This circle has the centre at the origin and a radius of 1 unit. The point P can move around the circumference of the circle. At point P the \(x\)-coordinate is \(\cos{\theta}\) and the ...

Vector mathematical illustration of function y=sin x and y=cos x. The sine and cosine functions are shown in a graph, chart. trigonometric or goniometric functions. The icon is isolated on a white ...

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Express the polar equation \(r=\cos 2\theta\) in rectangular coordinates. Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\text{.}\) Sketch the graph of the curve whose ...

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## return make_point(sin(2*pi*t*t), cos(2*pi*t*t)) ##The difference is alternative_unit_circle has an extra *t ##Looking at the sin and cos graph against pi we can see that the curve responds\ ...