Mike Phipps

Given random graph of cirlce, write locus in complex form. centre in 1st quadrant

given equation of locus in form |z-a|=bfind centre and radius. multiple choice question

given random circle on graph with centre in 2nd or 3rd quadrant. find loci in complex form

Given |z-a|=b multiple choice question to describe the locus

11 questions that test trig equations including use of identities and those needing stretches and translations. Also some questions related to trig graph shapes and applications.

given trig function applied to tides. students need to find max depth, time of low tide and times between which a boat of given depth can use the port.

given trig equation. find period, amplitude and phase shift

given plot of a graph. find amplitude, period and phase shift

trig equation that uses cos2x=c^2-s^s

solve trig equation that requires use of s^s+c^2=1. with worked solutions.

solve trig equation involving sin2x=2sinxcosx in a given interval

solve trig equation involving a translation in given internval. with worked solutions

Solve trig equation in a given internval with stretch and worked solutions

Solving cosx in given interval. With random variation and worked solutions.

Solving sinx in given interval. With random variation and worked solutions.

Solving tanx in given interval. With random variation and worked solutions.

Simple multiplication of complex conjugates. Complex numbers are of the form $a+bi$ where $a$ and $b$ are randomised between 1 and 9 inclusive.