MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions
Problem
For each natural number k , let Ck denotes the circle with radius k cm and centre at origin. On the circle Ck , a particle moves k cm in the counter-clockwise direction. After completing its motion on Ck , the particle moves on Ck+1 in the radial direction. The motion of the particle continues in this manner. The particle starts at (1,0) . If the particle crosses the positive direction of the x-axis for the first time on the circle Cn , then n is equal to