Trigonometry and Modelling

i.

Solve, for $−π<x<π-\pi < x < \pi$ , the equation

4\cos(2x - 0.3) + 1 = 0

giving your answers, in radians, to 2 decimal places.

[5]

ii.

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

3\tan \theta \sin \theta = 8 - \cos \theta

giving your answers, in degrees, to one decimal place.

[5]

i.

Solve, for $−π<x<π-\pi < x < \pi$ , the equation

4\cos(2x - 0.3) + 1 = 0

giving your answers, in radians, to 2 decimal places.

[5]

ii.

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

3\tan \theta \sin \theta = 8 - \cos \theta

giving your answers, in degrees, to one decimal place.

[5]

Trigonometry and Modelling Questions