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If a point (x,y)=(tant+sint, tant-sint) , then the locus of (x,y) is?

If a point (x,y)=(tant+sint, tant-sint) , then the locus of (x,y) is?

Grade:11

1 Answers

Vikas TU
14149 Points
6 years ago
Dear Student,
x = tant + sint
        y = tant – sint
Adding the two eq, sint = (x+y)cost / 2
Putting this in eq 1 , cost = (x – y ) / (x+y)
And sint = (x – y ) /2
Now use identity sin^2 (t) + cos^2 (t) = 1 
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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