Solving the Equation x = (1.66x10^28)/(sin^3(45)) for Binary Star Mass

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SUMMARY

The equation x = (1.66x10^28)/(sin^3(45)) can be solved by recognizing that sin^3(45) equals sin(45) multiplied by itself three times. To find the value of x, calculate sin(45) which is √2/2, then cube this value to obtain sin^3(45). Finally, substitute this result into the equation to compute x. This method is essential for determining the mass of a binary star using trigonometric functions.

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  • Basic knowledge of algebraic manipulation.
  • Familiarity with scientific notation and large numbers.
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  • Learn about trigonometric identities and their applications in physics.
  • Study the concept of binary star systems and their mass determination techniques.
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Homework Statement



Solve the equation x = (1.66x10^28)/(sin^3(45))


Homework Equations



n/a

The Attempt at a Solution



My attempt is really non existent, since I haven't had to work with sin^3 before, I haven't even seen it before this assignment. Basiclly I'm working out the mass of a binary star using the sin^3 method, and this is the last stage. The rest of the question has nothing to do with this bit I'm stuck on, so I don't think it's worth posting. Can anyone tell me how I'd go about solving this equation? Thanks!
 
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lagwagon555 said:

Homework Statement



Solve the equation x = (1.66x10^28)/(sin^3(45))


Homework Equations



n/a

The Attempt at a Solution



My attempt is really non existent, since I haven't had to work with sin^3 before, I haven't even seen it before this assignment. Basiclly I'm working out the mass of a binary star using the sin^3 method, and this is the last stage. The rest of the question has nothing to do with this bit I'm stuck on, so I don't think it's worth posting. Can anyone tell me how I'd go about solving this equation? Thanks!

Isn't sin^3(A) = sin(A)*sin(A)*sin(A) ?

http://thesaurus.maths.org/mmkb/entry.html?action=entryById&id=2723

You should be able to just calculate x with your calculator, I believe...
 
Last edited by a moderator:
Haha, not my brightest moment ever. Thanks for clearing that up!
 

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