SOLUTION: If cos = x/4 and sin = 5y/3, eliminate the parameter: A)25x^2/9 + y^2/16 = 1 B)x^2/16 + 25y^2/9 = 1 C)25x^2/9 - y^2/16 = 1 D)x^2/16 - 25y^2/9 = 1

Algebra ->  Trigonometry-basics -> SOLUTION: If cos = x/4 and sin = 5y/3, eliminate the parameter: A)25x^2/9 + y^2/16 = 1 B)x^2/16 + 25y^2/9 = 1 C)25x^2/9 - y^2/16 = 1 D)x^2/16 - 25y^2/9 = 1      Log On


   

Question 1106749: If cos = x/4 and sin = 5y/3, eliminate the parameter:
A)25x^2/9 + y^2/16 = 1
B)x^2/16 + 25y^2/9 = 1
C)25x^2/9 - y^2/16 = 1
D)x^2/16 - 25y^2/9 = 1
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
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To eliminate the parameter in this problem, use the identity cos%5E2%28a%29 + sin%5E2%28a%29 = 1,  which will give you


%28x%2F4%29%5E2 + %285y%2F3%29%5E2 = 1,   or


x%5E2%2F16 + 25y%5E2%2F9 = 1.


Now identify it with one of four your options.