As the point P moves anticlockwise around the circle from 0°, the angle θ changes. The values of cos θ and sin θ also change. The graphs of y = sin θ and y = cos θ can be plotted.

1. Write down the maximum and minimum values of 5 sin ⁡ x + 2 cos ⁡ x and the value (s) of x in the interval 0 ≤ x ≤ 2 π where these occur. 2. Determine the roots of the equation 5 sin ...