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Combining transformations - class-X
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When the axes are rotated through an angle $\dfrac{\pi}{6}$ , find the new coordinate for $(1,0)$
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A
$(\dfrac{\sqrt3}{2},\dfrac{-1}{2})$
💡 Explanation:
$\\ sin(\frac{\pi}{6})=(\frac{b}{1})\\\therefore b= (\frac{1}{2})\\ so new y-coordinate wil be = (\frac{-1}{2})\\cos(\frac{\pi}{6})=(\frac{a}{1})\\\therefore a=(\frac{\sqrt3}{2})\\\therefore new x-coordinate =(\frac{\sqrt3}{2})$