Optical or magnetic sensors for position and angle sensing in motion control systems generally provide sine and cosine signals for conversion. The 90° phase shift between sine and cosine allows ...

Cosine and sine of an angle θ are defined to be the x and y-coordinates of the point P on the unit circle with the property that the line from O to P makes and angle θ with the positve x-axis. cos(θ) ...

Demodulators, directional circuits,and other electronics applicationsoften need two sine waves witha 90° difference in phase—a sine waveand its cosine wave. Engineers typicallyuse analog filters to ...

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 ...

The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership is a mixture of school teachers, college and university lecturers, ...

Trigonometry is the branch of mathematics that explains the relationship between sides and angles of a triangle. In a right angled triangle the three sides are perpendicular, base and hypotenuse, as ...

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 ...