Solve 15=35sinΘ Equation with No Calculator

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SUMMARY

The equation 15=35sinΘ is part of a larger problem involving projectile motion, specifically relating to the formula for vertical displacement. The equation includes terms for gravitational acceleration and requires solving for Θ using trigonometric identities. Users reported difficulties with computational tools like Wolfram Alpha due to the equation's complexity. The discussion emphasizes the importance of proper parentheses placement in mathematical expressions to avoid misinterpretation.

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  • Understanding of trigonometric functions, specifically sine.
  • Familiarity with projectile motion equations in physics.
  • Knowledge of algebraic manipulation and solving equations.
  • Experience with computational tools like Wolfram Alpha for solving complex equations.
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  • Study the derivation of projectile motion equations in physics.
  • Learn how to use Wolfram Alpha effectively for complex calculations.
  • Explore trigonometric identities and their applications in solving equations.
  • Practice algebraic manipulation techniques to simplify complex expressions.
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Students studying physics, particularly those focusing on projectile motion, as well as educators and tutors looking to assist with complex trigonometric equations.

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Homework Statement



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

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