Let P be the image of the point $$($$–$$3$$, $$2)$$ with respect to $$x-axis$$. Keeping the origin as same, the coordinate axes are rotated through an angle $$60$$° in the clockwise sense. The coordinates of point P with respect to the new axes are

Question

Infinity Learn · Accepted Answer

Since P is the image of the point $$($$–$$3$$, $$2)$$ with respect to $$x-axis$$, therefore, the coordinates of P are $$($$–$$3$$, –$$2)$$.Let (x$$′, y′ $$) be the coordinates of P with respect to new axes. Then,x'$$=x$$ $$cos$$ α$$+y$$ $$sin$$ α$$=-3cos(-600)-2$$ $$sin$$$$(-600)=-32+3=23-32y$$'$$=x$$ $$sin$$ α$$+y$$ $$cos$$ α$$=3$$ $$sin$$$$(-600)-2$$ $$cos$$$$(-600)=33+22$$∴ Coordinates of P are $$23-32$$,$$-33+22$$

Let P be the image of the point (–3, 2) with respect to x-axis. Keeping the origin as same, the coordinate axes are rotated through an angle 60° in the clockwise sense. The coordinates of point P with respect to the new axes are

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