Solving for Y in Degrees: Step-by-Step Guide and Examples

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SUMMARY

The discussion centers on solving the equation 0=[(g)(r)(sinX)-(g)(r)(y)(cosX)] / (cosX)-y(sinX) for the variable y, where x is measured in degrees. Participants agree that to isolate y, one must set the numerator equal to zero, leading to the equation (g)(r)(sinX) - (g)(r)(y)(cosX) = 0. This results in y being expressed as y = (sinX/cosX), which simplifies to y = tanX when x is in degrees. The solution process is confirmed as straightforward by multiple contributors.

PREREQUISITES
  • Understanding of trigonometric functions (sine, cosine, tangent)
  • Familiarity with algebraic manipulation and solving equations
  • Knowledge of degrees versus radians in trigonometry
  • Basic physics concepts involving gravity (g) and radius (r)
NEXT STEPS
  • Study the properties and graphs of trigonometric functions, specifically sine and cosine.
  • Learn about the relationship between degrees and radians in trigonometric calculations.
  • Explore algebraic techniques for isolating variables in complex equations.
  • Investigate applications of trigonometric functions in physics, particularly in projectile motion.
USEFUL FOR

Students studying trigonometry, educators teaching algebra and trigonometric functions, and anyone involved in physics applications requiring trigonometric solutions.

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Homework Statement



x=degrees, not radians

0=[(g)(r)(sinX)-(g)(r)(y)(cosX)] / (cosx)-y(sinx)

how do I solve for y?

Homework Equations





The Attempt at a Solution

 
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a/b=0 if a=0 no? So set the numerator equal to zero. It should be straightforward from there.
 

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