Solve the equation as follows:

MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Solve the equation sin⁡2x−cos⁡x=0\sin 2x-\cos x=0 as follows: (i) Factorise the left–hand side completely. (ii) Find all values of xx in the interval 0≤x<2π0\le x<2\pi that satisfy the equation. (iii) Verify each solution by direct substitution in the original equation.

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