1.

(i) If the axes are rotated through an angle 30^(0) , then find the coordinates of (1,2) in the new system . (ii) If the axes are rotated through an angle 30^(0), then find the coordinates of (-2, 4) in the new system. (iii) When the axes are rotated through an angle (pi)/(2) , find the new coordinates of the point (alpha, 0)

Answer»


Answer :(i) `((SQRT(3) + 2)/( 2), (-1 + sqrt(3))/( 2))`
(ii) `(2 - sqrt(3), 1 + 2 sqrt(3))`
(iii) `(0, - ALPHA)`


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