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pi/2 and -pi/2

shown using a diagram during interview
using the crab claw method, multiplying the correct components with one another, displaying how to set it out neatly and correctly to the benefit of th...

Split up the two terms: cos30° = (1/2)√3 and tan60° = √3 (from memorised values of cos and tan)Therefore 16cos30° = 8√3 and 5tan60° = 5√3 8√3 - 5√3 = 3√3 = √9 x √3 = √27x=27

we know that distance = speed x time, so we should multiply the time (in seconds) by the speed that Bob runs. So Bob runs a distance of 5 x (30x60) = 5x1800 = 9000m (or 9km)

First of all, look at what has happened to the y co ordinates, they have all been moved up by 2 units. Now consider the x co ordinates, they have been shifted to the right by 1 unit. So the vector is 1 2<...