The point undergoes two successive anticlockwise rotations about the origin: first by…

MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

The point

Q(-2,5)

undergoes two successive anticlockwise rotations about the origin: first by

30^{\circ}

and then by

45^{\circ}

. (i) Determine the single angle through which

Q

is effectively rotated. (ii) Calculate the coordinates of the final image of

Q