Express Parameter as x & y: Eliminate 2t

  • Thread starter meson0731
  • Start date
In summary, expressing a parameter as x & y means to represent a variable or quantity in terms of two other variables, x and y. To eliminate 2t from an expression, you can use algebraic techniques such as substitution or elimination. Eliminating 2t can help simplify the equation and make it easier to solve, as well as aid in graphing and identifying variable relationships. Common methods for eliminating 2t include substitution and elimination. For example, for the expression 3x + 2t = 10, you can eliminate 2t by subtracting 2t from both sides to get 3x = 10 - 2t. Another example would be for the expression 5y - 2t
  • #1
meson0731
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0

Homework Statement



Eliminate the parameter and express in x and y

x= 2-3cos2t y= 5+7sin2t


Homework Equations





The Attempt at a Solution



I tried changing them in terms of cos^2t and sin^2t. I change the first equation into ((x-5)/6) = cos^2t. But I can't figure out how to change the second one in terms of sin^2t.
 
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  • #2
Use ##\cos^2(2t)+\sin^2(2t)=1##.
 
  • #3
Ahh thanks didn't know you could do that
 

What does "Express Parameter as x & y" mean?

Expressing a parameter as x & y means to represent a variable or quantity in terms of two other variables, x and y.

How do you eliminate 2t from an expression?

To eliminate 2t from an expression, you can use algebraic techniques such as substitution or elimination. For example, if the expression is 3x + 2t = 10, you can subtract 2t from both sides to get 3x = 10 - 2t.

Why is it important to eliminate 2t from an expression?

Eliminating 2t from an expression can help simplify the overall equation and make it easier to solve. It can also help in graphing and identifying the relationship between variables.

What are some common methods for eliminating 2t from an expression?

Some common methods for eliminating 2t from an expression include substitution, where you replace the variable 2t with a different expression, and elimination, where you add or subtract equations to eliminate the variable.

Can you provide an example of eliminating 2t from an expression?

Yes, for the expression 3x + 2t = 10, you can eliminate 2t by subtracting 2t from both sides to get 3x = 10 - 2t. Another example would be for the expression 5y - 2t = 15, you can eliminate 2t by adding 2t to both sides to get 5y + 2t = 15 + 2t.

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