Solve 15=35sinΘ Equation with No Calculator

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Also, when you post in the future, please use the template provided by the site, with a clear, concise description of the problem you are trying to solve. In summary, the conversation is about a user seeking help with solving a complex equation due to not having a suitable calculator. They mention trying to use Wolfram Alpha but encountering issues with computational power. They also provide a clarification about the parentheses in the equation. However, no specific problem or equation is mentioned.
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Zashmar
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Homework Statement



please help me solve the following, I do not have a good enough calculator :(

15=35 sinΘ([itex]-35 sin\vartheta \pm( \sqrt{(35sin \vartheta)^2 -294)}/-9.8[/itex]) -4.9(([itex]-35 sin\vartheta \pm( \sqrt{(35sin \vartheta)^2 -294)}/-9.8[/itex])^2

It is a massive equation, I tired using wolfram alpha but it took too much computational power...

PS. The parentheses should cover all of the square root, so that it was divided by -9.8
Thanks
 
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Can you show the problem you want to solve?
This does not look right.
 

FAQ: Solve 15=35sinΘ Equation with No Calculator

What is the equation 15=35sinΘ?

The equation 15=35sinΘ is an equation that involves the sine function and a variable, Θ. It states that when 15 is divided by 35, the result is equal to the sine of the angle Θ.

Why is this equation important?

This equation is important because it is a fundamental trigonometric equation that is used in many fields of science and mathematics. It allows us to solve for an unknown angle in a right triangle or other trigonometric applications.

How can this equation be solved without a calculator?

This equation can be solved without a calculator by using trigonometric identities and properties, such as the double angle formula, the Pythagorean identity, and the unit circle. These methods involve using basic arithmetic and algebraic operations to isolate the variable Θ and solve for its value.

What are the steps to solve this equation?

The steps to solve 15=35sinΘ without a calculator are:

  • Divide both sides by 35 to isolate the sine function.
  • Use the inverse sine function to find the angle whose sine is equal to the result of the previous step.
  • Check for any restrictions on the angle, such as a limited domain or range, and adjust the solution accordingly.

What are some real-world applications of this equation?

This equation has many real-world applications, such as in physics, engineering, and navigation. It can be used to calculate the height of an object, the distance between two points, or the angle of elevation or depression in a given situation. It is also used in fields like astronomy and surveying to make precise measurements and calculations.

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