prove that: sinA/1+cosA +cosA/sinA=cosecA​

Answers

Answer 1

Answer:

We proceed to demonstrate the identity given on statement by algebraic and trigonometric means:

1) [tex]\frac{\sin A}{1 + \cos A} + \frac{\cos A}{\sin A}[/tex] Given

2) [tex]\frac{\sin^{2}A+\cos A\cdot (1+\cos A)}{\sin A\cdot (1 + \cos A)}[/tex]  [tex]\frac{a}{b} + \frac{c}{d} = \frac{a\cdot d + b\cdot c}{b\cdot d}[/tex]/Definition of power

3) [tex]\frac{\sin^{2}A+\cos^{2}A + \cos A}{\sin A\cdot (1 + \cos A)}[/tex] Distributive property/Definition of power

4) [tex]\frac{1+\cos A}{\sin A\cdot (1+\cos A)}[/tex] Associative property/[tex]\sin^{2}A + \cos^{2}A = 1[/tex]

5) [tex]\frac{1}{\sin A}[/tex] Existence of multiplicative inverse/Modulative property

6) [tex]\csc A[/tex]     [tex]\frac{1}{\sin A} = \csc A[/tex]/Result

Explanation:

We proceed to demonstrate the identity given on statement by algebraic and trigonometric means:

1) [tex]\frac{\sin A}{1 + \cos A} + \frac{\cos A}{\sin A}[/tex] Given

2) [tex]\frac{\sin^{2}A+\cos A\cdot (1+\cos A)}{\sin A\cdot (1 + \cos A)}[/tex]  [tex]\frac{a}{b} + \frac{c}{d} = \frac{a\cdot d + b\cdot c}{b\cdot d}[/tex]/Definition of power

3) [tex]\frac{\sin^{2}A+\cos^{2}A + \cos A}{\sin A\cdot (1 + \cos A)}[/tex] Distributive property/Definition of power

4) [tex]\frac{1+\cos A}{\sin A\cdot (1+\cos A)}[/tex] Associative property/[tex]\sin^{2}A + \cos^{2}A = 1[/tex]

5) [tex]\frac{1}{\sin A}[/tex] Existence of multiplicative inverse/Modulative property

6) [tex]\csc A[/tex]     [tex]\frac{1}{\sin A} = \csc A[/tex]/Result


Related Questions

SOMEONE HELP if you know about religion!!!

Which of the following best describes the belief of a covenant between God
and the Jewish people?
A. God promised the Israelites they were his chosen people.
B. Abraham was the first prophet of Judaism.
C. Orthodoxy conforms to approved doctrines.
D. Female disciples should enter a convent to attain salvation.

Answers

Which of the following best describes the belief of a covenant between God and the Jewish people?

[tex]\huge{\textbf{\textsf{{\orange{A}}{\blue{n}}{\pink{s}}{\purple{w}}{\red{e}}{\green{r}:}}}}[/tex]

[tex]\sf\purple{A. \:God\: promised \:the \:Israelites \:they \:were\: His\: chosen\: people.}[/tex]

“For you are a people holy to the Lord your God, and the Lord has chosen you to be a people of his own possession, out of all the nations that are on the face of the earth.[tex]\sf\red{ (Deut. \:14\::\:2).}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Does climate change cause global warming ?

Answers

Answer:

Global warming refers only to the Earth's rising surface temperature, while climate change includes warming and the “side effects” of warming.

Explanation:

how gender based violence has displayed its self in your community (2019-2021)​

Answers

Gender-based violence has been prevalent in my society; a guy can simply kill his wife, daughter, or sister and get away with it, and the community will not object.

What is gender-based violence?

Gender-based violence is defined as any acts of violence ordered at a individual because of their gender.

Gender inequality, power maltreatment, and detrimental norms are all factors. Gender-based violence (GBV) is a sedate violation of human abstractions as well as a severe health and safety concern.

In the society, gender-based violence is common; a man can kill his wife, daughter, or sister and get away with it, and the community will not react.

Learn more about the gender violence, refer to:

https://brainly.com/question/16923564

#SPJ2

Do you think China is rich in natural resources? Explain your answer.

Answers

Answer:

Explanation:

China has extensive deposits of coal, oil and natural gas. Besides these fossil fuels, China is a top producer of aluminum, magnesium, antimony, salt, talc, barite, cement, coal, fluorspar, gold, graphite, iron, steel, lead, mercury, molybdenum, phosphate rock, rare earths, tin, tungsten, bismuth and zinc.

If I wanted to get authentic Fiji water, where would go?

A. Polynesia
B. Melanesia
C. Macronesia
D. Micronesia

Answers

Answer:

One hundred percent of FIJI Water is from a single source in the pristine, tropical Fiji Islands, an archipelago of over 300 islands nestled in the South Pacific, more than 1600 miles from the nearest industrialized country. It is bottled at the source in the remote Yaqara Valley on the island of Viti Levu

Please predict this, I WILL give you brainliest, my school ends in 9 days so i need to get this done, thanks also no links.

Part B The Dead Sea supplies water to the communities around it. As a result, water levels of the Dead Sea have decreased by about 1.2 meters per year for the last several decades. Given that the Dead Sea has a high concentration of salt and decreasing water levels, predict what you might see along the banks of the Dead Sea.​

Answers

Answer:

salty creatures and salt when dried

Explanation:

As its volume decreases, saltiness increases, therefore, salty creatures and salt when dried will be found

In 2010, the Soufriere Hills volcano on the Caribbean island of Montserrat erupted violently, spewing huge clouds of ash and gases into the sky. How do the volcanic eruptions at the end of the Permian period and the formation of Pangaea, both of which occurred about 252 million years ago, set in motion events that altered evolutionary history

Answers

Answer and Explanation:

Pangaea is the term used to describe the supercontinent that existed millions of years ago, before the continents were spread across the globe as we know it today. The separation of continents occurs due to the rapid convections of the Earth's mantle. These mantle convections increased volcanic activity on the earth, making volcanism very active and causing numerous volcanic eruptions, which increased the concentration of carbon dioxide in the atmosphere, increasing the greenhouse effect and creating a long period of intense global warming.

It was this global warming that altered the evolutionary events on earth, promoting a strong natural selection of plants and animals, which even led to the creation of new species and extinction of old species, in addition to creating a geographical and environmental modification.

La Soufriere Hills volcano is a group of active volcanoes. The volcanic eruptions altered the climatic conditions and led to natural selection.

What is Pangaea?

Pangaea was used to describe the supercontinent that existed millions of years ago before the separation of the continents present now. The rapid convections in the mantle of the Earth caused the shift and drift in the tectonic plates.

The movement of the tectonic resulted in increased volcanic activities that caused numerous volcanic outbreaks resulting in increased carbon dioxide concentration in the environment.

This led to global warming and resulted in a change in climatic conditions. Global warming altered the evolution of the organisms through the process of natural selection and led to the extinction and the introduction of species.

Therefore, volcanic eruptions and Pangaea resulted in environmental and geographical alterations.

Learn more about volcanic eruptions here:

https://brainly.com/question/14691210

Not all mountain systems were once volcanoes. Many of them are belts of rock that crumpled when two continental plates collided, forcing one plate to slide beneath another. The _______ is an example of a mountain range that formed this way, among many, many others.

Answers

Answer: Himalayan Mountain

Explanation:

It is believed that mountains are as a result of aftermath of volcanoes but The Himalayan mountain  amongst others is an example of a mountain range  which is said to have been formed from the collision Eurasian   plates and the Indian plate which started out from the  crumpling and buckling of the Eurasian  continental plates over the Indian continental plates and acted upon by compression forces which caused the entire continental crust to fold upwards forming the mountain.

Another example is the The Appalachian Mountains.

which of the following characteristics of ah volcano depends on its magma emission?​

Answers

Answer:

READ ON TO FIND THE ANSWER

Explanation:

The shape of the volcano is determined by the magma, and these formed volcanoes depend on the magma 's viscosity or stickiness. The age, location and size of the volcano Characteristics of the volcano, depending on the emission of magma.

hope it helped!

pls mark brainliest or heart this answer if it helped you.

What are Russia' Regions?

Seems simple enough, except that I don't even know if they are called regions. All I know is that Siberia is in the same group as the rest of them. I've tried to search up exactly what they are, but different websites have different answers, so I wanted to find out exactly what they are.

Answers

Answer:

Physioeconomically, the Russian Federation may be conveniently divided into 9 major regions: the Central European Region, the North and Northwest European Region, the Volga Region, the North Caucasus, the Ural Region, Western Siberia, Eastern Siberia, Northern and Northwestern Siberia, and the Russian Far East.

Explanation:

Prompt

Everyone will experience loss at some point in their lives. Imagine that your good friend's brother has passed away and now your friend is having difficulty coping with the loss of his sibling. What are some ways you can help your friend cope with the loss?

<< Read Less

                 ​

Answers

Well in this situation the best way to help your friend cope with the loss is to sympathize understanding where are the pain could be originating from and open up ways for closer such as a viewing or allowing them to find comfort in you

Anexo 5
agua
contaminantes
1. Completa el texto con las palabras del recuadro. Consulta las páginas 159 a 161 de tu libro de
texto SEP
Las actividades desempeñadas por los seres
para satisfacer sus necesidades se
han dado desde hace siglos, pero nunca habían afectado tanto al como en la
actualidad, puesto que hay una mayor Industrialización. Se toman más producios de
lana_y hay una mayor liberación de_ca Además, ya no sólo se
elaboran productos sino de lujo, omamento y recreación. Por otro lado, la contaminación
del
representa un problema ambiental porque pone en salud y la vida. Es un
hecho que los problemas ambientales a les la calidad de vida de la población, de ahi
la Importancia de
Lahora.
medio
ambiente
básicos
riesgo
2. Consulta la página 164 de tu libro de texto SEP y escribe algunas acciones para contribuir a la
reducción de los problemas ambientales.
naturaleza
afectan
actuar
humanos ayuda doy coronita​

Answers

Answer:

o texto ja esta completo agora cade as paginas que estao pedindo e so ler elas para saber a resposta

Dar 2 ejemplos de cómo aplicamos los números enteros en las siguientes situaciones:
1. En el cambio o variabilidad de la temperatura.
2. En los hechos de la historia.
Representa estos datos en forma gráfica en una recta numérica y en una línea de tiempo.

Answers

Answer:

ainda nao estudei isso mas quando eu estudar eurespondo

who is the president of china?​

Answers

Answer:

Look below

Explanation:

Xi Jinping

Hope it helps!!

Answer:

Here is your answer

Explanation:

Xi Jinping

Picture in your mind a landform that is almost all bedrock. It could be a place like Papago Park, Camelback, Zion National Park, or another landform that sticks in your mind. Why do you see the exposure of so much bedrock, as opposed to soil covering the landform

Answers

Answer:

This happens because the particles removed from the rock move very slowly, generating an accumulation of particles, because the rate of weathering is faster than the movement of particles.

Explanation:

On a rocky relief, the weathering rate is very fast. This is because this type of region is susceptible to all the factors causing weathering, which speeds up the execution of this process. As you may already know, weathering is the geological process that allows a rock to be broken down into small sediments that form the soil.

In a rocky relief, it is possible to see an accumulation of these sediments that are particles and much bedrock that cover the relief intensely. This happens because the movement of these particles is very slow, in relation to the speed of the weathering of the rock.

sususususususussuusususussuussusuususususususususuususususu

Answers

Answer:

SUSSY BALLS

Explanation:

Sussy Balls susususussususu

Which of the following building materials normally bend and sway during an earthquake?
O brick
O adobe
O stone
O steel

Answers

The correct answer is D. Steel

Which term below describes the actions of European nations that divided up African lands and people amoung the powerful nations of Europe in the past?

Answers

Answer:

The Scramble for Africa

Explanation:

The Scramble for Africa, also called the Partition of Africa or the Conquest of Africa, was the invasion, occupation, division, and colonization of most of Africa by seven Western European powers during a short period known to historians as the New Imperialism (between 1881 and 1914).

In which of the following countries is Buddhism the most common religion.

A.Sri Lanka

B.Nepal

C.India

D.Bangladesh​

Answers

Answer: A. Shri Lanka

Explanation:

Cambodia, Thailand, Myanmar, Bhutan, and Sri Lanka are the major Buddhist countries (over 70% of population practicing) while Japan, Laos, Taiwan, Singapore, South Korea, and Vietnam have smaller but strong minority status.

The answer is Sri Lanka

z 00 m, id: 3940892861,P: 12345​

Answers

Answer:

Ok

Explanation:

How is the rock cycle linked to earthquakes? PLEASE HELP I’LL MARK BRAINLIEST!

Answers

Explanation:

Earthquakes shake and volcanoes erupt. Sections of the crust are on the move. Mountains push up and wear down. These and many other processes contribute to the rock cycle, which makes and changes rocks on or below the Earth's surface.

Give some ways in which rivers grow?​

Answers

Answer:

A river grows larger as it collects water from more tributaries along its course.

Which of the following is not a geological gradation process?
a. Weathering
b. Erosion
c. Deposition
d. Volcanism

Answers

Answer:

deposition is the answer for the question that you have asked

Answer is C, Deposition

A stone dropped freely from 72m height of
the tower and reaches the "ground on 6 seconds
calculate acceleration due to gravity of that stone
At what condition does the acceleration due to
gravity becomes Zero​

Answers

When the initial velcity is 12 m/sec in that condition the acceleration due to gravity becomes Zero​.

What is acceleration?

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The height from the stone drop,h= 72 m

t is the time period=6 sec

From Newton's second equation of motion;

[tex]\rm h = ut +\frac{1}{2} gt^2\\\\[/tex]

The condition does the acceleration due to gravity becomes Zero​ will be;

The gravitational acceleration is zero;

[tex]\rm h = ut +\frac{1}{2} \times 0t^2\\\\h=ut \\\\ 72 =6u \\\\ u= 12 m/sec[/tex]

Hence when the initial velcity is 12 m/sec in that condition the acceleration due to gravity becomes Zero​.

To learn more about the acceleration refer to the link;

https://brainly.com/question/2437624

Europe currently enjoys a very high standard of living because:
O A. it has more colonies than other regions of the world.
O B. it has more available petroleum than other countries.
O C. it has many constitutional monarchies.
D. it started the Industrial Revolution.

Answers

Answer:

OA

Explanation:

Answer:

D

Explanation:

I just did it

The process in which sediment is transported from one place to another is called____
a. Cementation
b.weathering
c.erosion
d. Deposition

Answers

The process in which sediment is transported from one place to another is called Erosion

Which was an effect of the Industrial Revolution?
A. Decrease in standard of living
B. Global population increase
C. Democracy in England
D. Decreased productivity

Answers

Answer:

B

Explanation:

The Industrial Revolution had many positive effects. Among those was an increase in wealth, the production of goods, and the standard of living. People had access to healthier diets, better housing, and cheaper goods. In addition, education increased during the Industrial Revolution.

Family relationships and issues​

Answers

Explanation:

family and relationships problem can occur between partner, parents, children,friends,and other important in your life.

Three renewable sources of energy are air....................................and sunlight

Answers

Answer:

Water is the answer.

Explanation:

Hope it helps you:)

I WILL MARK YOU AS THE BRAINLIEST ANSWER!!!!!

1.) What is a brief history of the island of Jamaica. Beginning with the native Indian population and going through Spanish exploration to the introduction of Africans, to modern day.

Answers

Answer:

Explanation:

The original inhabitants of Jamaica are believed to be the Arawaks, also called Tainos. They came from South America 2,500 years ago and named the island Xaymaca, which meant ““land of wood and water”. The Arawaks were a mild and simple people by nature.

The name Jamaica is derived from Xaymaca, the Taíno-Arawak name for the island, which translates, as 'isle of springs'. Jamaica was charted by Christopher Columbus during his second voyage and the first Europeans to arrive on the island were the Spanish in 1509.

The first Africans to arrive in Jamaica came in 1513 from the Iberian Peninsula. When the British Empire captured Jamaica in 1655, many of them fought with the Spanish, who gave them their freedom, and then fled to the mountains, resisting the British for many years to maintain their freedom, becoming known as Maroons

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