Understand the unit circle definition of cos(𝜃), sin (𝜃) and tan (𝜃) and periodicity using radians.

Determine all solutions to 2sin(θ) + 1 = 0, where 0 ≤ θ ≤ 4π.

Determine all solutions to sin(θ) = √3/2, where 0 ≤ θ ≤ 4π. Express your answers in exact form using radians.

A point $P$ on the unit circle corresponds to an angle of $\frac{5\pi}{6}$ radians measured anticlockwise from the positive $x$-axis. Which of the following correctly describes the coordinates of point $P$ and the value of $\tan\left(\frac{5\pi}{6}\right)$?

A point $P$ moves on the unit circle. When the angle from the positive $x$-axis to $OP$ is $\frac{7\pi}{6}$ radians, determine: (a) the coordinates of point $P$, (1 mark) (b) the exact value of $\tan\left(\frac{7\pi}{6}\right)$. (2 marks)