A pointer fixed at the centre of a circular dial starts from the positive -axis and…

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

A pointer fixed at the centre of a circular dial starts from the positive xx-axis and rotates counter-clockwise. (i) After turning through 975o975^{\text{o}}, express the total rotation in radians, giving your answer in exact form. (ii) Determine the smallest positive coterminal angle in radians that is equivalent to the rotation obtained in part (i). (iii) How many complete revolutions has the pointer made? (iv) If one complete revolution of the pointer is recorded as a single count, what fraction of the next revolution has it completed after the rotation found in part (i)? Express your answer as a rational number.

Related theory

Browse the problem library