# If tha point P( 4,3) is rotated through an angle of 450 in anti-clockwise direction about the origin, then coordinates of P in new position are ? Explain how ?

Aman Bansal
592 Points
12 years ago

The new coordinates (X,Y) are given as:

x=X Cosa - Y Sina

y= XCosa +Y Sina;

a = angle of rotation,

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Thanks

Aman Bansal

31 Points
12 years ago

But here the point is rotated and not the axis....so can we use the same formula as applicable to the rotation of axis???

Jit Mitra
25 Points
12 years ago

z= 4+3i

Let the new co-ordinate after rotation be z1 .

z1 = z*e^(i.pi/4) = (4+3i)*(cos(pi/4) + i.sin(pi/4)) = 1/sqrt(2)* (4+3i)(1+i) = 1/sqrt(2)* (1+7i)

New Point = ( 1/sqrt(2), 7/sqrt(2) )

vishal lakha
16 Points
12 years ago

it will remain (4,3)..lolz