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(i) If the axes are rotated through an a...

(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)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `((sqrt(3) + 2)/( 2), (-1 + sqrt(3))/( 2))`
(ii) `(2 - sqrt(3), 1 + 2 sqrt(3))`
(iii) `(0, - alpha)`
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