Finding angle X when given an inequation and a weird equation

  • Thread starter Paulo Serrano
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In summary, the conversation is about finding a solution to the equation sin(x) + sin(2x) + sin(3x) = 0, with a link to a Wolfram Alpha page for reference. The person asking for help is unsure of where to start and asks for clarification on any relevant formulas. The expert suggests using the double-angle formula and the identity sin^2(x)+cos^2(x)=1 to help solve the equation.
  • #1
Paulo Serrano
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Homework Statement



sin (x) + sin (2x) + sin (3x) = 0
http://www4b.wolframalpha.com/Calculate/MSP/MSP531196eg6ff0edb8i9400000gb08c7ag3hfbfeh?MSPStoreType=image/gif&s=8

Sorry for not following the recommended layout, it's just that this question boggles me and I don't know any relevant formulas or where to start.

I know the http://www28.wolframalpha.com/input/?i=sin+x+++sin+2x+++sin+3x+=+0,+pi/2+<+x+<+pi"but I don't know how to get to it.

Thanks in advance to whoever tries to help
 
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  • #2
Do you know a formula for sinP+sinQ? (or the sum to product formula for sin?)
 
  • #3
Use the double-angle formula to expand the [tex]sin(2x)[/tex] and [tex]sin(3x)[/tex] - notice that [tex]sin(3x)=sin(2x+x)[/tex] , then collect like terms and factor as much as possible while using [tex]sin^2(x)+cos^2(x)=1[/tex] to aid you in the factoring process.
 

FAQ: Finding angle X when given an inequation and a weird equation

What is an inequation?

An inequation is a mathematical statement that compares two quantities using symbols such as <, >, ≤, or ≥. It represents a range of possible solutions rather than a single value.

How do I find angle X in a given inequation?

To find angle X, you will need to solve the given inequation by isolating the variable, which is the angle X in this case. You can do this by using algebraic operations and following the rules of inequality. Once you have determined the possible range of values for angle X, you can then use other given information, such as the given equation, to narrow down the solutions and find the exact value of angle X.

What is a "weird" equation?

A "weird" equation, in this context, refers to an equation that may not follow the usual rules or patterns that we are used to seeing. It may involve strange or uncommon mathematical operations, symbols, or variables. Solving a "weird" equation may require you to think outside the box and use unconventional methods.

Can I use a calculator to find angle X in this situation?

It depends on the specific inequation and equation given. In some cases, a calculator may be useful to help you solve the problem. However, it is important to remember that calculators may not always give accurate or precise solutions, and it is always best to double-check your work by hand.

Is there a set formula for finding angle X in this type of problem?

No, there is not a single formula that can be used to find angle X in all situations involving an inequation and a "weird" equation. Each problem is unique and may require a different approach or combination of strategies. It is important to carefully analyze the given information and use your mathematical knowledge and problem-solving skills to determine the best method for finding angle X.

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