SOLUTION: If x = Asinθ and y = Bcosθ, find an expression that does not involve θ.

Algebra.Com
Question 975045: If x = Asinθ and y = Bcosθ, find an expression that does not involve θ.
Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!
x = Asinθ  <-- solve for sinθ

     sinθ = x/A

y = Bcosθ  <-- solve for cosθ

     cosθ = y/B

Use the well-known identity

sin²θ  + cos²θ = 1

(x/A)² + (y/B)² = 1

Edwin
RELATED QUESTIONS

If Asin^2θ + Bcos^2θ = C, express sinθ and cosθ in terms of A, B and... (answered by Edwin McCravy)
If 4sin(θ) = x for 0 < θ < π/2,find an expression for sin(2θ) in... (answered by lwsshak3)
Suppose that tanθ=2/y. Find an expression in y for... (answered by stanbon)
If sec(θ) = x/2 for 0 < θ < π/2 ,find an expression for ln|sec(θ) +... (answered by robertb)
find the value of √sinθ cosθ/secθ cscθ given that tanθ=3/4 (answered by Alan3354)
Find the value of √sinθ cosθ/secθ cscθ given that tanθ=3/4 (answered by Alan3354)
Find the exact value of the expression or state that it does not exist: csc^-1 (-2)... (answered by KMST)
Find secθ if tanθ = 0.6, and θ is not in the first... (answered by Alan3354)
Find the values of the trigonometric functions of θ if csc θ = 13/9 and... (answered by Alan3354,ewatrrr)