This is for CFM LOL

Answers

Answer:

The required ansswers

Step-by-step explanation:

23.Character

24.Capital

25.Capacity

Step-by-step explanation:

23.character

24.capital

25. capacity

hope it is helpful to you

Can someone help me please

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: (-10,-2)

Just multiply the points by 2

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

(-10,-2)

Step-by-step explanation:

is the relation shown below a function? Explain.
(4, 16), (5, 25), (3, 9), (6, 36), (2,4), (1, 1)

Answers

Answer:

4•4=16

5•5=25

3•3=9

6•6=36

2•2=4

1•1=1

A bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is not yellow.

Answers

Answer:

There is a 9/10 probability that the marble will not be yellow.

Step-by-step explanation:

If there are a total of ten marbles, and there is one yellow marble, there is a

1 yellow marble / 10 total marbles chance of getting a yellow marble. Then subtract it from 10/10 to get the probability of NOT getting a yellow marble.

10/10 - 1/10 = 9/10.

Answer:

9/10

Step-by-step explanation:

I THINK I THINK I THINK

If 40% of a number is 112 and 95% of the same number is 266, find 55% of that number.

Answers

Answer:

154

Step-by-step explanation:

.4 x 112 = 280

.95 x 266 = 280

.55 x 280 = 154

I need help please and thank you
no links

Answers

Answer:

5x-15=2x+21

5x-2x=21+15

3x=36

x=12

b= 45°

An orchestra has 100 musicians 4/10 of them play string instruments-violin , viola, cellodouble bass , guitar, lute, and harp. What decimal is equivalent to 4/10 ?

Answers

4/10 = 4 tenths = 0.4

Hope this helps!

Kris claims that the two figures must be congruent.

Two triangles have angles 100 degrees, 50 degrees, and 30 degrees.

Which statement best describes his claim?
He is correct because both figures are triangles.
He is correct because the measures of the angles are the same in both figures.
He is incorrect because the triangles are not oriented the same way.
He is incorrect because the lengths of the corresponding sides of the figures are unknown.

Answers

Answer: it’s D) the last one

Which graph correctly solves the equation below?
-x² – 1 = 2x^2 – 4

Answers

Answer: Hope this helps. I didn't see any graphs posted on your question.

Step-by-step explanation:

y = -x²-1

y = 2x²-4

Edit: posted wrong screenshot :/

here is the actual one lol

just help me out with this

Answers

1st and 3rd and 4th are yes
2nd and 5th are totally incorrect

What is the area of the rectangle with the given dimensions? *

The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?

F 6x2 - 9x - 15
G 6x2 - 9x + 15
H 6x + 9x - 15
J 6x - 15x - 9

Answers

Given:

The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex].

To find:

The expression that represents the area of the rectangle in simplest terms.

Solution:

Area of a rectangle is:

[tex]Area=Length\times Width[/tex]

The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex]. So, the area of the given rectangle is:

[tex]Area=(2x-5)\times (3x+3)[/tex]

[tex]Area=2x(3x)+2x(3)-5(3x)-5(3)[/tex]

[tex]Area=6x^2+6x-15x-15[/tex]

[tex]Area=6x^2-9x-15[/tex]

Therefore, the correct option is F, i.e., [tex]6x^2-9x-15[/tex].

Write an equation of the line. Express the answer using either the general form or the slope-intercept form of the equation of a line.

Answers

Answer:

y=x-4

Step-by-step explanation:

The graph intercepts the y-axis at -4 and when you do rise over run you get 4/4 which is just equal to 1 so there would not be a coefficient in front if x

What is the quotient of 5 1/2 ÷ 3/8?

Answers

Answer:

14 2/3

Step-by-step explanation:

It's easiest to convert 5 1/2 to the improper fraction 11/2.

Then the problem calls for dividing 11/2 by 3/8, which, in turn, is equivalent to

the product of 11/2 and 8/3:

11 8

---- * ----- = 88/6 or 44/3 or 14 2/3

2 3

Optionally you could convert to mixed decimal fractions:

5.5

---------- = 14 2/3 (same as before)

0.375

Answer:

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

Step-by-step explanation:

Same i am not that questin pls help

Which of the following units is most appropriate to measure the perimeter
of a park?
A. square inches
B. square meters
C. millimeters
D.meters

Answers

the answer is: b, square meters

What is the Sector area with radius 6 and an angle of 50°? Use 3.14 for pi.

Answers

Answer:

15.7 units²

Step-by-step explanation:

The sector area is 50/360 times the area of the circle (since the central area of a complete circle is 360° and that for the sector is 50°), or

Sector area = (50/360)(3.14)(6 units)² = 15.7 units²

120 to 140 *
Not Finished
86% increase
14% increase
86% decrease
17% increase

Answers

16.66666667 % increase or 17%

what is the value of a and b

Answers

hey i would answer but you didn’t provide enough context! make sure to upload images with your question hun.

Other Questions

What is 2.4% as a decimal Leaper Corporation uses an activity-based costing system with the following three activity cost pools: Activity Cost Pool Total Activity Fabrication 50,000 machine-hours Order processing 200 orders Other Not applicable The Other activity cost pool is used to accumulate costs of idle capacity and organization-sustaining costs. The company has provided the following data concerning its costs: Wages and salaries $ 450,000 Depreciation 185,000 Occupancy 205,000 Total $ 840,000 The distribution of resource consumption across activity cost pools is given below: Activity Cost Pools Total Fabrication Order Processing Other Wages and salaries 35% 30% 35% 100% Depreciation 20% 50% 30% 100% Occupancy 35% 30% 35% 100% The activity rate for the Order Processing activity cost pool is closest to:_______.A. $2,755 per order B. $1,445 per order C. $1,138 per order D. $983 per order What is an advantage and disadvantage of OPEN ended questions? Under the Espionage and Sedition Acts, what activity caused some people to be put in jail? a. expressing antiwar viewpoints b. speaking German c. hiring womend. eating meat on Tuesdays write an algorithm to print the natural numbers from 1 to 15 At your full-service. 500 room hotel, typically, 1/4 of the guests will requestroom service per day. How many room service calls will likely be received inthe next 7 days?a.850b.875c.900d.925 find the volume of the sphere radius is 20 meters What do the Aborigines call Ayers Rock?The Coral RockThe Great Barrier ReefUluruThe Outback Rock If you go twice as fast, your kinetic energy becomes. A.2 times smallerB.4 times smallerC.2 times biggerD.4 times bigger This desert has not received rain for weeks. Now that a storm has arrived in the area, how will the environmental change most likely affect the stability of this ecosystem? A. The rain will cause the desert to maintain the same level of stability, as the rain will temporarily provide animals and plants with water. B. The rain will cause the desert to become more stable, as the rain will provide animals and plants with a single large reserve of water. C. The rain will cause the desert to become more unstable, as the rain will wash away all the nutrients from the soil before they are absorbed. D. The rain will cause the desert to become alternately stable and unstable, as the rain will be consumed by plants before it reaches animals. Guys I want your help I need as many answers as I am working on a questionnaire.-important events in your life or experiences that make you feel more like an adult.Think of why these events became a turning point in your life.How did you realize you were growing up, that you actually became in adult? Balance the following skeleton reaction in acidic solution (if the coefficient is 1, put 1; if the coefficient is 0, put O) and identify the oxidizing and reducing agents. For the oxidizing and reducing agent, enter numbers and +/- directly for superscripts and subscripts. (eg. enter HCO3- for HCO3-, Cu2+ for Cu2+) Cr2012-(aq) + Zn(s) Zn2+(aq) + Cr3+(aq) Cr20-2-(aq) + Zn(s) + H+(aq) + H20(1) > Zn2+(aq) + Cr3+(aq) + H+(aq) + H2O(1) (acidic) Oxidizing agent: Reducing agent: You deposit $4,400 into a bank account with an annual simple interest rate of 2.1%. a. How much interest does the account earn in 15 months? b. What is the balance of the account after 15 months? PLEASE HELP! OFFERING 20 POINTS, EVEN THOUGH IM RUNNING OUT OF POINTS DUE TO THE AMOUNT OF QUESTIONS I HAVE BEEN ASKINGFor the following situation, which inequality would you use to describe it?The library is having a party for any student who read at least 25 books over the summer. Priya read x books and was invited to the party. Which of the following information would be found in the Georgia constitution but NOT in the United States Constitution? 43a *A Information on the structure of the Legislative BranchB Information on the titles of the officers in the Executive BranchC Information on how taxes will be used to fund educationD Information on how to create courts for the Judicial Branch how do you solve explain 32+10-8+2-3 what is the average rate of change of the function f(x) over the interval [1,3] rounded to the nearest whole number f(x)=6(2.5) ComprensinA. Explica las relaciones causa-efecto en cada caso. Identifica la causa y el efecto y describe larelacin entre ambos.1. degradacin del terreno - sobreexplotacin2. porcentaje pequeo de la poblacin controla la riqueza - desigualdad social3. erupciones volcnicas y terremotos - regin de actividad volcnica y ssmica Mrs. Phillips has some cans of peas, beans, corn, and carrots without labels. When a can is chosen randomly, the probability of picking a can of peas is 110, a can of beans is 310, and a can of corn is 12. What is the probability of picking a can of carrots? Select ALL that apply. 1/101/59/1010%20%90% how many 5ths are in 3 3/5

Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta} ​1+sinθ ​ ​cosθ ​​ = ​cosθ ​ ​1−sinθ ​​ ​​

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}
1+sinθ

cosθ
=
cosθ

1−sinθ