Trigonometry and Modelling

i.

Determine the values of $x\,$ in the interval $\pi\,$ that satisfy the equation:

7.5)(\sqrt{3}\operatorname{cosec} x - 2) = 0

[3]

ii.

Solve, for $0∘<θ<360∘0^\circ < \theta < 360^\circ$ , the equation:

3\cos 2\theta + 8\cos \theta = 1

Give your answers to one decimal place.

[5]

i.

Determine the values of $x\,$ in the interval $\pi\,$ that satisfy the equation:

7.5)(\sqrt{3}\operatorname{cosec} x - 2) = 0

[3]

ii.

Solve, for $0∘<θ<360∘0^\circ < \theta < 360^\circ$ , the equation:

3\cos 2\theta + 8\cos \theta = 1

Give your answers to one decimal place.

[5]

Trigonometry and Modelling Questions