given that tan theta =-3/4, 0°<theta 90°. find cos theta + sin theta.

Answers

Answer 1

Answer: cosθ + sinθ = -1/4.

Explanation:

cos theta + sin theta = -√(3^2 - 4^2) / 4 = -1/4

The given equation is tanθ = -3/4. We can use the Pythagorean identity to find cosθ and sinθ, which states that cos²θ + sin²θ = 1.

Since we know that tanθ = -3/4, we can substitute this value into the Pythagorean identity to get:

cos²θ + (-3/4)² = 1

Solving for cosθ gives us cosθ = √(3² - 4²) / 4 = -1/4.

Similarly, we can solve for sinθ to get sinθ = -3/4.

Now, we can add cosθ and sinθ together to get cosθ + sinθ = -1/4.


Related Questions

Which of the following is NOT a common type of vehicle inspection? Select one:
a. State safety inspection
b. Certified used car inspection
c. Engine component analysis inspection
d. Vehicle pre-purchase inspection​

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Answer:

what is information systems

The robot program uses __________ commands to perform each operation. *

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The robot program uses programming commands or instructions to perform each operation.

What is a robot program?

A robot program is a set of instructions written in a programming language that directs a robot to perform specific tasks. It specifies the robot's movements, actions, and responses to different inputs or conditions, allowing it to carry out various functions autonomously or under human supervision.

Note that the commands referenced above are written in a programming language that the robot's control system can understand and execute. The specific set of commands available to the programmer depends on the programming language being used and the capabilities of the robot.

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Based on your observations of brightness, which battery would run out more quickly when the switches are closed?

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When the switch is closed, current flows across the circuit, turning on the lightbulb. The bulb receives the full 120 volts it needs along with the intended current flow, enabling it to function at its brightest.

Does the number of batteries or the bulb itself determine how brilliant the light is?

The number of bulbs added to a circuit will affect how bright they are. When additional bulbs are connected in series, they will share the circuit's electric current, which will reduce the brightness of the lights.

Which type of light bulb, parallel or series, produces more light?

With a simple parallel circuit, the entire battery voltage is applied to each bulb. The lights on the parallel circuit are present for this reason.

As more lights are added, nothing happens if all of the bulbs are linked in parallel.

Each bulb becomes dimmer as more are added if they are all connected in series.

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What is the role of the Interstate Commerce Commission?

to ensure fair and even pricing and limit amounts charged to customers
to carry out safety regulations imposed by the Occupational Safety and Health Administration (OSHA)
to remove pricing restrictions and limits on amounts charged to customers
to limit regulation to transportation companies that operate in multiple states

Answers

In the United States, the Interstate Commerce Act of 1887 established the ICC as a separate regulatory body. The main goal of the ICC was to control the operations and economics of certain carriers.

What was the Interstate Commerce Commission's purpose?

The Interstate Commerce Commission was created to oversee the railroad business by the Interstate Commerce Act, which was adopted on February 4th, 1887. As a result of this act, the railroads were the first industry to be supervised by the federal government.

Where is the headquarters of the Interstate Commerce Commission?

Contact the Office of Public Services at the Interstate Commerce Commission, located at Twelfth Street and Constitution Avenue NW, Washington, DC 20423, for further information. Phone, 202-927-5350.

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Which of these transportation scenarios is not related to the impacts of globalization?

Consumers use the Internet to search for products and services; this causes an increase in orders from Asian countries through American “middle men” companies which then must invest in new shipping options from China.
Consumers demand that furniture be made locally, causing a drop in the use of carrier services.
Shipping for international orders drops based on increased use and the ability to bundle international orders.
Some pet foods produced internationally can only be shipped via water transportation; this eliminates small, local suppliers from accessing the market.

Answers

Answer:

The scenario where consumers demand that furniture be made locally, causing a drop in the use of carrier services, is not related to the impacts of globalization. This scenario relates to the localization of production and consumption, which is a trend that is sometimes in opposition to the globalizing trend of outsourcing production to other countries to take advantage of lower labor costs. The other scenarios are related to the impacts of globalization on transportation, including the increased use of shipping options from China, the increased use of carrier services due to internet orders, and the exclusion of small, local suppliers from the market due to the need for water transportation.

Sandy soil is made up mostly of​

Answers

Sandy soil is mostly made of sand.

Sandy soil

Sand (having big particles with big spaces) constitutes the majority of sandy soil.

There isn't much clay or silt in it. Humus is incredibly scarce in sandy soil. In desert regions, you can find sandy soil.

Sandy soil is made up of large particles with large spaces between them.

Sandy soil can be easily plowed and gives plant roots good aeration (air). It is light soil, If left bare, it frequently blows away.

Compared to other soil types, sandy soil is less fertile. Sandy soil's fertility can be increased by incorporating humus in the form of manure.

The ability of sandy soil to retain water is improved by humus, which also supplies vital plant nutrients.

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What are some criteria and constraints that engineers must consider when designing home insulation? By the way this is science and please help me

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The correct answer is When designing home insulation, engineers need to consider various criteria and constraints to ensure optimal energy efficiency and comfort while meeting safety and environmental regulations. Some of the key factors to consider are:

Climate: The insulation material must be chosen based on the climate in the area. For example, colder climates may require thicker insulation with higher R-values to prevent heat loss. Building materials: The type of insulation must be compatible with the building materials, including walls, roofs, and foundations. Health and safety: The insulation material must be safe for humans and the environment, free from harmful chemicals or substances, and comply with safety standards. Cost-effectiveness: The insulation design must be cost-effective, considering the initial cost of materials and installation as well as long-term energy savings. Durability: The insulation must be durable and able to withstand moisture, pests, and wear and tear. Installation requirements: The design must consider the ease of installation and maintenance, as well as any required safety precautions. Building codes and regulations: The insulation design must comply with local building codes and regulations. In summary, engineers must consider various factors when designing home insulation, including climate, building materials, health and safety, cost-effectiveness, durability, installation requirements, and building codes and regulations.

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While salary is definitely an important factor to consider when selecting a major to study it certainly isn’t the only thing you should take into account. What advice would you give to someone who chooses their major based only on salary why would u give this advice

Answers

I don't have personal beliefs or opinions, but I can provide you with some advice based on the facts and experiences of others.

If someone is choosing their major solely based on salary, it is important to note that this approach may not always lead to long-term job satisfaction or success. While a high-paying job can be appealing, it is important to choose a major that aligns with your interests, skills, and values.

Here are some tips to help you choose a major:

Consider your interests: Think about what you enjoy doing and what you are passionate about. Pursuing a major in a field that interests you will not only make your studies more enjoyable but also increase your chances of success in the long run.
Assess your skills: Take an inventory of your skills and strengths. Choosing a major that utilizes your strengths will increase your chances of success in your chosen field.
Evaluate your values: Consider your personal values, such as helping others, making a positive impact on the environment, or advancing technology. Choosing a major that aligns with your values will give you a sense of purpose and fulfillment.
Research job prospects: While salary is important, it is also important to research the job prospects and career paths available in your chosen major. Consider factors such as job growth, demand, and stability.
Seek advice: Talk to professors, academic advisors, and professionals in your desired field to gain insights and advice on your major decision.
Ultimately, it is important to choose a major that is meaningful to you and aligns with your interests, skills, and values. This will not only increase your chances of success but also lead to a more fulfilling and satisfying career.





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What does sharecropping tell you
about the life of those formerly
enslaved after emancipation

Answers

Answer:

Sharecropping tells me about

Explanation:

Sharecropping is a type of farming in which families rent small plots of land from a landowner in return for a portion of their crop, to be given to the landowner at the end of each year. Different types of sharecropping have been practiced worldwide for centuries, but with the southern economy in disarray after the abolition of slavery and the devastation of the Civil War, sharecropping enabled landowners to reestablish a labor force, while giving poor whites and freed Black people a means of subsistence. About two-thirds of sharecroppers were white, and one-third were Black. The system severely restricted the economic mobility of the laborers, leading to conflicts during the Reconstruction era.

Which of these is NOT one of the four A’s of defensive driving?
Action
Awareness
Anxiety
Analysis

Answers

The answer is anxiety
Answer: it’s Anxiety
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