Trigonometric equations

Here is a sketch of y = tan x for 0° x 360°

You are given that tan 72 ° = k

Work out the two values of x between 0 ° and 360 ° for which tan x = – k

θ is an angle between 270 ° and 360 ° cos θ = and tan θ = –3k where k is a positive constant.

Work out the value of θ.

Work out the values of x between 0 ° and 360 ° for which

You must show your working.

Write down the value of x for 0° ≤ x ≤ 360° when sin x = –1

Work out the values of x between 0° and 360° for which

Give your answers to 1 decimal place. You must show your working.

Here is a sketch of y = sin x for 0° x 360°

You are given that sin 220 ° = – k

Work out the two values of x for 0° x 360° for which y = k

Work out the value of x where 0° x 90° for which 3 tan² x = 1