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When dealing with powers of complex numbers, always start by putting the quantity into exponential form.

i has a magnitude of 1 and an ...

let y=arsinh(x)x=sinh(y)=(e^y - e^-y)/22x=e^y - e^-y2x*e^y=e^y-1 (multiply bye^y)0=(e^y)²-2xe^y-1This i...

We don't know what type of a triangle we're considering here. Therefore the universal and quickest solution to the first problem is use of the cosine rule, which states that for a triangle with sides a,b ...

firsly sketch out the 2-2i on an argand diagrm and draw a line from (0,0) to (2,-2). With the shortest distance Mark the angle theta from the positive x-axis to the line to see whether the argument is ...