Trigonometric proof

In this question you must show all stages of your working.

Solutions relying entirely on calculator technology are not acceptable.

Prove that

Hence solve, for 0 < x < 90, the equation

Give each answer, in degrees, to one decimal place.

In this question you should show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

Given that 1 + cos 2θ + sin 2θ ≠ 0 prove that

Hence solve, for 0 < x < 180°

giving your answers to one decimal place where appropriate.

In this question you should show all stages of your working.

Solutions relying entirely on calculator technology are not acceptable.

Given that 1 + cos 2θ + sin 2θ ≠ 0 prove that

Hence solve, for 0 < x < 180°

giving your answers to one decimal place where appropriate.

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

Show that cosecθ − sinθ ≡ cosθcotθ θ ≠ (180n)° n

Hence, or otherwise, solve for 0 < x < 180° cosec x − sin x = cos x cot (3 x − 50°)

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

Show that

Hence solve, for −90° x ≤ 180°, the equation

Prove

Hence solve, for 90° θ 180°, the equation

giving any solutions to one decimal place.

Prove that

Hence solve, for < x < the equation

Give any non-exact answer to 3 decimal places where appropriate.