eliminate theta from x= costheta + sintheta and y = costheta × sintheta
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Answer:
x²-2y-1 = 0 is your answer
Step-by-step explanation:
- we have , x=cosθ+sin
- by squaring both sides, x² =sin²θ + cos²θ+2*cosθ*sinθ.............................................................................(i)
- and we have also, y=cosθ×sinθ
- =by multiplying 2 in both sides , we get, 2y=2×cosθ×sinθ
- by putting the value of 2y in equation (i) we get
- x²=sin²θ+cos²θ+2y {sin²θ+cos²θ=1}
- x²=1+2y
- x²-2y-1=0(Ans.)
- thank u..................
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